35077 lines
2.0 MiB
35077 lines
2.0 MiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Introduction to Dynamical Systems\n",
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"### Reference Case Conviction Voting\n",
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"\n",
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"## A Brief Intro\n",
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"Dynamical Systems are mathematical structures which describe evolution over time. Historically they are analyzed in Continuous Time because they are used to design, test and control physical systems. Over recent decades they have also been used to design, test and control computer systems. They are powerful abstractions that have helped manage the relationships between physical and computational systems, and even social systems (as they are critical ingredients in stochastic dynamic genereal equilibrium models which are used in macroeconomics). Whether continuous or discrete dynamical systems are traditional associated with real valued vectors, matrices and tensors. Moving away from real valued fields, we can define dynamical systems over arbitrary data structures to recover a broader family models inckuding but not limited to agent based models. In the case of the conviction voting cadCAD model we have a Generalized Dynamical System whose state contains a network object encoding a range of relationships as well as both numerical and non-numerical information. For the purpose of this short explainer, we will zoom in specifically on the calculation of conviction itself, which we can understand a Discrete Linear Time Invariant (LTI) system. \n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Canonical Forms\n",
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"\n",
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"Canonical forms use $x_t$ for the state of the system, and $u_t$ to describe inputs from external systems.\n",
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"\n",
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"Continous-time Non-linear Dynamical System:\n",
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"\n",
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"$\\dot x_t = f(x_t, u_t)$\n",
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"\n",
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"Continuous-time Linear Time Invariant (LTI) Dynamical Systems:\n",
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"\n",
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"$\\dot x_t = A x_t + B u_t$\n",
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"\n",
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"Discrete-time Non-linear Dynamical System:\n",
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"\n",
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"$x_{k+1} = f(x_k, u_k)$\n",
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"\n",
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"Discrete-time Linear Time Invariant (LTI) Dynamical Systems:\n",
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"\n",
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"$x_{k+1} = A x_k + B u_k$\n",
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"\n",
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"For cases where the discrete time system can be embedded directly in a continuous time, the time indexes can be mapped directly:\n",
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"\n",
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"|**Time Index Mapping Table 1** |\n",
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"| ---: | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n",
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"| **discrete-time** | $0$, | $1$, | ,$\\ldots$, | $k-1$, | $k$, | $k+1$, | $k+2$, | $\\ldots$|\n",
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"| **continuous-time** | $0$, |$\\Delta t$ | ,$\\ldots$, |$t-\\Delta t$, | $t$, | $t+\\Delta t$, |$t+2\\Delta t$, |$\\ldots$| \n",
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"\n",
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"For systems comprised of discrete events with strict ordering (eg state machines), we have any mapping that respects the order\n",
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"\n",
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"|**Time Index Mapping Table 2** |\n",
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"| ---: | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n",
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"| **discrete-time** | $0$, | $1$, | ,$\\ldots$, | $k-1$, | $k$, | $k+1$, | $k+2$, | $\\ldots$|\n",
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"| **continuous-time** | $t_0$, |$t_1$ | ,$\\ldots$, |$t_{k-1}$, | $t_k$, | $t_{k+1}$, |$t_{k+2}$, |$\\ldots$| \n",
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"| **time delta** | | $t_1-t_0$ | ,$\\ldots$, | $t_{k-1} -t_{k-2}$, | $t_{k} -t_{k-1}$, | $t_{k+1} -t_{k}$, |$t_{k+2} - t_{k+1}$, |$\\ldots$| \n",
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"\n",
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"noting that the time deltas can be further denoted $\\Delta t_k =t_{k} -t_{k-1}$, such that $t_k = t_0+\\sum_{\\kappa =0}^{k-1} \\Delta t_k$ for all $k>0$.\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Translating the Simplified Conviction Voting Example\n",
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"\n",
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"Suppose we start by only considering a single proposal and a single participant voting for that proposal. The conviction voting algorithm is **not** presented in canonical notion. In our case the state we are interested in is the conviction $y_t$ and the inputs from the external system are the actions of partipants staking a quantity of tokens $x_t$. Based on the notes above the canonical form would call conviction $x_k$ and the tokens staked $u_k$, but the table below includes the definitions that match the conviction voting documentation:\n",
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"\n",
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"$y_{t+1} = \\alpha y_t + x_t$\n",
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"\n",
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"| Term | Canonical Notation | Defintion| Alternative notation|\n",
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"| :--:| :--: | :--:| :--: |\n",
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"| Conviction | $x_k$ | the accumulated support for the proposal at epoch $k$ | $y_t$|\n",
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"| Support | $u_k$ | the number of tokens staked in support of the proposal at epoch $k$| $x_t $ |\n",
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"\n",
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"Expressed in the Canonical form we have:\n",
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"\n",
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"$x_{k+1} = A x_k + B u_k$\n",
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"\n",
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"with $A = \\alpha$ and $B=1$, yielding\n",
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"\n",
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"$x_{t+k} = \\alpha x_k + u_k$\n",
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"\n",
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"For ease of reading we will stick to the notation in the other conviction voting documentation for the rest of this note but we recommend using the translation to the canonical form when refering to literature on dynamical systems to learn more.\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Properties via the Simplified Example\n",
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"\n",
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"A one dimension Discrete-time LTI systems with initial condition $y_0$\n",
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"\n",
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"$y_{t+1} = \\alpha y_t + x_t$\n",
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"\n",
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"which can also be expressed as\n",
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"\n",
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"$y_{t+1}-y_t=\\Delta y_t = -(1-\\alpha) y_t + x_t$\n",
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"\n",
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"and as\n",
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"\n",
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"$y_T = y_0 +\\sum_{t=0}^{T-1} \\Delta y_t = \\alpha^T y_0 + \\sum_{t=0}^{T-1} \\alpha^t \\bar x$ when $x_t = \\bar x$ is a constant, thanks to telescoping series. we can also project the eventual conviction for any constant $x$ as\n",
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"\n",
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"$\\hat y(x) = \\lim_{T\\rightarrow \\infty} \\left( \\alpha^T y_0+\\sum_{t=0}^{T-1} \\alpha^t x\\right) = \\frac{x}{1-\\alpha}$ using geometric series.\n",
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"\n",
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"The first most important property is \"stability\". This is an entire topic in its own right but let's suffice to observe that as long as $\\alpha \\in [0,1)$ then growth in $y_t$ is bounded. In particular, for any $x$ this system is stable around the equilibrium $\\hat y(x_t) = \\frac{x_t}{(1-\\alpha)}$, even if $y_t \\neq \\hat y(x_t)$. In this way, our algorithm is tracking the signal $y_t$ can be thought of tracking the signal $\\frac{x_t}{1-\\alpha}$ with some intertia muting the volatility.\n",
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"\n",
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"The equation $\\hat y(x) = \\frac{x}{(1-\\alpha)}$ tells us precisely that each token in a conviction voting system contributes at most $\\frac{1}{1-\\alpha}$ \"conviction\" toward passing the proposal.\n",
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"\n",
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"Clearly, this expression goes unstable when $\\alpha =1$, in which case our algorithm diverges. Consider the sum over time to see the instability:\n",
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"\n",
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"$\\lim_{T\\rightarrow \\infty} y_T \\ge \\lim_{T\\rightarrow \\infty} \\sum_{t=0}^{T-1} \\bar x = \\infty$\n",
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"\n",
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"for strictly positive values $x_t\\ge \\bar x >0$ as $T\\rightarrow \\infty$.\n",
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"\n",
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"So in conviction voting we require that $\\alpha\\in [0,1)$. Technically it is legal to set $\\alpha = 0$ at which point this system simply $y_{t+1} = x_t$ sets the conviction to the amount of tokens staked. Although, $x_t$ can still vary overtime, there is no accumulation. The choice of $\\alpha>0$ is made to create a \"leaky integrator\" which takes its name from a leaky bucket analogy.\n",
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"\n",
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"\n",
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"The leaky bucket analogy also helps us understand $\\alpha$ in terms of its relationshio to the \"half-life\" of the fluid in the bucket when we turn off the inflow. In this case there is some previously accumated conviction in our initial condition $y_0 >0$ but $x_t = 0$. In this case the dynamics are simply:\n",
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"\n",
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"$y_{t+1} = \\alpha y_t$ \n",
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"\n",
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"which is equivalent to \n",
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"\n",
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"$y_T = \\alpha^T y_0$\n",
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"\n",
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"The half-life of this system is defined by $T$ such that $y_T = y_0/2$ which satisfies the equation\n",
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"\n",
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"$\\frac{1}{2} = \\alpha^T$\n",
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"\n",
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"thus the Half life in epochs for a given $\\alpha$ is\n",
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"\n",
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"$T = -\\log_\\alpha 2$\n",
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"\n",
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"and conversely the $\\alpha$ which achieves a desired half-lige $T$ is\n",
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"\n",
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"$\\alpha = 2^{-1/T}$\n",
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"\n",
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"Further note that the relationship between $T$ and $\\alpha$ is sensative to timescaling. Suppose we wanted a half-life of 3 days but our discrete time scale has 1 hour epochs, then we must use $T = 24 \\times 3 = 72$ in the above equation.\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"tags": []
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"0.9057236642639067\n",
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"0.9958826236582974\n"
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]
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}
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],
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"source": [
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"#consider a desired half life of 7 periods (day)\n",
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"# then alpha is given by\n",
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"alpha = 2**(-1/7)\n",
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"print(alpha)\n",
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"#note that if the implementation has epochs of such that there are 24 updates per period (day)\n",
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"#then the implementation alpha would be\n",
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"alpha = 2**(-1/(7*24))\n",
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"print(alpha)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"alpha=.9\n",
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"\n",
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"time = np.arange(0,200,1)\n",
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"\n",
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"K = len(time)\n",
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"\n",
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"step_up = np.zeros(K)\n",
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"step_down = np.ones(K)\n",
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"noisy = np.random.rand(K)\n",
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"\n",
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"for k in range(K): \n",
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" if k>K/2:\n",
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" step_up[k]=1\n",
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" step_down[k]=0\n",
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"\n",
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"step_up_response = np.empty(K)\n",
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"step_up_response[0]=0\n",
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"\n",
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"step_down_response = np.empty(K)\n",
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"step_down_response[0]=0#1/(1-alpha)\n",
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"\n",
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"noisy_response = np.empty(K)\n",
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"noisy_response[0] = 0\n",
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"for k in range(K-1):\n",
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" step_up_response[k+1] = alpha*step_up_response[k] + step_up[k]\n",
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" step_down_response[k+1] = alpha*step_down_response[k] + step_down[k]\n",
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" noisy_response[k+1] = alpha*noisy_response[k] + noisy[k]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"Text(0, 0.5, 'Conviction Accumulated')"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"image/png": 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],
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"text/plain": [
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"<Figure size 432x288 with 2 Axes>"
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]
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},
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"metadata": {
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},
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}
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],
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"source": [
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"fig, ax1 = plt.subplots()\n",
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"\n",
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"ax2 = ax1.twinx()\n",
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"ax1.plot(time, step_up, 'b-')\n",
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"ax2.plot(time, step_up_response, 'g-')\n",
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"\n",
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"ax1.set_xlabel('time')\n",
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"ax1.set_ylabel('Tokens Staked', color='b')\n",
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"ax2.set_ylabel('Conviction Accumulated', color='g')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"Text(0, 0.5, 'Conviction Accumulated')"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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" </g>\n",
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" </g>\n",
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" </g>\n",
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" <defs>\n",
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" </defs>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<Figure size 432x288 with 2 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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}
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],
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"source": [
|
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"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, step_down, 'b-')\n",
|
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"ax2.plot(time, step_down_response, 'g-')\n",
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|
"\n",
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"ax1.set_xlabel('time')\n",
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"ax1.set_ylabel('Tokens Staked', color='b')\n",
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"ax2.set_ylabel('Conviction Accumulated', color='g')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(0.0, 10.402081225426919)"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"fig, ax1 = plt.subplots()\n",
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"\n",
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"ax2 = ax1.twinx()\n",
|
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"ax1.plot(time, noisy, 'b-')\n",
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"\n",
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"\n",
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"ylim= ax1.get_ylim()\n",
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"source": [
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"The above plot shows the signal processing power of the conviction voting algorithm. It effectively computes a time average scaled by a factor $\\frac{1}{1-\\alpha}$. In fact, one variant of conviction voting would include this normalization, creating an exponentially smoothed weighted average. However, in the basic version we choose to define it as a leaky integrator because we wanted to make explicit the value of ones votes accumulates over time to more than what one would attain in a standard voting method: $x< \\frac{x}{1-\\alpha}$ whenenver $\\alpha\\in (0,1)$."
