903 lines
1.8 MiB
903 lines
1.8 MiB
{
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"cells": [
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{
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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 general 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 including 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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"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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"$T = \\log_\\alpha \\frac{1}{2} = -\\log_\\alpha 2$\n",
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"\n",
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"and conversely the $\\alpha$ which achieves a desired half-life $T$ is\n",
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"\n",
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"$\\alpha = 2^{-1/T} = \\frac{1}{\\sqrt[T]{2}}$\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": 70,
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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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"output_type": "stream",
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"name": "stdout",
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"text": "0.9057236642639067\n0.9958826236582974\n"
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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": 71,
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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": 86,
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"metadata": {},
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": "Text(0.5, 1.0, 'Comparing Tokens Staked to Conviction Accumulated')"
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},
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"metadata": {},
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"execution_count": 86
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},
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"output_type": "display_data",
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|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, step_up, 'b-')\n",
|
|
"ax2.plot(time, 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",
|
|
"plt.title('Comparing Single Token Staked to Conviction Accumulation Over Time')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 100,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Comparing Tokens Staked to Conviction Decay Over Time')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 100
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
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"text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, step_down, 'b-')\n",
|
|
"ax2.plot(time, 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",
|
|
"plt.title('Comparing Single Token Unstaked to Conviction Decay Over Time')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 113,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "(0.0, 10.496160372376345)"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 113
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
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"text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, noisy, 'b-')\n",
|
|
"ax2.plot(time, noisy_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",
|
|
"plt.title('Comparing Multiple Tokens Staked to Conviction Accumulation Over Time')\n",
|
|
"\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"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 $\\alpha\\in (0,1)$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## 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 choose their 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 and allowed by the system.\n",
|
|
"\n",
|
|
"Suppose participant $i$ has $h_t[i]$ tokens at time $t$, then they may choose to stake them across 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": 125,
|
|
"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",
|
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"mimo_noisy = np.random.rand(K*m*n).reshape((K,n,m))\n",
|
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"\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",