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"## Multidimensional Example\n",
|
|
"\n",
|
|
"Now in order to proced with this example we need to make it a little less simple by considering a case where there are $n$ participants and $m$ proposals. In this case the signals are distributed across the agents. That is to say each agent $i$ will get to chose there stake for each proposal $j$ based on their private preferences. They can make that decision however they want as long as the action they take is valid.\n",
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|
"\n",
|
|
"Suppose participant $i$ has $h_t[i]$ tokens at time $t$, then they may choose to stake them accross the available proposals $\\vec x_t[i] = \\big[x_t[i,0], \\ldots, x_t[i,m] \\big]$ where $x_t[i,j]$ is the number of tokens staked by participant $i$ in support of proposal $j$. The staking action is valid as long as $\\sum_{j =0}^{m-1} x_t[i,j] \\le h_t[i]$.\n",
|
|
"\n",
|
|
"The information used to decide on $\\vec x_t[i]$ is private to agent $i$. Furthermore, in cases where $h_t[i]$ is variable (due to transferability of tokens), the quantity $h_t[i]$ itself is a decision as a consequence of private information related to agent $i$. For the purpose of this discussion, we don't worry about how agent $i$ decides to hold $h[i]$ or chooses to support proposals according to $\\vec x_t [i]$ but we do assume that in doing so she is expressing some of her private information, both magnitude $h_t[i]$ and direction $\\vec x_t[i]$.\n",
|
|
"\n",
|
|
"Given the choices for all participants we have a time varying matrix made up of terms $x_t[i,j]$:\n",
|
|
"\n",
|
|
"$X_t = \\left[\\begin{array}{c}\\vec x_t[0]\\\\ \\vdots \\\\ \\vec x_t[n-1] \\end{array}\\right] \\in \\mathbb{R}_+^{n \\times m}$\n",
|
|
"\n",
|
|
"satisfying the condition that $X_t \\vec{\\mathbf{1}} \\le \\vec h_t$ for all time $t$ where $\\vec{\\mathbf{1}}$ is the $m$ dimensional column vector of ones and $\\vec{h}_t$ is the $n$ dimensional column vector of holdings. \n",
|
|
"\n",
|
|
"The most interesting thing about building this matrix view of the system is how it unifies the local and global states of the system. Surely each agent will make their own choices about $x_t[i,j]$ and $h_t[t]$ and those choices will vary in time based on a wide range of factors that we cannot hope to totally understand, but we do know that even as it varies in time our actors are using the freedoms afforded to them by this policy to move the system towards outcomes they percieve as best relative to their private preferences and information. The key to our algorithm is to compile that spatially distributed time varying singal into a discrete decision. We do this by restating our conviction voting algorithm in its matrix form:\n",
|
|
"\n",
|
|
"$\\vec{y}_{t+1} = \\alpha \\vec{y}_t + X_t' \\vec{\\mathbb{1}}$ where $X_t'$ is the transpose of $X_t$ and $\\vec{\\mathbb{1}}$ is the $n$ dimensional column vector of ones. This expression is equivalent to\n",
|
|
"\n",
|
|
"$y_{t+1}[j] = \\alpha y_{t} + \\sum_{i} x_t[i,j]$ where $\\vec{y}_t = \\left[\\begin{array}{c}y_t[0]\\\\ \\vdots \\\\ \\vec y_t[m-1] \\end{array}\\right] \\in \\mathbb{R}_+^{m}$\n",
|
|
"\n",
|
|
"This mathematical structure is actually the same as the one we demonstrated in the one dimensional case so we will review some the same checks."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import pandas as pd\n",
|
|
"\n",
|
|
"n = 3\n",
|
|
"m = 2\n",
|
|
"\n",
|
|
"mimo_step_up = np.zeros(shape=(K,n,m))\n",
|
|
"mimo_step_down = np.zeros(shape=(K,n,m))\n",
|
|
"mimo_noisy = np.random.rand(K*m*n).reshape((K,n,m))\n",
|
|
"\n",
|
|
"for k in range(K): \n",
|
|
" for i in range(n):\n",
|
|
" for j in range(m):\n",
|
|
" if k>2*K/(i+3):\n",
|
|
" mimo_step_up[k,i,j]= (1+i)*(1+j)\n",
|
|
" mimo_step_down[K-k,i,j]= (1+i)*(1+j)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"\n",
|
|
"mimo_step_up_response = np.empty(shape=(K,m))\n",
|
|
"mimo_step_up_response[0,:]=0\n",
|
|
"\n",
|
|
"mimo_step_down_response = np.empty(shape=(K,m))\n",
|
|
"mimo_step_down_response[0,:]= 1/(1-alpha)*np.sum(mimo_step_down[0,:,:])\n",
|
|
"\n",
|
|
"mimo_noisy_response = np.empty(shape=(K,m))\n",
|
|
"mimo_noisy_response[0,:]=0\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"\n",
|
|
"for k in range(K-1):\n",
|
|
" mimo_step_up_response[k+1,:] = alpha*mimo_step_up_response[k,:] + np.sum(mimo_step_up[k,:,:], 0)\n",
|
|
" mimo_step_down_response[k+1,:] = alpha*mimo_step_down_response[k,:] + np.sum(mimo_step_down[k,:,:],0)\n",
|
|
" mimo_noisy_response[k+1,:] = alpha*mimo_noisy_response[k,:] + np.sum(mimo_noisy[k,:,:],0)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Filling up the tank\n",
|
|
"\n",
|
|
"A set of tests where the participants start supporting a proposal but their support starts at different times\n",
|
|
"- granular input signals\n",
|
|
"- aggregate inputs with outputs\n",
|
|
"- granular inputs with outputs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5, 1.0, 'step_up tokens staked for proposal 1')"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
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]
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},
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"metadata": {
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],
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"source": [
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"pd.DataFrame(mimo_step_up[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
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"plt.xlabel('time')\n",
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"plt.title('step_up tokens staked for proposal 0')\n",
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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]
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},
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"execution_count": 10,
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"metadata": {},
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},
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"<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
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"<svg height=\"277.314375pt\" version=\"1.1\" viewBox=\"0 0 422.36875 277.314375\" width=\"422.36875pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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" <defs>\n",
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" <style type=\"text/css\">\n",
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" </style>\n",
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|
|
"ax2.plot(time, mimo_step_up_response, 'g-')\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked', color='b')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated', color='g')\n",
|
|
"\n",
|
|
"plt.title('Conviction and tokens staked for proposals 0 and 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5, 1.0, 'Support for Proposal 1')"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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4q91ZTB4+mYu7XsyAtgNI8sTtOAFxoSbXaVX9VkTeBNbgNPfdEq6eehDGDoqq+jNVzVDVZFVtr6ovqOqpqtpBVfu5X3GbmAC2b9/O4sVOR5XXX3+dYcOGlSWCli1bcvToUd5+++1K92/cuDG5uSferO3ZsyfZ2dksW7YMgNzc3Aq70c6aNYuCggL279/PggULGDRoEIcPH6Z169YkJyczf/58tm3bVu3vUVkcAKNHj2b69OkATJ8+nTFjxlR7PBO/igqKSEkKb3LKzM7k2pnX0uEvHbhn3j00SmnEU5c8xc47d7LoF4t44LwHOKv9WZaYIqCm12lVfUhVu6pqD1X9MJyxJcxfvyOh7WHXMYhtevXqxfTp07nxxhvp1q0bv/rVr2jYsCETJkzg9NNPp3PnzmVNcxUZN24cEyZM4KmnnjouiaWkpPDGG29w2223kZ+fT1paGnPnzj1h/8GDBzNq1Ci2b9/O7373O9q2bctVV13F5ZdfzsCBA+nXrx89e/as9vcYP348N910U4UdIu655x6uuOIKXnjhBTp27Mhbb70VxJkx8aq4sJhkb3jGSPxm9zfc/+n9vL/xfRqlNGJi/4ncMvgWeras/jlq6h+Jhz4J6enpWn6ywbVr19KrV68oReT01rvssstYvXp19RuHweTJk2nUqBGTJk2KSvnlRfvvYepO/coff/BHzik+hxE/rL7beLCyc7O565O7eG3VazRr0IzfDv0ttwy+hSapFd9LNQG2A1cCtRyLQUSOqWr19xJiUMLUnIwxdeMr8uEv8ZPiDU2znqrywtcvMOnjSRT6Crl32L3cNfQuTkqzD3Gb6llyqqXOnTtHrdYETs3JmFDyF/rp3rQ7LYpb1PlYO4/s5Np3r+XT7z5leOfhPHf5c5za/NQQRGnqC0tOxhjA+eDrz0/9Oeys23E+3/45Y98cS15xHs9e9iy/7P9LPBK3EyCYKLHkZIxxFAE+av0BXFXlH5n/4Pb/3E6XZl349LpP6d2qdygjNPWIvZ0xxgCwK2sXj694nO+OfVfjfVWVe+fdy80f3MzIriNZOmGpJSZTJ5acjDEApEoq3Rp1I91bs85dqsrdc+/m4S8e5sYBNzJ73GyaNajTVG3GJE6z3vxP4fDh0B2vaVM4/4LQHa8i8TBlxltvvcXkyZNZu3YtS5cuDcuo6CY2NG/YnNFtR0Nh8PuoKnd9chePL36cmwfezN9++DcbXsiERMIkp8OHoVkI36wdOhS6Y1UkXqbMOO2003jnnXe48cYbQ16uiS1apFAMkhx8cpm8YDKPL36c2wbfxpOXPGmJyYSMNevV0tatW+nZsyfXXXcdZ5xxBmPHjuXYMWeMxClTpjBo0CBOO+00Jk6cWDZB2/Dhw7nvvvs477zzePjhh5k9ezZ33XUX/fr1Y/PmzYwfP75spIhly5YxdOhQ+vbty+DBg8nNzWXBggVcdtllgNOV/JprruGCCy6gW7duPPfccwAcPXqUESNG0L9/f04//XRmzZpVFm+vXr2YMGECffr0YeTIkeTn5/P222+XTZnRr1+/E8bb69WrFz169IjIOTXRtWLVCqasnMIhf3DvzKavmM6Uz6Zwfb/rLTGZkLPkVAfr169n4sSJrFy5kiZNmvDMM88AcOutt7Js2TJWr15Nfn4+c+bMKdundMqM+++/n9GjR/Poo4+yYsUKunb9fkKx0ikznnzySb755hvmzp1b6ZQZ77//PosXL2bKlClkZ2fToEEDZs6cyfLly5k/fz6/+c1vypLjxo0bueWWW/j2229p1qwZM2bMYOzYsQwcOJBXX32VFStWVFiOqR+KjhWhPiUltfoP4S7duZQJ703gwlMu5NnLnrXEZELOklMdlJ8y4/PPPwdg/vz5nHXWWZx++ul8+umnfPvtt2X71HbKjKSkE1tgS6fMaNmyZdmUGarKfffdxxlnnMGFF15oU2aYoBUVFIEfklOqHltv37F9jH1zLO2atOONsW+EbSw+U78lzD2naKgPU2aY+qO4oBhRISm18suCqnLDrBvIycth0Q2LaJ7WPIIRmvrEak51UB+mzDD1R1G+MwtuVR0inl/+PO9teI+pI6YyoO2ACEZn6puEqTk1bRraHnZNm1a/TX2YMmPmzJncdttt7N27l1GjRtGvXz8++uij6k+OiTtFBUUkS3KlI0RsO7SN//3ofxnRZQR3DLkjssGZesemzKglmzLjeNH+e5i6m3HXDHbO2sntP7odyvWLUVUuf/1y5m+dz5qb19CpWafoBFnf2JQZxpj6rqjAadarqOY0Y+0M3t/4Po+PfNwSk4kIS061ZFNmmERTVFhEMic26xWUFDDp40n0bdOX28+6PTrBmXrHkpMxBoDuJ3VH0/SEblJ/WfwXth3exotjXiTJY5cMExn2TDPGAHB2u7PhJCCgs97evL386fM/MbrHaC7oEubBJo0JYF3JjTEA+PJ8J1wRHvniEY4VH2PqiKnRCcrUW5acjDEAPDH/Cd4/+H7Z8u6ju/n7sr/z89N/Tq9W1hPTRFbiNOs9gNPtMlQ6AlUPEl5n8TBlxl133cV7771HSkoKXbt25aWXXqJZKId/NzFjaOuhtM5vXbb86BePUuQr4oFzH4hiVKa+Spya03agcwi/QpnoKlA6ZcaaNWvK1k2ZMqXSxATOlBmhTkzgJKfs7OwKH7voootYvXo1K1eupHv37vz5z38OefkmBiic0+ocujXuBsDB/IM8+9WzjDttHN1adItycKY+CltyEpEXRWSPiKwOWNdcRD4RkY3u95PCVX641ZcpM0aOHFk26OyQIUPIysoK/8k1Eecv9HPo2CGKKALgH5n/IK84j7uG3hXlyEw41fQ6LSL3isgmEVkvIrX8aHBwwllzehm4pNy6e4B5qtoNmOcux636NmXGiy++yKWXXhqq02diyLFDx/jr8r/yzdFvKCwp5MklT3Jx14vpe3LfaIdmwutlgrxOi0hvYBzQx93nGRGpZLCrugvbPSdV/UxEOpdbPQYY7v48HVgA3B2uGMKt/JQZTz31FJMmTWL+/Pk88sgjHDt2jAMHDtCnTx8uv/xyoPZTZlSkdMqMtLS0sikzRo0axX333cdnn32Gx+MJ2ZQZDz30EElJSVx11VVB71NfqF9Z+tJSjh44WrZuQPcBNGvUjF37d7Fm2xqG9hlKWmoaW3dvZXP25mqPWX778/udj8fjYf2O9WTtrb72Grh9zsEczj3jXABWbVnFnkN7Tti+8FghKCR7k3l7zdvk5OVw59l31uAsmHhUw+v0GODfqloIfCcim4DBwOJwxBbpDhFtVHUXgKruEpHWlW0oIhOBieAMhBqL6suUGdOnT2fOnDnMmzfPJpWrQG52Lh8+/yGyRxB1zk/3tt1p1qAZe3L38MXeL+jfoT9pyWlkHcriiwNfVHvM8tuf1/k8PB4PW/ZtYdmRZdXuH7j96rzVnNvJSU7rctaxNm9thfukSiqtMlrxTOYzdGvejQtPqfz+p4kbSSKSGbA8TVWnVbNPZdfpdsCXAdtluevCImZ767kncBo4A79GOZwKlU6ZcfbZZ1c5ZcbYsWMr3D+YKTMGDRpEbm5uhc1ts2bN4t577yUvL48FCxYwdepU3nrrrZBOmfGf//yHhx9+mIULF9KwYcNqj1UflRSWQDH8T7v/oe+A45vB+rr/Sg1z/wWr/PaXuv+CVX77n57+0yq3/yb3GxbtWMQTI5/AI4nTX6oeK1HVgSE6VkXvTMN2bY50csoRkQw3G2cAJ7Yv1FZHYGvIjuYcrxr1YcqMW2+9lcLCQi666CLA6RTxj3/8o/qTU4/4inyg4E32QhBTrcSS/cf2k5mdSWZ2Jsuyl7E4azFpSWmM7zc+2qGZ6KnsOp0FdAjYrj1QcTffEAjrlBluW+YcVT3NXX4U2K+qU0XkHqC5qv62uuPYlBknsikzYkfO6hz+79r/48rmV9JrWGyfg4KSAuZ/N5+5W+Yy97u5rMxZWfZYjxY9GNh2INeccQ0XnxrWjlgmWBGYMiPY67SI9AFew7nP1Bans0Q3VfXVLrqqha3mJCKv49xUaykiWcDvganAmyLyC5zTXnUbgzFxoLTmFKvNYIUlhby/8X3eXvM2czbMIbcol1RvKsM6DuOhCx7i7PZn0z+jP00bxFm1z9RZTa7TqvqtiLwJrAFKgFvClZggvL31flbJQyPCVWYk2ZQZppSv2Hl9ej1h61VbK5sObGLaV9N4acVL7Du2jxZpLbiyz5X8uNePGd55OGnJlX9swNQPNb1Oq+pDwEPhi+h7MdshIhjB9moz4RUPsymHU+tmrbn+1OtpXVxp59OIWrF7BVMWTmHmupl4xcvoHqOZOGAiF55yoU15YeJG3D5TGzRowP79+2nRooUlqChSVfbv30+DBg2iHUrUpCal0qlhJ8irfttwWrdvHffNu4+Z62bSNLUpvzv3d9w08CbaNj5xzERjYl3cJqf27duTlZXF3r17ox1KvdegQQPat28f7TCi5vChw2zbt41uDbqRRuSbyvKL83novw/xyBePkJacxu/P+z2/HvJrmjWwAXpN/Irb5JScnEyXLl2iHYYx7MrZxTvb3+GmrjdFPDkt3LqQG2bfwJaDW7jmjGt4bORjtE6PjeZFY+oibpOTMbHilLancHvX22mSVvEwU+HgVz9TP5/K7+b/jq4ndeXTaz/l/C7nR6x8Y8LNkpMxdZTiSaF5cnNIjkx5+4/t59p3r+WDjR8w7rRxTLtsGo1TG0emcGMixJKTMXW0O2c3m/dsZmDHgaSSWv0OdZB1JIuL/nkRWw5u4ZkfPsNNA2+yDkEmIcXmpwaNiSNZu7L4JOcTiqQorOVsOrCJYS8OY+eRnXxyzSf8atCvLDGZhGU1J2PqyFfsjq3nDd+HcFfvWc1F/7yIYl8x86+bz4C2A8JWljGxwJKTMXXk9/md5JQUnuS05eAWLnzlQrweL59d/xm9W/UOSznGxBJLTsbUka/EB37weEPfSr7v2D5G/nMkxX6nxtSrVWwPLGtMqFhyMqaOypr1QlxzKvYVM/bNsWQdyWLB+AWWmEy9YsnJmDrylfgQBE9SaGtOd350Jwu3LeRfP/oXQ9oPCemxjYl11lvPmDryFfvw4q14ntBamrFmBn9b9jfuHHInV51xVegObEycsORkTB35Snx4xRuyV9P2w9v55Xu/ZHC7wfz5wj+H5qDGxBlLTsbUkd/nd5JTCGpOqsqE9yZQ7Cvm9Z+8Too3pe4HNSYO2T0nY+poeJ/hDMkYEpLk9OLXL/Lx5o/5+w//ziknnVL3AxoTpyw5GVNHDZMa0jCpYZ3bIfbm7WXSJ5M4r9N53DTwptAEZ0ycsmY9Y+po3fZ1LD+yvM41p/vm3cfRoqM8M+oZPGIvTVO/2SvAmDpa+d1KFh9eXKdXU2Z2Ji98/QJ3nHWHjQBhDNasZ0yd/WTgT/Bn+mtdc1JVfvvJb2nZsCUPnPdAaIMzJk5ZcjKmjrx469Rb7+PNHzN/63yeuuQpmqRGbsJCY2KZNesZU0dLNixhyZEltXo1qSr3zruXLs26cOPAG0MfnDFxympOxtTRmh1rkDzhLDmrxvt+sPEDvt79NS+OftE+02RMAKs5GVNHvhIfXk/Nm/VUlQf/+yCdmnbi6jOuDk9wxsQpqzkZU0e+Yjc51dCCrQv4MutL/m/U/5HsTQ5DZMbEr0qTk4j8uKodVfWd2hYqIv8L/BJQYBVwvaoW1PZ4xkRT2dh6NfSXL/9Cq4atGN9vfOiDMiYIFV2LgYbAG0BnYCtwhaoejHRsVTXrXe5+/QJ4AbjK/XoeqHUbhIi0A24HBqrqaYAXGFfb4xkTbf4Sf42T06YDm5izYQ43DbyJBkkNwhSZMZWr4lp8DzBPVbsB89zliKs0Oanq9ap6PU5G7a2qP1HVnwB9QlBuEpAmIkk4WTo7BMc0Jip8JT683polp6eXPE2SJ4lfDfxVmKIyJigVXYvHANPdx6cD/xONwILpENFZVXcFLOcA3WtboKruBB4DtgO7gMOq+nH57URkoohkikhmSUlJbYszJux8Je58TkHKK8rj5W9e5qd9fkpG44wwRmYMSaXXUfdrYukDVVyL25Re893vraMSeBDbLBCRjyLR34UAACAASURBVIDXcWpR44D5tS1QRE7CycxdgEPAWyJytar+K3A7VZ0GTANIT0/X2pZnTLj5Snx4PMF3fH1rzVscKTzCTQNscFcTdiWqOrCiByq7FkcyuKpU+4pS1VuBfwB9gX7ANFW9rQ5lXgh8p6p7VbUYeAcYWofjGRNVPl/Neus9v/x5urfozrCOw8IYlTHVquxanCMiGQDu9z3RCC7YruTLgVxVnSsiDUWksarm1rLM7cAQEWkI5AMjgMxaHsuYqJs0cBKsCG7btXvX8sWOL3jkwkcQCeG87sbUXGXX4jzgOmCq+31WNIKrNjmJyARgItAc6Aq0w6lJjahNgaq6RETexkl4JcDXuM13xsSjJH9S0G/zpn8zHa94ubbvteENyphqVHEtbgS8KSK/wElgP41GfKJa9e0cEVkBDAaWqOqZ7rpVqnp6BOIDnHtOeXl5kSrOmKCpX/nwRx/S/VB3Tj3/1Cq39aufLk92oU+rPnxw1QcRitDEte3AlcDFtdtdRI6panooQ4qUYO7iFqpqUemC2+XQOigYg/MZp1X7VpFTlFPttot2LGL74e1cdfpVEYjMmPgWTGPEQhG5D6cv/EXAzcB74Q3LmPjgxcvd/e+G76rf9tWVr9IwuSFjeo4Jf2DGxAARGYoz0kRZrlHVV4LZN5jkdA/OKBGrgBuBD1T1uZqHaUwC8uG0I1TTBlHiL+GtNW8xusdoGqU0ikRkxkSViPwTp5/CCpxXCjivlpAlp8mq+gDwnFugV0ReVVVrmzD1XkFeAbM3zmZAyQC60rXS7f677b/sz9/PT3tH5d6yMdEwEGd0oVrdBgrmnlNHEbkXQERScPrCb6xNYcYkmqKCItbsX8PhksNVbjdz3UwaJDXg4q61vLNtTPxZDZxc252DqTldD7zqJqjzgQ9V9S+1LdCYROIrdlorqvoQrqoyc91MLu56MekpcdlxypjaaAmsEZGlQGHpSlUdHczOVU2Z0T9g8UngWeALnA4S/VV1ee3iNSZx+Ip8oOCRyhshMrMzyTqSxYPnPxjByIyJusl12bmqmtPj5ZYPAr3d9QpcUJeCjUkEvmInOVU1Zcbs9bPxipfLe1wewciMiS5VXSgibYBB7qqlqhr0UEiVJidVPb+uwRmT6EprTlU163246UPO7nA2zdOaRzAyY6JLRK4AHgUWAAI8LSJ3qerbwewf1KArIjIKZx6nslnRVHVKjaM1JsFUd89p99HdfLXrKx664KFIhmVMLLgfGFRaWxKRVsBcIKjkVG1vPRH5B84AGrfhZL+fAp1qG60xiaS6Zr2PNn0EwKWnXhrJsIyJBZ5yzXj7Ca6HuLNzENsMVdVrgYOq+gfgbKBDzWI0JjGVJadKak4fbvqQkxudTL+T+0U4MmOi7j8i8pGIjBeR8cD7QNCDSgbTrJfvfj8mIm1xsl+XGodpTAISv5DmSSPJe+JLyef38fHmjxnTc4xNj2HqHVW9S0R+ApyD0+o2TVVnBrt/MMlpjog0w7mxtRynp97ztQnWmERzSrtTuLvX3RUOhbxi9woOFhxk5CkjIx+YMTFAVWcAM2qzbzDJ6RFVLQRmiMgcnE4RBbUpzJiE43O/KnglffrdpwCc38U6vpr6Q0Q+V9VhIpLL8W/bBFBVbRLMcYK557S49AdVLVTVw4HrjKnPtm7fypvb3iTXf+LE0J9u/ZReLXtxcqNaj+BiTNxR1WHu98aq2iTgq3GwiQmqSE4icrKIDMCZKuNMEenvfg0HGtb5NzAmARQUFLC3YC8qx7frFfuK+e+2/3JBF/usuqmf3FHJq11Xmaqa9S4GxgPtcUaFKL2jmwvcF3yIxiSunh170rNzz4BPADqWZS8jrzjPkpOpz/oELrgT1Q4IdueqRoiYDkwXkZ+4N7WMMeX5AD9Qrif5p999iiCc1+m8aERlTNS4g4SXTlB7pHQ1UARMC/Y4wdxzai8iTcTxvIgsFxHrfmQMsGrDKl7Y+gJFWnTc+s+3f06f1n1o0bBFlCIzJjpU9c+q2hh4tNz9phaqem+wxwkmOd2gqkeAkUBrnCk0ptYubGMSy+Ejh9mRvwPxfv85Jp/fx+KsxZzT4ZwoRmZM1C0VkaalCyLSTET+J9idg0lOpa+6HwIvqeo3AeuMqdfKRohI/r5db/We1RwpPGLJydR3v3d7dwOgqoeA3we7czDJ6SsR+RgnOX0kIo1xWtmNqfd8JT5E5bia0xc7vgBgWMdh0QrLmFhQUX4JarDxYDf8BdAP2KKqx0SkBU7TnjH1nt/nx4sX8RyfnDIaZdC5WefoBWZM9GWKyBPA33E+jHsb8FWwO1dbc1JVv6oud6tkqOp+VV1Z22iNSSS+Yp8zInlAQ/fn2z/nnI7n2Hh6pr67DaeH3hvAWzgjC90S7M5BD18eSu6NsbdFZJ2IrBWRs6MRhzF15Svx4cFT9krKzs1m++HtDG0/NLqBGROkiq7HItJcRD4RkY3u95NqelxVzVPVe1R1oKoOUNV7VTUv2P2jkpyAJ4H/qGpPoC+wNkpxGFMnvpLja07Ldi4D4Kz2Z0UxKmNqpKLr8T3APFXtBsxzl4MiIn91v78nIrPLfwV7nGrvOYlIVyBLVQvdoYvOAF4pbearKRFpApyLM/oEqlqEU/Uzpk52rdjFhoUbKnysV6detD6pNQdzD7Jy80r6du1Ls8bNyDmQw7rt66o9dvntB/UcRMMGDdmzbQ8e/b7mtHTnUrzijdv5m/KAvdEOwnwvFdoUQ1qYDl/Z9VhExgDD3c2m40y1fneQhy0douixusQWTIeIGcBAETkVeAGYDbyG03uvNk7Bef6/JCJ9cW6Q3VG+uiciE4GJACkpKbUsytQnC19cyLpP1lX4VqdFmxa0btSaQ/mHmJ89n85tO9MsrRk5uTnM3zO/2mOX3/60DqfRMKUhpx44laykrLLktCx7Gae1Po2GyfE5/OR2YOtu8Fl/3JggJaCH6jSBXpKIZAYsT1PVwFEaKrweA21UdReAqu4SkdbBFqiqpZ0emgMfuLNa1JioVjARTeAGIstVtb+I3AUUqOrTIvK1qp5ZqwJFBgJfAueo6hIReRI4oqq/q2yf9PR0zcsLuqnS1FP/+tW/yJ+bzy9H/rLCBmsRIfD5Xn65OpXu7wFpJihKi0daMLb3WKZdHvQoLTFlFbBrM6ScDZoa7WjMsXzo8QM4tW/t9heRY6qaXsXjFV6PgdtUtVnAdgdVtUb3nUTkJeAC4DPg38BHqloS7P7B1JyKReRnwHXA5e665JoEWU4WTjPhEnf5bWrQnmlMZfw+Px48SAup9G6qlPv8ePnl6lS1/+YDmzlYcJBBbQfV6JixxAd4fKBdQazBIupKDhPuOSAqux7niEiGW2vKAPbU9MCqer2IJAOXAj8HnhGRT1T1l8HsH0yHiOuBs4GHVPU7EekC/KumgQYEvBvYISI93FUjgDW1PZ4xpXqe3JM+DftEbfySpTuXAjCoXRwnJz94/NTgo5ImnlVxPZ6NUyHB/T6rlscvBj7EqTl9BYwJdt9qn4Kquga4PWD5O+o+tt5twKsikgJswT7Ua0JgcKfB0Dh65WdmZ9IgqQF9WvWpfuMY5fPjNFNGqx+viYaKrsce4E0R+QXOrcif1vSgInIJMA44H6dDxfPAFcHuH0xvvXOAyUAnd/vSqXZPqWmwpVR1BTCwtvsbU5GS4hIEcbp2R8HXu7+mb5u+JHvr0uodXSU+S0z1TRXX4xF1PPR4nBrTjbXpFBFM5f0F4H9xqmS+mhZgTKS8+N8XSd+XzlVcFfGyVZUVu1dwZZ8rI152KPmUE+amMqY2VHVcXfYPJjkdVtUP61KIMZEwuONgktdHp9ay/fB2DhUcitvPN5Uq8VvNyYSGiPwYeBh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" <use x=\"596.386719\" xlink:href=\"#DejaVuSans-80\"/>\n",
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" <use x=\"693.802734\" xlink:href=\"#DejaVuSans-111\"/>\n",
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" <use x=\"754.984375\" xlink:href=\"#DejaVuSans-112\"/>\n",
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" <use x=\"818.460938\" xlink:href=\"#DejaVuSans-111\"/>\n",
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" <use x=\"879.642578\" xlink:href=\"#DejaVuSans-115\"/>\n",
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" <use x=\"931.742188\" xlink:href=\"#DejaVuSans-97\"/>\n",
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" <use x=\"993.021484\" xlink:href=\"#DejaVuSans-108\"/>\n",
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" <use x=\"1020.804688\" xlink:href=\"#DejaVuSans-32\"/>\n",
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" <use x=\"1052.591797\" xlink:href=\"#DejaVuSans-49\"/>\n",
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" </g>\n",
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" </g>\n",
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" </g>\n",
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" </g>\n",
|
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" <defs>\n",
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" <clipPath id=\"pf3cffa02d9\">\n",
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" <rect height=\"217.44\" width=\"334.8\" x=\"40.603125\" y=\"22.318125\"/>\n",
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" </clipPath>\n",
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" </defs>\n",
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"</svg>\n"
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],
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"text/plain": [
|
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"<Figure size 432x288 with 2 Axes>"
|
|
]
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},
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|
"metadata": {
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"needs_background": "light"
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},
|
|
"output_type": "display_data"
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}
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],
|
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"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_step_up[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_step_up[:,:,0],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 0')\n",
|
|
"ax2.plot(time, mimo_step_up_response[:,0], 'k-')\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
|
|
"\n",
|
|
"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
|
"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 0')\n",
|
|
"\n",
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_step_up[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_step_up[:,:,1],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 1')\n",
|
|
"\n",
|
|
"ax2.plot(time, mimo_step_up_response[:,1], 'k-')\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
|
|
"\n",
|
|
"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
|
"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Emptying up the tank\n",
|
|
"\n",
|
|
"A set of tests where the participants start supporting a proposal but their support starts at different times\n",
|
|
"- granular input signals\n",
|
|
"- aggregate inputs with outputs\n",
|
|
"- granular inputs with outputs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5, 1.0, 'step_up tokens staked for proposal 1')"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
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IhZdffpnHH38cgDvuuINjjjmmXUx32WUX1q1bx913393p/kOGDGHt2rXbLD/wwANZtmwZc+fOBWDt2rVs3brtfPMzZsxg48aNrFq1itmzZzN27FjWrFnDbrvtRmNjI7NmzeJvf+s0a2+3dgCcfvrpTJs2DYBp06YxceLEbsvrjrBGKsuDrx3yRKNoWuPvIhhGUNmRLz0ZOzdq1CimTZvG+eefz3777cfnP/95Bg0axHnnncchhxxCU1NTe5ilGGeeeSbnnXce119//bv+EPTr14+f//znXHTRRWzYsIGBAwfym9/8Zpv9jzjiCE499VRefvllvva1r7HHHntw1llncdppp9Hc3MyYMWM48MADuz2Oc889l8997nNFO1kvu+wyPvnJT3LLLbcwYsQI7rrrrh60TNfU1Jyszc3NXvKEH48BVwP7AztX0ChRGouAJcBsYEC2pojyWLx4MaNGjcqs/paWFiZMmMDChQszqX/KlCkMHjyYSy65JJP6Cyl2LsxsvrsXHdMZTkBDnay1RY7ofKT3apsQohvCCdEkDyIS+NogD7QBW7I2RNQ7TU1NmXnvEHnw9Yo8eJEOicDLgxciM8ISeFE75InOiYZKCpEZ4Qm8PPjaIBH49VkbIkTfJTyBF7VBMjRSAi9EZqiTVaRDIvBK3xwcsx6FNWsqV97228OHj69cecWoh3TBd911F1OmTGHx4sU8+eSTFclmGZ7Ai9ogGSbZ/Rvaos5YswZ22KFy5a1eXbmyilEv6YJHjx7Nvffey/nnn1+x+sIL0ciDrw0UohEVoqWlhQMPPJBzzjmHQw89lEmTJrF+fXRhTZ06lbFjxzJ69GgmT57cns1x3LhxXH755Rx33HFce+21PPDAA1x66aWMGTOGl156iXPPPbf9jda5c+dy1FFHcdhhh3HEEUewdu1aZs+ezYQJE4BomOTZZ5/N8ccfz3777cfNN98MwLp16zjhhBM4/PDDOeSQQ5gxY0a7vaNGjeK8887j4IMPZvz48WzYsIG77767PV3wmDFjtslPM2rUKA444AAqSVgCLy++dpDAiwrSF9IFp0FYAg/y4GuFPNG5UAxeVAClCy4NxeBFOiQCXzxxnhC9oi+kC06DsDx4vclaO+SJri558KIC9IV0wWkgD16kQ47oj61i8MGx/faVHfmy/fbdb9MX0gXfd999XHTRRaxcuZJTTz2VMWPG8Mtf/rL7xumCcNIFPwh8H3g/MKiCRonScOBhYCzwg4xtEWWhdMFKF5w9GkVTWxjR86E8eCEyI5wQjag98ijZmCgbpQsunbA8eFAnay3RgN5kFSJDwhN4UTto4m0hMiUsgdcwydqiAYVohMiQsARe1BaNRDM66dwIkQnhdLIqBl975IFWYCuR2IswuBJ4uYLljQC6Tu5YNvWQLvjSSy/lwQcfpF+/fuy77778+Mc/Zocy03aG5cHLU6wtklmdNC9rWLwMNFXwU8k/FkVI0gU/99xz7cumTp3aqbhDlC640uIOkcAvW7as6LqTTjqJhQsX8uyzz7L//vvzrW99q+z6UhV4M2sxsz+a2QIzK/ENph4iD772SCbe3pK1IaKe6SvpgsePH9+e6OwDH/gAS5cuLbvtquHBf9jdx3T2plXFkPdeeyQCLw9elElfSxd86623csopp5TdborBi/RIBP5RYNeMbSmH3YBDsjaib9MxXfD111/PJZdcwqxZs/j2t7/N+vXreeONNzj44IM57bTTgNLTBRcjSRc8cODA9nTBp556KpdffjmPPfYYuVyuYumCr776ahoaGjjrrLN6vE9npC3wDvzKzBy40d1v6riBmU0GJgOMGDGivJrkxdcWg4nOyY28MwFIPdIP+BlQ/N4XVaCvpAueNm0aM2fO5JFHHumRXd2RtsAf7e7LzGw34Ndm9ry7P1a4QSz6N0GUbKzkmuTB1x67Ah+hvl92WgK8CKxBAp8hSbrgD37wg12mC540aVLR/XuSLnjs2LGsXbu2aOhkxowZfOUrX+Htt99m9uzZXHPNNdx1110VTRf88MMPc+211zJnzhwGDapMxsRUBd7dl8X/v2Zm9wFHAI91vVeplaVSqiiXAfGnXnmTqKdKHcXvMAJoqXB53dAX0gVfeOGFbNq0iZNOOgmIOlpvuOGG7hunC1JLF2xm2wE5d18bf/81MNXdH+5sn7LSBU8nCgUcR32HA0Rt8TLwNFGIprLzIdcNShdcv+mC0/Tgdwfui+NIDcBPuxL3spEHL9IgCfnJgxd1SGoC7+5/AQ5Lq/xtK0S5aETlSa4nDfXMDKULLp2w3mQVotIkd8i203T2KWpp5re+SinnICyBlwcvKo08eAYMGMCqVask8hni7qxatYoBA3o3YiGcF52ESIPEBerDMfjhw4ezdOlSVq5cmbUpfZoBAwYwfPjwXu0TjsDLuRBpkHjwfThE09jYyMiRI7M2Q5RAOCGatvh/hWhEJTEi56EPe/CifglL4CXuotIoRCPqmHAEXiEakQYaBy/qmHAEvq37TYToNRomKeqYcAReQyRFGiTXVD0nTBN9lnAEXh68SIMckcj34XHwon4JS+DlwYtKoxedRB0TjsCrk1WkgcUfdbKKOiQcgZcHL9JAIRpRx4Qj8OpkFWmQePASeFGHhCXwQlSa5A6RwIs6JByB1ygakQaKwYs6JhyBV4hGpIEEXtQx4Qi8PHiRBspFI+qYcAReHrxIA3nwoo4JR+DlwYs0MKK7RLloRB0SjsDLgxdpkUMevKhLwhJ4DZUUaSCBF3VKWAIvD16kgaEQjahLwhF4xeBFWuSRwIu6JByBlwcv0kKdrKJOCUfglWxMpIUEXtQpqQu8meXN7Gkzm5lqRepgFWkhgRd1SjU8+IuBxanXohi8SIsc0Jq1EUL0nlQF3syGA6cC/51mPYBi8CI95MGLOiVtD/77wJfpwr82s8lmNs/M5q1cubL0mhSiEWmRRx68qEtSE3gzmwC85u7zu9rO3W9y92Z3b951111Lr1CdrCItkhCNnAhRZ6TpwR8NnG5mLcDPgOPN7Cep1aYQjUiL5C5RP4+oM1ITeHf/irsPd/cm4EzgUXf/TFr1ybsSqWFE4q4wjagzwhoHL0QaJHeJBF7UGQ3VqMTdZwOz060EhWhEOhjR9SWBF3VGOB68QjQiLRLHQQIv6oxwBF4hGpEWORSDF3VJGAKfeO8K0Yg0SEI0ciJEnRGOwCtEI9Iih2Lwoi4JQ+CFSBN1soo6JQyBlwcv0kQCL+qUcAReiLRI7hIlHBN1RjgCr3HwIi2S62pzplYI0WvCEXgh0iK5S7ZkaoUQvSYcgZcHL9IiicFL4EWdEY7AC5EWisGLOiUcgZfIi7RQDF7UKT0WeDMbaGYHpGlMyehNVpEmyXWlEI2oM3ok8GZ2GrAAeDj+PcbMHkjTsF4hD16kiTpZRZ3SUw9+CnAEsBrA3RcATemYVALy4EWayIMXdUpPBX6ru69J1ZJykPcu0iTJRaNOVlFn9HTCj4Vm9mkgb2b7Af8C/D49s3qJQjQiTeTBizqlpx78RcDBwCbgp8BbwMVpGdVrJO4iTTQOXtQpPRX4T7n7Fe4+Nv5cAXwjTcN6hV50EmmSI7q2JPCizuhpiGaSmW109+kAZvZDYEB6ZvUSefAiTSz+bMraECF6R08F/u+BB8ysDTgFeMPdv5CeWb1EMXiRJslzrl50EnVGlwJvZjsV/Pxn4H7gd8BUM9vJ3d9I07geI3EXaZJ48BJ4UWd058HP553odvL/qfHHgX1Sta43SORFWigGL+qULgXe3UdWy5Cy0ItOIk2Ui0bUKT2NwWNmo4GDKOhcdffb0zCq1ziKw4v0UIhG1Ck9Engz+zowjkjgf0HU0fpboFOBN7MBwGNA/7ieu93962XaWxx58CJNFKIRdUpPx8FPAk4AXnX3fwQOIxLurtgEHO/uhwFjgJPN7AMlW9oV8t5FmihEI+qUnoZoNrh7m5ltNbOhwGt008Hq7g6si382xp90ZNihtQ1e7Scnq1Yw4D107wXUBYkHvwKYU+W6DwV2rHKdIhh6KvDzzGwH4GaikTXrgCe728nM8vH27wV+6O5PFNlmMjAZYMSIET00pwMOb2+Clk3w5rLSihCVZ90WOHjvrK2oAAYMAl4Arq5y3ccCX61ynSIYeiTw7n5B/PUGM3sYGOruz/Zgv1ZgTPzH4T4zG+3uCztscxNwE0Bzc3NpHr7Hyf4MBu8FvkdJpYgKsuRV2H1h99vVBQZ8iCgDUzVDgX8AFlexPhEcPe1kfcTdTwBw95aOy7rD3Veb2WzgZKDyt31BDN53A6ud0fl9lw3QGlKnd57qh0oGAK1VrlMERZedrGY2IH6bdRcz29HMdoo/TUCXfrKZ7Rp77pjZQOBE4PnKmN0BB48F3sKYZbbuyTVAqzq+yyOHBF6URXce/PnAF4nEfD7vvNG6FvhBN/sOA6bFcfgccKe7zyzP3E4oGCbpptGStYA1SJvKxlAjirLo7k3W64DrzOxK4Pvu/paZfQ04HHi8m32fBd5XMUu7rCzy4B158LVCrlHaVDY5oC1rI0Q90+Nx8LG4HwOcBNwG/FdqVvUWL/hfAl8bxB68S6BKx5DAi7LoqRwmztipwA3uPgPol45JJRB78AYS+Boh3wCtDeBy40tHHrwok57K4StmdiPwSeAXZta/F/umT2FnXu1Y1acxg60N4JqounQUgxdl0lM5/CTwS+Bkd18N7ARcmppVvaVgFI1L4GsCs9iDl8CXjgRelElPX3RaD9xb8Hs5sDwto3pNwTh4dbLWBrlcJPBtEvjSyQFqP1EGYchh4YtOGiNZEyQhmjYlByodefCiTIIReI/nm7J81sYIiATe89AmgSoddbKKMglD4KHdi5cHXxvkcpHAb5VAlY7eZBVlEobAF3SyIg++JjCDtjxsVQy5dJL3xpXyQZRIMAIP8t5ricSDb5UHWjrJ9SyBFyUSjMC7g7li8LVC4sG3KkRTOonAqw1FiQQj8PLia4t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"source": [
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {},
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"outputs": [
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{
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"data": {
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]
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},
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"metadata": {},
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"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, np.sum(mimo_step_down, 1), 'b--')\n",
|
|
"ax2.plot(time, mimo_step_down_response, 'g-')\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked', color='b')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated', color='g')\n",
|
|
"\n",
|
|
"plt.title('Conviction and tokens staked for proposals 0 and 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5, 1.0, 'Support for Proposal 1')"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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iebzf45bmBwGqynfJ3zFn8xwW7lpITlEOTSKaMKHLBMZ2HMuoDqNoG1t/L/RRYVE0tjemOKuYBx98kDlz5jBz5kz++c9/Bto0QwOk4opfRCgoKODuu+9m48aNtG3blhkzZpxxD1B0dLVeLsD6O3PHm1DZ/O+++y5paWls2rSJ0NBQ2rdvXzZ/eHh4WVu73U5+fs1JwxMSEjh27FiZWy8+Pr7GPu5Sm+u0qu4Ukf8Au4AS4B5fReqBD+9zUtXrVTVRVUNVtY2qvqWqnVW1rar2dj58KkyWIdYvTEMPXS4qLWL2ptn0eK0HQ+YOYeGuhVybdC2f3fgZJx44wfyr53Nr71vrtTABXJRwEX+M/yORpZGcd955TJkyhTfffJPk5CD59mDwK4cPH+a776xgsQULFjB06NAyIYiLiyMnJ4eFCxdW2b9x48acPn12JG23bt1ISUlhw4YNAJw+fbrSWyo+/PBDCgoKyMjIYPXq1fTv35+srCzi4+MJDQ1l1apVHDp0qMb3UZUdAFdeeSXz5s0DYN68eUyaNKnG8dylttdpVX1GVTupaldV/dRrhlRC0Kcvys/PZ8XPK+hV3It2tAu0ObWmoKSAuVvmMnPtTI5kH6FvYl/mTJzDdd2vo1FYo0CbV3vszmfnF9lHH32Uf/3rXzz11FO88cYbATPLUHfa4d0IO3f+Wi+44ALmzZvH9OnT6dKlC3fddRdRUVFMnTqVHj160L59+zLXXGVcd911TJ06lZdffvkMEQsLC+O9997jvvvuIz8/n8jISFasWHFW/wEDBjBhwgQOHz7MX//6V1q1asWNN97IxIkT6devH71796Zbt241vo8pU6bw29/+ttKAiIcffphrrrmGt956i3bt2vH++++78ck0fHwarect6hKtl3UkixeueoEro66k76i+XrbMt3yy7xPu+/Q+fjr5E4PbDuaxYY8xrtO4Bn1X/rHDx/hy5ZeMe3ocLW5uAcB9993Ha6+9xvbt28+KNjLUXyqLDvMnBw8e5IorrmDHjh01N/YBM2bMoFGjRjzwwAMBmb8inkbr1VeCPreeOizxbUhuvcNZh7nqvauY8H8TCLOH8flNn7P2trVc2vnSBi1MAA5xkOPIoST3FxfJY489RnR0NA895PNkIQaDoYEQ9G49F0LDuKgv3r2Y2z68jWJHMTNHz+T+QfcTZvf8JuT6RuvY1kxvPh3KvaUWLVrw6KOP8vDDD/Ppp58yfvz4wBloaDC0b98+YKsmsFZOBt9xbqyctP4nqCwqLeIPn/2Bq/9zNV2ad2H7Xdt5aOhDQSVMgLXnZAMq7P3ef//9dOvWjXvvvdetCCaDwRDcnBviRP1eOWXmZzJy3khe+v4lfn/x71l721o6Nu0YaLN8Qk5pDm+kv8Gun3edcT4sLIx//vOf/PTTTzz11FMBss5gMNQXzh1xqqcrp5TTKQx/ezgbUzby3uT3ePGyFwkPCa+5YwPFFmLjWMkxTmedHTY7atQobrvtNmbNmsX3338fAOsMBkN9wYhTANmfuZ+hc4dy8NRBPrnhE65JuibQJvmcsLAwECjKrTyp7AsvvEDr1q255ZZbyMmpPtmuwWAIXoI+IKJsz6meufUOnjrI8LeHU1hSyJe3fEn/1lXfixFM2G12RISivMrFKTY2lnnz5jF69Gjuvvtu5s2bVy+/WBjOZtWXkJXlvfFiY2HkKO+NVxkNoWTG+++/z4wZM9i9ezfr16/3SVb0+si5IU5AfdKm1NxUxv7vWPKK81gzZQ09Es6drNxiE8JCwiguqLqA4siRI3n88ceZMWMGQ4cOZdq0aX600OApWVnQxIu1rU+d8t5YldFQSmZ0796dDz74gOnTp3t93vpM0Lv14uPiebzv41zY+MJAmwJYGR+ueu8qjmYf5ZMbPjmnhMlFmD2MooLqa0X95S9/4dJLL+Wee+5h9erV/jHM0KA4ePAg3bp149Zbb6Vnz55MnjyZvDwrT+mTTz5J//796d69O9OmTSsr1jlixAgeffRRhg8fzqxZs/joo4/405/+RO/evTlw4ABTpkwpyxSxYcMGBg8eTK9evRgwYACnT59m9erVXHHFFYAVSn7zzTczatQounTpwpw5cwDIyclh9OjR9O3blx49evDhhx+W2XvBBRcwdepUkpKSGDduHPn5+SxcuJCNGzdy44030rt377OiVS+44AK6du3ql8+0PhH04uRy6dUH15Cq8tulv+XbI9/yzlXvMKjtoECbFBBCQ0JrFCe73c6///1vOnfuzK9//Wt27dpVbXvDucnevXuZNm0a27ZtIyYmhldffRWAe++9lw0bNrBjxw7y8/NZunRpWR9XyYw///nPXHnllTz33HNs3bqVTp06lbVxlcx46aWX+OGHH1ixYkWVJTOWLVvGd999x5NPPklKSgoREREsXryYzZs3s2rVKv74xz+WieO+ffu455572LlzJ02aNGHRokVMnjyZfv368e6777J169ZK5zkXCXpxOnXqFB8f/pjj+ccDbQpvbXmLeT/M47FhjzH5Qp9XqK+3hIWEUVxUtVvPRZMmTVi6dCmhoaGMGzeuXpYXMASWiiUz1q5dC8CqVau4+OKL6dGjB19++SU7d+4s6+NpyYyQkLN3QVwlM+Li4spKZqgqjz76KD179mTMmDENrmRGfSHoxamgoIC9p/aSW+phJV0vsSN1B/d9eh9jOo7hseGPBdSWQBMWEkZRoXsl4Dt16sTy5cvJzc1l2LBh7Nmzx8fWGRoS1ZXMWLhwIdu3b2fq1KkBK5mxdetWEhISqiyZUVmmc4NF0ItTyxYteaDHA3Rq1Knmxj6iqLSImxffTEx4DPOvmo/dZq+5UxCTEJVAM2kGDvfa9+zZky+//JLCwkKGDh1aVsbAYDgXSmacqwS9OKHORwC3nJ5Z8wxbj2/ljSveIKFRQuAMqSdMaD2BiU0nQs2evTL69OnDN998Q0xMDCNHjuTzzz/3nYEGj4iNtSLsvPWIja15TlfJjJ49e5KZmcldd91FkyZNykpm/OpXv6qxZMZzzz1Hnz59OHDgQNn58iUzevXqxdixY89YfblwlcwYOHDgGSUzNm7cWLaPVJuSGZUFRCxevJg2bdrw3XffMWHCBC699NKaP5ggIOhLZqT/kM4Xv/+CEVEjSByQ6GXLamZX2i56vd6La5OuZf7V8/0+f71kN1bhnxVA49p1PXbsGJdddhnbt2/nL3/5C4899lilewEG32NKZpiSGb4k6FdOeXl57D21l7ySPL/PrarcvexuGoc15oVLX/D7/PWVtZlrmZs6F9zbdjqDxMREvv32W6ZMmcJTTz3F6NGjTRVdgyEICXpxcq0MA1HP6d87/s1Xh77i2dHP0iK6hd/nr69EhUbRRJrUyq1XnujoaObOncs777zDpk2bSEpK4qWXXjKby+cY9aFkRn1ZNQUjwS9Ortx66l9xKigp4JGVj9CnZR/u7HunX+eu7/SN78vVsVeXlWr3lJtvvpmtW7cyaNAg/vCHP9C3b19zw67BECQEvTi58PdNuP9c/08OZR3iubHPnfPReWdhxwpQ8UJ0f+fOnfn0009ZtGgRp06dYuTIkQwfPpwVK1bQEPZTDQZD5QS9OAWi2GBWQRbPfP0Ml3W+jNEdR/tt3obCDyd/YNbxWeSkeyfruIhw9dVXs2fPHl566SUOHDjA2LFjGTBgAG+++abJbm4wNEDODXHCv+L0yvpXOFlwkmdGPeO3ORsUdsh35FN02oOIiGqIiorid7/7HQcOHOD1118nPz+fqVOnkpiYyB133MEnn3xCYWGhV+c0GAy+IehjcMtWTn4KiDhdeJr/XvffXHH+FfRN7OuXORsaYSFW6fmiLO+Kk4vw8HCmT5/OtGnTWLduHXPmzOH9999n7ty5NG7cmMsvv5wxY8YwatQoOnToUC/yLgYFjwGHvTheO6D6JOF1piGUzPjTn/7Exx9/TFhYGJ06deJf//oXTbyZ/r2eEvzipP4t0/76xtfJzM/kr8P+6pf5GiJhYZY4Fed6GK7nJiLCoEGDGDRoEK+99horV67kgw8+YNmyZbz33nuAlZutf//+XHTRRWWPuLg4n9oVtBwG2ntxvINeHKsSGkrJjLFjx/Lss88SEhLCQw89xLPPPsusWbO8bkN9w2duPRGZKyKpIrKj3LlmIvKFiOxzPjf11fwubNhoFNLIL0EJxaXFvPT9S4zqMIoBrQf4fL6GSmhIKIDX3XrVER4ezuWXX86bb75JSkoKu3bt4pVXXmHw4MFs27aNP//5z1x22WW0aNGCli1bcskll3DHHXcwc+ZMFi5cyLp16zh8+DBFRf6z2VA950rJjHHjxpXdaD5w4ECv3tdX2+u0iDwiIvtFZK+I+DRVhS9XTm8DrwDvlDv3MLBSVWeKyMPO44d8aAMd23bkgW4PuJ3HrS68v+t9jp4+yhtXvOH7yRowrpVTUXZgLvQiwgUXXMAFF1zAPffcA1jZ67ds2cKmTZvYvXs3+/bt45NPPuH48bOz2bdo0YJWrVqRmJhIixYtGDduHDfddJO/34YBK3v4W2+9xZAhQ7j99tt59dVXeeCBB7j33nt57DErwfLNN9/M0qVLmThxIvBLyQywSlhcccUVTJ58ZpUAV8mM9957j/79+5OdnV1lyYx169aRm5tLnz59mDBhAvHx8SxevJiYmBjS09MZOHAgV155Zdl8CxYsYM6cOVxzzTUsWrSIm266iVdeeYXnn3++xlXZ3Llz3cqqXgvexs3rtIhcCFwHJAGtgBUicr6qlnrTIBc+EydVXSMi7SucngSMcP48D1iNj8UJVzSxj716qsoL616ga/OujO8y3reTNXDCQsNA4IcNP5DyXAqX9LiEsNAwDqQc4NCJQ4zqY9Xm3n1oNykZKdWOJSJntM88ncmQ7lYJha37t5KRnVFt/4iwCIZ0H0ITmtB0f1OGRw7ngRusGyu/3/09qSdTSclMISMrg4zsDDJPZ5KenU5GdgY/7/yZ9TnrWbJkCddffz12u7llwN9ULJnx8ssv88ADD7Bq1Sr+/ve/k5eXR2ZmJklJSWXi5GnJjMpwlcyIjIwsK5kxYcIEHn30UdasWYPNZvNayYxnnnmGkJAQbrzxRrf71EQtr9OTgH+raiHws4jsBwYA33nNoHL4e88pQVWPAajqMRGJr6qhiEwDpsEv37Q9IflYMmsOrmF84nia4jsv4oaUDWxM2cg/L/8nNgn6IMg60ahRI2LDY/lx+4/8uOdHBp43kDB7GIczD/NN1jeM6mCJzf60/Ww5vaXasUTkjPYH8g8wpJ11sdp1fBf78/ZX2z8mJOaM9nmlefRvbV2Qfjj6A8cLf1k5xTr/daADAA67g/BLw3n034+ye/duunfv7sGnYagL1ZXM2LhxI23btmXGjBkBK5kRGhpK+/btqyyZUdGFVxXz5s1j6dKlrFy5srYBPCEisrHc8WxVnV1Dn6qu062BdeXaJTvP+YR6GxDh/ABng5X41dNxiouLOV18Gof41q83e9NsokKjuKmnce/URFhYGPffcj9UqBAw0vnPxUTnP3ep2PaGHjfUyq6K7af1mFZl2/ycfLat2gbNreN169YZcQoArpIZgwYNqrZkRkW3nQt3Smb079+f06dPV+rW+/DDD3nkkUfIzc1l9erVzJw5k/fff9+rJTM+++wzZs2axVdffUVUVFSNY1WgRFW9FcFRmSr67E53f4vTCRFJdKpxIpDq6wk7tO7A9E7TrawEPiK7MJsFOxZwfffriQmvfPlvqIANcKMkQn0lMjySi5tcjCYozZo1Y926ddx55zmepqod3o2wa1dzE1fJjOnTp9OlSxfuuusuoqKiykpmtG/fvsaSGVOnTuXll18+o+5T+ZIZ+fn5REZGsmLFirP6u0pmHD58+IySGRMnTqRfv3707t27ViUzIiMj+e67784QwnvvvZfCwkLGjh0LWEERr7/+es0fjudUdZ1OBtqWa9cGqN7vXgd8WjLD6ctcqqrdncfPARnlNtqaqeqDNY1Tl5IZ7MS6VyIU6OzZEDXx+sbXuWvZXXx/5/cmSu8cwVHoIP2TdBpNaMTkrZM5cuQI27dvD7RZfsWUzAiOkhnuXqdFJAn4P6x9pk4K+eMAACAASURBVFbASqCLrwIifBlKvgBro6yriCSLyB3ATGCsiOwDxjqPfcqBwweYfWA2JwtP+myOeT/Mo0d8D/q3qvobmiG4KCgt4NW0V9l+dDsDBw5k586dZGdnB9osg6FW1OY6rao7gf8Au4DPgHt8JUzg22i966t4ya/J5vLy8kjJS6FUfPMZ7s/cz7rkdfx9zN9NpoFziPCQcH7T/De0bNSSrIFZqCobNmxg9GiTS9Ff1IeSGQ2d2l6nVfUZwC952YI+rKwsQ4SPhOPdbe8iCNf3qOr/2BCM2EPsJEUm0Ty0ORdffDEiwtq1awNtlt8xmd/rB8H4/xD84uTDxK+qyvzt8xnRfgRtYtp4fXxDPUbgp8KfyDidQWxsLL169eLrr78OtFV+JSIigoyMjKC8MDYkVJWMjAwiIiICbYpXqbeh5N5C1XclMzYf28z+zP08NMS39xEb6iEC8zPnM/T4UEYximHDhjFnzhyKiorqdF9eQ6JNmzYkJyeTlpYWaFPOeSIiImjTJri+IJ8b4oRvxGnR7kXYxc5V3a7y+tiG+o9NbJSWWHuZw4YN4+WXX2bz5s0MHDgwwJb5h9DQUDp06BBoMwxBStC79VB8snJSVRbtXsSI9iNoHtXcq2MbGgZ2m53SYkucLrnkEgDWrFkTSJMMhqAh6MXJV3tOu9J28WPGj/z6gl97dVxDw8EudkpLLXGKj4+nW7duRpwMBi8R/OLkcut5udjgB7s/QBB+1e1XXh3X0HCw239ZOYHl2vv6668pKSkJoFUGQ3AQ9OIUGRZJYnii1+s5ffTjRwxsM5DExoleHdfQcLDb7GV7TgCjR48mOzubDRs2BNAqgyE4CHpxurDDhUw/bzpRobVOmFglJ3JOsDFlIxO6TPDamIaGR3m3HljiJCJ88cUXAbTKYAgOgl6cXAER3uSz/Z8BcHmXy707sKFBYbfZcZT+ku2+efPm9O3b14iTweAFgl6ctu/bzuxDsylwFNTc2E2W7VtGYqNEerfs7bUxDQ0Pu+3MlRPA2LFjWbduXZXlDwwGg3sEvTiFhYTRyN7IawUAi0uLWX5gOZd3udzk0jvHGRs/lqGNh555buxYSkpKWLVqVYCsMhiCg6AXp67tunJDqxus0uBe4Puj35NVmMX4zqYU+7lOx8YdaRvS9oxzQ4YMITo6ms8++yxAVhkMwUHQi5O395tW/rQSm9jKSoMbzl2OFR0jOS/5jN+x8PBwxo4dy9KlS03OOYOhDgS9OG3YtYF//PQPih3FXhlv5c8r6ZvYl6aRTb0ynqHhsjJ9JZ+d/AwcZ56fOHEiR44c4YcffgiMYQZDEBD04lRYVMjpYu9sTucW5bIueR2jO5iaPQYYlzCOiU0mQoVSYZdfbkVxLl26NABWGQzBQdCLU1n6Invdgxe+Pvw1xY5iI04GAOIj40kISzhLnFq2bMmAAQP4+OOPA2OYwRAEBL84udIXUXdxWvnTSsLsYQxpN6TOYxkaPofyD7Erd9dZ4gSWa2/9+vUkJyf73zCDIQgIfnFyOOs5eWHltPrQaga2GejVbBOGhsvmU5tZnrW8UnGaPHkyAIsWLfKzVQZDcBD84uSllVNOUQ5bjm1hWLth3jDLEATY7XYc6jgrIAKgW7du9OjRg/fff9//hhkMQUDwi5OX9py+T/6eUi1laLuhNTc2nBPYxU6plla6cgL4zW9+wzfffMPRo0f9a5jBEAQEvTiBd/abvj78NTaxMajtIC9YZAgG7PaaxQlg4cKFfrTKYAgOgl6cVNUr4rT28Fp6JvQkJjzGC1YZggG7zU6po2px6tatG3369GH+/Pn+NcxgCAKCXpyaN25Ol6gu1EWfikuLWZe8jqFtjUvP8As2sVFK1eIEcMstt7Bx40Z27drlP8MMhiAg6MWpV8deXN/y+jqN8cOJH8gtzjX7TYYzcAVEaHHVaYpuuOEG7HY78+bN86NlBkPDJ+jFqayeUx1WTt8nfw9g9psMZ+CqrlxaUPXSKT4+nvHjxzN//nxTvt1gqAVVipOIXF3doy6Tisj9IrJTRHaIyAIRiajLeNWxeutqXj7ycp3GWJ+ynoToBNrGtK25seGcwW6zg0JpYTV+PeD2228nJSWFTz75xE+WGQzuUdm1WESaicgXIrLP+RyQRKLVrZwmOh93AG8BNzofbwI3eTqhiLQGfgf0U9XugB24ztPxaqJFTAs6R3au08pp/dH1DGg9wNRvMpxB92bdubP5nYRqaLXtJk6cSKtWrXjttdf8ZJnBUDPVXIsfBlaqahdgpfPY71QpTqp6m6rehuUUu1BVf62qvwaSvDBvCBApIiFAFJDihTErJem8JC6P87ycelZBFnvS93Bx64u9aJUhGIgJj6FNWBtspdV7x0NCQpg6dSqff/45P/30k5+sMxjcorJr8STAtUk6D/hVIAxzZ8+pvaoeK3d8Ajjf0wlV9SjwPHAYOAZkqeryiu1EZJqIbBSRjXXy1bv2qj1c9GxM2QjAgNYDPLfBEJRkFmWyJW8LhTmFNbadOnUqNpvNrJ4M/ibEdR11Pqa5XqjmWpzguuY7n+MDYbg74rRaRD4XkSkiciuwDPC4BrXTfzkJ6AC0AqJF5Cw3oarOVtV+qtovJCTE0+n4ZP0nzDo4y+P+3x+1giH6tern8RiG4ORI3hE+zPqQ3NO5NbZt3bo1kydPZvbs2WRnZ/vBOoMBgBLXddT5mO16wd1rcaCoUZxU9V7gdaAX0BuYrar31WHOMcDPqpqmqsXAB8DgOoxXLapq7RV5uHJaf3Q95zc/3xQXNJzFBc0u4P74+4kNj3Wr/Z/+9Ceys7OZM2eOjy0zGNyiqmvxCRFJBHA+pwbCOHdDyTcDy1T1fuBzEWlchzkPAwNFJEqsCIPRwO46jFct6lBEPQ9k2Hxss1k1GSolLCSMWFssdofdrfYXXXQRI0eO5MUXX6SoqMjH1hkMNVLVtfgj4FZnm1uBDwNhXI3iJCJTgYXAG85TrYElnk6oqt87x9sMbHfaMLvaTnWgLiunjLwMjmQfoU/LPt43zNDgySzKZE3OGrKz3HfTPfTQQyQnJ/P222/7zjCDwQ2quRbPBMaKyD5grPPY77izcroHGAJkA6jqPuq4Qaaqj6tqN1Xtrqo3q2rNO8qezlWHldOW41sAjDgZKuVk0Um+zPmSrKwst/uMGzeOQYMG8fTTT1NY6LNfe4PBLSq7FqtqhqqOVtUuzufMQNjmjjgVqmqZD8IZclh1vpZ6RlniVw/0acsxS5x6t+ztZasMwYBNrD+f0qLqb8Itj4jwxBNPcOTIEd58801fmWYwNHjcEaevRORRrFj4scD7wMe+Nct7lLn1PGDria20jWlL86jmXrbKEAzY7c70RTVkiKjImDFjGDZsGE888YSJ3DMENSIyWERuEJFbXA93+7ojTg8DaVg+yenAJ6r6Zw9t9TvqqNvKqU+icekZKsdTcRIR/vGPf5CWlsazzz7rC9MMhoAjIv+LdR/VUKC/8+F2dJk7NxDNUNXHgDnOCe0i8q6q3uiBvX7H03pOecV57M3YyzVJ1/jAKkMw4Kk4AfTr14+bb76ZF154gTvvvJNOnTp52zyDIdD0w8ou5NE2kDsrp3Yi8giAiIRhxcLv82SyQNA+vj3do7vXeuW07cQ2HOowwRCGKrHb7CDgKHR41P/ZZ58lLCyMu+++Gw//fg2G+swOoKWnnd0Rp9uAHk6BWgqsVtUZnk7ob/p26MvopqNr3W/7ie0A9Ezo6W2TDEGCzeYMiCiu/coJrKwRzzzzDMuXL2fBggXeNM1gqA/EAbucGYY+cj3c7VylW09E+pY7fAnrPqdvsAIk+qrqZo9N9iOehpLvSN1Bo7BGnNfkPB9YZQgG6uLWc3H33Xczf/587rvvPkaOHEliYqK3zDMYAs2MunSubs/pHxWOTwIXOs8rMKouE/uL9799n7Sjadwj99Sq3460HSS1SCoLFzYYKuJy69UmlPysMZxVcvv06cMdd9zBsmXLTGkWQ1Cgql+JSAJWIATAelV1OxVSdSUzRlbzaBDCBJDUJon+jfvX3LACO1J30D2+uw8sMgQL0RHR/CHhD/RsVjfXb7du3Xjuuef49NNPeeGFF7xkncEQWETkGmA98BvgGuB7EZnsbn+30n2LyASsOk5lFWtV9cnamRoYktokQWNqFRCRmptKam6qESdDtdhsNpqENAHP4iHO4J577mHVqlU8+OCD9O/fn0suuaTugxoMgeXPQH/XaklEWgArsFIm1Yg7ufVeB64F7sO6xP8GaDAbMfmF+eSV5tWqz87UnQBGnAzV4hAHa3LWcCjjUJ3HEhHmzp1Lx44dmTx5Mj///LMXLDQYAoqtghsvA/eTjbvVcLCq3gKcVNUngEFA29rZGDiWbFjC/57431qtnHak7gCMOBlqQODL7C85mHnQK8PFxsby8ccfU1xczIQJE8jMDEhKM4PBW3xWrhbgFKxagJ+429kdccp3PueJSCugGKs4VYOgLENELdiRuoNmkc1IiE7wkVWGYMBms/HXNn9lWPwwr43ZtWtXPvjgAw4cOMDYsWONQBkaLKr6J6ws5z2x6gHOVtWH3O3vjjgtFZEmwHNYqdUPAv+uvamBwZPEr65IPRM1ZagJu92OlHj392TEiBEsXryYHTt2MGbMGCNQhgaLqi5S1f9S1ftVdXFt+rojTn9X1VOqughrr6kb8LQnhgaC2qYvUlV2p+0mqUWSD60yBAvLs5ezM22n18e9/PLLWbJkCbt27WLMmDGkpaV5fQ6DwReIyFrn82kRyS73OC0ibmc6dkecvnP94Kz1kVX+XH2ntiun9Lx0ThacpGtcV98aZggKtuZu5WD2QZ+MPX78eJYsWcLu3bvp378/W7Zs8ck8BoM3UdWhzufGqhpT7tFYVWPcHadKcRKRliJyEVapjD4i0tf5GAFE1fkd+Ina7jntSd8DQLe4br4yyRBE2G12HCVeiCWvgssuu4y1a9ficDgYMmSISXNkaDA4s5LXeK4qqrvP6VJgCtAGKyuE6wp/GnjUfRMDS21XTnsz9gLQtblZORlqxm6zU1rieYYId7jooovYuHEjkydP5oYbbmDVqlU899xzxMbG+nReg6GOnLE34ixUe5G7navLEDFPVUcCU1R1VLnsEFeq6gee2+tfarvntCd9DxEhEbSLbedDqwzBgs1mo7TUt+IEEB8fz4oVK3jwwQd56623SEpKYunSpT6f12CoLSLyiIicBnqW328CTgAfujuOO3tObUQkRizeFJHNIjLOU8P9jTpqV4pgT/oeujTrYuVNMxhqwB8rJxdhYWHMmjWLdevW0bRpUyZOnMiiRYv8MrfB4C6q+qyqNgaeq7Df1FxVH3F3HHfE6XZVzQbGAfFYJTRmema2/+ndtje9o3vXyq1n9psM7mK32f2ycipP//792bRpE40aNeLrr7/269wGQy1YLyJlvmcRaSIiv3K3szvi5LqsXw78S1V/wKOi54GhT5s+9G7c2622hSWF/HTyJyNOBrcJhDiBtYrq2LEjBw4c8PvcBoObPO6M7gZAVU8Bj7vb2R1x2iQiy7HE6XMRaYxXUl36h7zCPPId+TU3BA6cPIBDHSYYwuA2drsdhyMwfw6dOnUy4mSoz1SmL24lG6+qc0XuAB7Gyi6bB4RhufYaBO+ue5dFGe755V1h5OYeJ4O72MRm7TkFoMp6p06d+OmnnwImjgZDDWwUkf8WkU4i0lFEXgA2udu5RhVTVQdW2iLXcQZWdtkGwdBOQwnZ655Y78/cD0CXZl18aZIhiLj5vJuxnbBZvgQ/x9B06tSJwsJCUlJSaNOmjX8nNxhq5j7gr8B7WFtBywG3q766vcTyJs5cfW8C3bG+c96uqj7JOnFBwgUQ6V7bA5kHiIuKIzbC3D9icA+73aqGSykBESeAAwcOGHEyeExl12NgL5aotMfKp3qNqp6szbiqmovldfOIQNUgfwn4TFW7YWWr3e2ridKy0sgscS9x5v6T++ncrLOvTDEEIZtPbWb1qdWWOPmZ8uJkMNSByq7HDwMrVbULsJJaiIyIvOh8/lhEPqr4cHecGldOItIJSFbVQmfqop7AO87Ii1ojIjHAMKzsE6hqEVDkyVjusGjrIkKzmzCa62psuzfzAP3aDeWgr4wxABADNAu0EV4iuTCZtLw0Rnw1gg2HNpBXUH1hy5joGPp06QPAhj0biAqPIqmDdSP9N9u/oaS0pNr+cbFxVvuW0K5TO0JCQow4GTymquuxiEwCRjibzQNWA+6Wu3ClKHq+Lra549ZbBPQTkc7AW8BHwP9hRe95QkcgDfiXiPTC2iD7vXMJWIaITAOmgRU26ymlDiXHJuw8ClpNAHxxaSEpWYeJCu3MjhSPpzO4QWQJjEwEW2igLak7V3a5ErKBf8CG5A2kFqVW275tRFv6tHaK05ENxIXGkdTSEqe1P6+tMbL0wugLrfZREPJuCOedd54RJ0N1hIjIxnLHs1V1drnjSq/HQIKqHgNQ1WMiEu/uhKrqCnpoBnyiqoUeGe5GG4eqlojIVcCLqvo/IlKX9MghQF/gPlX9XkRewloy/rV8I+cHOBsgOjra41goLVUUIVpAL6663eHjB1GU8/p0Irqadoa6kVkApVuhNA9swbC1dx7QHCiCu7rd5V4f55eku7redcbxg10fdKv72i1r2blnJ9NPTzfh5IaaKFHVftW8XtX12BtcCbwoImuwagB+rqrVuwYqGFYTxSJyPXArMNF5ri7feZOx3ITfO48X4r0P4ywcqogIGgnSsep2KalWpF6b3p2rbWeoG5IJJaHgcPtXtAHQyHqqbcXliu3d7d+4SWMSjiWAw9p32rBhQ63mNRjKUdX1+ISIJDpXTYlA9S6BSlDV20QkFBgP3AC8KiJfqOqd7vR3JyDiNmAQ8Iyq/iwiHYD5tTW0nMHHgSMi4rqZaDSwy9PxapzP4V5W8pQU69tn69YmIMKX2GxQGgKOAAQQBAu9mvXiV01+BQ7o0qULJ0+eJD09PdBmGRog1VyPP8JakOB8djtha4Xxi4FPsVZOm4BJ7vZ15z6nXcDvyh3/TN1z690HvCsiYcBP+PCmXivxq6A16NPRo/uJimpMbGycr0wxACKgdih1L2mHoTIEK+DXAeeffz4AP/74I3Fx5nfX4BGVXY9twH9E5A7gMPCb2g4qIpcB1wEjsQIq3gSucbe/O9F6Q4AZWN71EJx/GqrqsfNLVbcC1flBvYbDWTJDa1gjpqQcoHWrzog0mLSBDRKXOPkpkXdQsjZ1LWuOr+GRkkfo2tX6wrt3714GDx4cYMsMDZFqrsej6zj0FKwV03RPgiLc2XN6C7gfa0nW4C4pqopNhJo0J+Xofjp27Okfo85hbDZw2KHUZNzxGAcOirQILVXad2hPaGgoe/fuDbRZBsMZqGrN9+9Ugzt7Tlmq+qmqpqpqhutRl0n9icutV907dTgcHD9xiMRWJhLC14hY4mRWTp5js1m/zI4iByEhIXTu3NmIk6HeISJXi8g+EclyFRwUkWx3+7uzclolIs8BHwBlSzNV3Vx1l/rDiPajOJHTuNp7nE6ePEFxcSEtE9r7za5zFZvNuedkVk4e43I9O4qtD7Fr165GnAz1kb8DE1XVowxA7oiT666f8j5JBUZ5MqG/6d6iJyGRkF7Nyun48YMAtGzZ3i82ncu4Vk6lAcjiHSzYxLlycorT+eefz7JlyygpKSEkJCDpMg2GyjjhqTCBe9F6Iz0dvD5wPPs4p0siwNak6jZGnPyGzQbYocSIk8fYxAZqufXAWjkVFxdz6NChsnx7BkM9YKOIvAcs4Uyv2wfudK5xz0lEEkTkLRH51Hl8oTO8sEGwYPt8Np38utp3evzEQQASEs7zj1HnMCKADYoDbUgDpmzPqeQXcQKMa89Q34gB8oBxWAkcJgJXuNvZHR/A28C/gD87j3/ESqX+Vm2sDBRXdrmKo3uiqw0lP378IE2bxhMREeU/w85RRLBWToE2pAFT0a1XXpwuv9zTlJcGg3dR1Trdv+pOtF6cqv4HZ2l2Z26kBhNr1bFJJ+LCW1YbEHH8+EESTDCEX7DZQG1GnOqCa+WkxZZvNC4ujubNm7N7t88qzxgMtUZE2ojIYhFJFZETIrJIRNwuPOaOOOWKSHOchahFZCCQ5aG9fmd/xn4yi1KrLQR34vhBs9/kJ8zKqe40jWhKj8gehMgvjo+kpCR27NgRQKsMhrP4F1YapFZAa+Bj5zm3cEec/ss5QScR+QZ4ByvdRYNgyd5F7M7aVGXqItc9Tkac/IMIiB0cJhGHx7SPac+vm/ya6LDosnNJSUns3LkTVRNpYqg3tFDVf6lqifPxNtDC3c7uiFMmMBwYDEwHkoBwTywNBKoKIkgV79Tc4+R/JMSEktcJl7CXc653796d7Oxsjh49GhCTDIZKSBeRm0TE7nzcBLidwMEdcVqEVXhqp6ruwMpQPtdDY/2OOixxqiogwoSR+x9biHHr1YW9p/bytxN/IzX9lyoGSUlWwcKdO3cGyiyDoSK3YyV6PQ4cAyZTiyTf7ojTb4ElItJSRC4HXsbzKrh+R52JX21GnOoNYvac6kSTiCZcFHEREfaIsnNGnAz1kKeAW1W1harGY4nVDHc7u3MT7gYR+R2wHCgAxqpqmofG+h2XW6+qaL0TJw4BEB/f1o9WndvYwpyhnwaPSIhO4NKYS89wrsfFxREfH2/EyVCf6KmqJ10HqpopIn3c7VylOInIxzgj9JxEYUXpvSUiqOqVnljrb1wrp6r2nFLTjtC4cVMiIxv517BzmRBru0QdVPn/YqgaBw6KHcWEFoViK+f8cAVFGAz1BJuINHUJlIg0w717a6GGhs/X1bL6gMO551SVAzMt9QgtWphVkz+x2aHUjrV8MuJUaw6ePsg7qe9wW+ptnMcvWU2SkpJ4++23rS9kpi6ZIfD8A/hWRBZiLXSuAZ5xt3OV4qSqX7l+FpEEoL/zcL2q1rqefKBQVcRW/cqpRQu37wszeAGbDUpDwVECdpOntNaU3YRbIeSxR48e5OTkcPDgQTp06BAI0wyGMlT1HRHZiJUkXICrnZXV3cKd3HrXAOuxyvReA3wvIpM9tNfvWPd9VL3nlJaWbPab/IwIlIaAmgR7HlGWvqjkzJ273r17A7B161a/22QwVIaq7lLVV1T1f2ojTOCeU+XPQH9VvVVVbwEGAH/1xNBA8OuO19GpcQ8quwu3sDCfrKx04o1bz6+IQEkIOBpMEqz6Rflig+Xp3r07NpvNiJMhKHDHqWKr4MbLoKHsFCh0ie1KcS7kVWJxWloyAC3Mysmv2GzWnpPDxJN7RFmxwQorp6ioKLp27WrEyRAUuCNOn4nI58AC5/G1wKe+M8l7qEP58eSPZBXFEWprftbrqalHAMzKyc+IgCMEHPmBtqRhUrZyKj47IL9379588803/jbJYPA6Na6AVPVPwBtAT6AXMFtVH/S1Yd7AUepg4U8LOJCzs9KAiNQ0S5xMQIR/cZVqLzFuPY+wiQ2kcnHq1asXhw8fJjMzMwCWGQzew52AiFmq+oGq/peq3q+qi0Vklj+Mqys2sXFr12mcH9On0j2ndJdbz4iTXykr1W7EySMqFhssjysoYtu2bX61yWDwNu7sHY2t5Nx4bxviCwQhMbIVUSGNkUpKZqSmHSE2No7w8Ej/G3cOY1ZOdcMdcTL7ToaGTnUZIu4C7gY6ikj5r2GNgQbh1C4tKWVr+lZyitoQLQlnLZ5SU4+Y/aYA4Fo5OUwOI4+IDI1kUKNBxIXFnfVaQkICiYmJbNq0KQCWGQzeo7qAiP/DCnx4Fni43PnTqtogHNolJSV8evhjOkaNo6s94azX09KO0LKluVnR34hYK6dKtkwMbhAVFsWlsZdCFRm3+vXrx4YNG/xrlMHgZap066lqlqoeVNXrVfVQuYdXhMlZ32OLiCz1xniVoQ51zVXpO01LSzb7TQHAZgOHDUqNOHmEohQ6CiktrtwvOmDAAPbu3UtWVoMpWG0IIBWvxSLSTES+EJF9zuemgbArkPcr/R7Y7csJ1KGu4vJnBUQUFuZz+vRJ4uJa+9IEQyWUlWo36d88Iq8kj2ePP8vm5M2Vvt6/v5VpzLj2DG5S8Vr8MLBSVbsAKznTc+Y3ApLZTETaABOwkgD+l6/mKVs5cfbKKSPjGABxzVv5anpDFdhsgA1+jIaDOYG2xnNsQJ8QaBJRY1OvEhYSxrjYcbSNqny/tF+/fgBs2LCBUaNG+dM0QwOjimvxJGCE8+d5wGrgIX/bFqi0my8CD2IFV1SKiEwDpgGEhYV5NIk6FKVyt15GRgoAzY04+R27HZrGQ/ghrCIsDZBSgcwQSD8JTbr6d+7QkFAGNx4MVQSZNm/enI4dO5p9JwNAiDP5qovZqjq73HFl1+IEVT0GoKrHRCTeD3aehd/FSUSuAFJVdZOIjKiqnfMDnA0QHR2tVbWrDpdbr7KVU7pTnOLijDj5GxGI6QR0CrQlnlNaDHmboPRkzW29jaJkFGcQlR9FFFGVthkwYIDJFGEAKFHVfpW94O61OFAEYs9pCHCliBwE/g2MEpH5vpjI5dajMrdeulk5GTxHBFQCU9G3lFJeSX2FTceq3lPq378/R44c4fjx4360zNDAqOpafEJEEgGczwEpkeR3cVLVR1S1jaq2B64DvlTVm3wzmfVkq6RMe3pGCqGh4TRuHJBAFEMDRwSwgSMAQR3V3YTrYtCgQQB8++23frHJ0PCo5lr8EXCrs9mtwIeBsK9hZBf3EHUo6ozWq5ghIiMjhbi4VqZiqMEjXL82Do8cznWc2xl66qgmFr9v375EREQY157BE2YCY0VkH1aGoJmBMCKgdUhVdTVWJIhPiI6K5pbO00jNj0UrRJNnpKcYl56hbtgC49YTm2Cz2cq5rc8mPDyc/v37s3btWj9aZmiolL8Wq2oGDnjRRAAAFn1JREFUMDqQ9kCQr5zsNjsJka2ICok+a+WUnmHEyeA5IliZwQM0v01s1a6cAIYMGcLmzZvJy8vzk1UGg/cIanEqLChka8ZGsgozqPgdMyMjxdzjZKgbwlm/V/7CXXEqKSkxIeWGBklQi1Nubi7Ljy4ltTD5jHeal3eavLzTNDdh5AYPEQEJkFvPml9qFKfBgwcDmH0nQ4MkqMWpSUwT7ur2RzpEX3jGOzXZIQxeIYDiZBMbjhrSujdr1oykpCS++uorP1llMHiPoBYnm9iIDmlMiC20gjiZe5wMdUds9dutBzBy5EjWrl1LUVGRH6wyGLxHUItTbk4u355YTWZh6hnv1GSHMHiDQLr1RjQdwYXRF9bYbtSoUeTl5bF+/Xo/WGUweI/gFqfcXL5JXc2porQzV07O7BDNmiUGyDJDUBDAlVP/2P50jOxYY7vhw4cjIqxatcoPVhkM3iOoxUmtO3CxIUi5d5qZeZzw8Eiio2MCZJkhGAjkyulk6UmyC7JrbNesWTP69OnDl19+6QerDAbvEfziZKUlP+P8yZMnaNo0wWSHMNSNAIrT/OPz+SL1C7fajho1im+//Zb8/HwfW2UweI/gFidX+qIqxMlgqAuBDIi4tMWlDIgZ4Fbb0aNHU1RUxNdff+1jqwwG7xH04gRgq5D1NfPkcZo1axkIkwxBhNgDJ07nNzqftuGVFxusyPDhw4mIiODTTz/1sVUGg/cIfnEyKyeDr5DAJH4FSClK4Xiee+UwIiMjGTFihBEnQ4Mi6MVJ1SqZ4aK0tJSsrHQjToY6I/bA7TktTVvKyvSVbrcfP348e/fu5eeff/ahVQaD9whucXJG60m5fORZWWk4HA7j1jPUGbGB2kADoFA2seGoxcTjx48HMKsnQ4MhqMUJ5Zcy7U4yT54AMCsnQ50RcYpTqf/nttncyxDhokuXLnTq1Illy5b50CqDwXsEtTi1im/FnR3+SMuo88rOncy0xKmZESdDHRGBUjsBiYooy61Xi7knTZrEihUryM6u+f4ogyHQBLU42W12GtkbEyq/1FTMPGltIpuVk6GuiIBKgNx6NhuK1kqcrrrqKoqKioxrz9AgCGpxOnnqJN+lr+Z0yalfzrlWTmbPyeAFAubWExsOHLWKyBg0aBDx8fEsXrzYd4YZDF4iqMXpVNYp1mWuJqf4F3HKPGmlLoqMbBRAywzBgAg4bAQkZM9mcwZE1GLlZLfbmTRpEsuWLaOgoMB3xhkMXiCoxalDmw78ruPjJJbfczKpiwxexBHoaL1azn311VeTk5PD559/7hvDDAYvEdTi5IrUKy9EJ0+eMC49g1cQAbU3LHEaPXo0cXFxLFiwwDeGGQxeIqjFKTU9lRWpH5NddLLsXGbmcRMMYfAKgXTrDWw+kLGxY2s9d2hoKNdccw0fffQRp0+f9o1xBoMXCGpxysrOYnv2JvJLc8vOmdRFBm/hEicNQCh5u+h2dIno4pEw3nDDDeTn57NkyRLvG2YweImgFidHqRVq63LrmdRFBm+jgCMAK6f0onQOFxz2SJwGDRrEeeedx/z58/+/vXMPjqrK8/jn148khEdIAmgIE4gIFkSrEBF3y50p1xnW5wzorsgqbIpdDLsOOj6oApUSS6ssRxzXpVyhEARc0RkdmCXUOGgQ9jHswpARUCQ8HUTWADEhz+4k/Tj7x70dQ0wHSbrvubmcT1XTt2/fvueX372c7/2dx++k3jCDIUV4W5zsrJwJcWpsrEUpRe7QETrNMniERJ8TGoaS76zdya/rft0rcfL5fJSWllJRUcHJkydTb5zBkAIcFycR+Z6I7BCRKhH5TER+lq6yukZO9fU1AOQMHZ6uIg2XEIlJuDoipxuH38jM3Jm97u+aO3cuAGvXrk2hVYb+RrL6WETyRKRCRI7a77lO26YjcooCjyulJgB/BvxURCamoyDVJXJqaLDEaWiOESdDivDpWTZjWNYwRmWO6rU4jRkzhmnTprFmzRpiMQ2hn8EtJKuPFwMfKaXGAR/Znx0lcOFDUotSqhqotrebRKQKKAQOprqsuL2e05l8oTEHPmm3xKlm1HA+zUl1aYbvyrA2KPDAHNBE4teYBnH6KvwV50LnKFElvT7HvHnzmDlzJlu3buWOO+5IoXWG/kIP9fF04Cb7sPXAfwCLnLTNcXHqjIiMAa4FdnfzXRlQBpCRkdGr88fjCgXsHS8cGABftlji9N8jh5OZ3TubDX1nYAAeCkGwn/d46syt92nDp3x87mNK4r0XpxkzZjBy5EiWL19uxMm7BESkstPnVUqpVd0d2KU+vswWLpRS1SLieEe9NnESkUHARuARpdS30iTbDlwFMHDgwF49mypbnJRPGBqFxjZLnK4Zl48/2GvTDX3giyCcq4ZwzEPipCMrue/ic+t1JRgM8uCDD7JkyRIOHjzIxIlpaV036CWqlJpyoYO61sduyKCjRZxEJIjliA1KqU3pKkfFlbWUNkIwA2ipISs3l8suN8qkiwag7muI6lpCNtX49AyIEJFeZYjoSllZGc899xzLly9n5cqVqTHO0K9IUh+fEZECO2oqAM46bZeO0XoCrAGqlFIvp7Oskiuu4Z9GLyVrUD7ih1BNDQOHm8EQOvFjrYEU0RBtpJqO0Xq61nNKgTgNHz6cOXPmsG7dOk6fPp0a4wz9hh7q43Kg1N4uBTY7bZuOhpUbgTnAzSKyz37dno6CrL4AQfkF8UNLTQ3Zw4aloyjDd8QP4IM2/a0GfaZjJVxd6zkphYr2XRkXLVpEJBLh5ZfT+qxocCfJ6uMXgGkichSYZn92FB2j9X4POFI1fXn6S7bX7qO9/WYkMJBQTQ25Y8c6UbQhCT6siavtHoicwI6cNJTrE+u5Mt4ex29Jfq+58sormTVrFq+99hqLFi0iPz8/FSYa+gEXqI9/6KQtXennXdI909jUyIn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"text/plain": [
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"<Figure size 432x288 with 2 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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}
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],
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"source": [
|
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"fig, ax1 = plt.subplots()\n",
|
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"ax2 = ax1.twinx()\n",
|
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"\n",
|
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"pd.DataFrame(mimo_step_down[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
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"ax1.plot(time, np.sum(mimo_step_down[:,:,0],1), 'k-.', alpha=.5)\n",
|
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"plt.xlabel('time')\n",
|
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"plt.ylabel('stake')\n",
|
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"plt.title('step_up tokens staked for proposal 0')\n",
|
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"ax2.plot(time, mimo_step_down_response[:,0], 'k-')\n",
|
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"ylim= ax1.get_ylim()\n",
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"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
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"\n",
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"plt.xlabel('time')\n",
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"ax1.set_ylabel('tokens staked')\n",
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"ax2.set_ylabel('conviction')\n",
|
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"plt.title('Support for Proposal 0')\n",
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"\n",
|
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"fig, ax1 = plt.subplots()\n",
|
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"ax2 = ax1.twinx()\n",
|
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"\n",
|
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"pd.DataFrame(mimo_step_down[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
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"ax1.plot(time, np.sum(mimo_step_down[:,:,1],1), 'k-.', alpha=.5)\n",
|
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"plt.xlabel('time')\n",
|
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"plt.ylabel('stake')\n",
|
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"plt.title('step_up tokens staked for proposal 1')\n",
|
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"\n",
|
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"ax2.plot(time, mimo_step_down_response[:,1], 'k-')\n",
|
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"ylim= ax1.get_ylim()\n",
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"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
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"\n",
|
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"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
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"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 1')\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
|
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"source": [
|
|
"## Noisy inputs: constantly filling and emptying at the same time\n",
|
|
"\n",
|
|
"A set of tests where the participants start supporting a proposal but their support starts at different times\n",
|
|
"- aggregate inputs with outputs\n",
|
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"- granular inputs with outputs"
|
|
]
|
|
},
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{
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"cell_type": "code",
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"execution_count": 15,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
|
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"(0.0, 28.777320787401013)"
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]
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},
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"execution_count": 15,
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"metadata": {},
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"output_type": "execute_result"
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},
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"data": {
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],
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"text/plain": [
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"<Figure size 432x288 with 2 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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}
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],
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"source": [
|
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"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
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"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, np.sum(mimo_noisy, 1), '.--', alpha=.3)\n",
|
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"ax2.plot(time, mimo_noisy_response)\n",
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|
"\n",
|
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"ax1.set_xlabel('time')\n",
|
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"ax1.set_ylabel('Tokens Staked')\n",
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|
"ax2.set_ylabel('Conviction Accumulated')\n",
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|
"\n",
|
|
"plt.title('Conviction and tokens staked for proposals 0 and 1')\n",
|
|
"\n",
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"\n",
|
|
"ylim= ax1.get_ylim()\n",
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"ax2.set_ylim(0, ylim[1]/(1-alpha))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"metadata": {},
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"outputs": [
|
|
{
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|
"data": {
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"text/plain": [
|
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"Text(0.5, 1.0, 'Support for Proposal 1')"
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]
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},
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"execution_count": 16,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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\n",
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"image/svg+xml": [
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"<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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],
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"text/plain": [
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"<Figure size 432x288 with 2 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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}
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],
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"source": [
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"fig, ax1 = plt.subplots()\n",
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"ax2 = ax1.twinx()\n",
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"\n",
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"pd.DataFrame(mimo_noisy[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
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"ax1.plot(time, np.sum(mimo_noisy[:,:,0],1), 'k-.', alpha=.5)\n",
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"plt.xlabel('time')\n",
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"plt.ylabel('stake')\n",
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"plt.title('step_up tokens staked for proposal 0')\n",
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"\n",
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"ax2.plot(time, mimo_noisy_response[:,0], 'k')\n",
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"ylim= ax1.get_ylim()\n",
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"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
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"\n",
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"plt.xlabel('time')\n",
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"ax1.set_ylabel('tokens staked')\n",
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"ax2.set_ylabel('conviction')\n",
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"plt.title('Support for Proposal 0')\n",
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"\n",
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"fig, ax1 = plt.subplots()\n",
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"ax2 = ax1.twinx()\n",
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"\n",
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"pd.DataFrame(mimo_noisy[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
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"ax1.plot(time, np.sum(mimo_noisy[:,:,1],1), 'k-.', alpha=.5)\n",
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"plt.xlabel('time')\n",
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"plt.ylabel('stake')\n",
|
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"plt.title('step_up tokens staked for proposal 1')\n",
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"\n",
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"ax2.plot(time, mimo_noisy_response[:,1], 'k')\n",
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"ylim= ax1.get_ylim()\n",
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"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
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"\n",
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"plt.xlabel('time')\n",
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"ax1.set_ylabel('tokens staked')\n",
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"ax2.set_ylabel('conviction')\n",
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"plt.title('Support for Proposal 1')"
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]
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},
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{
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"execution_count": null,
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}
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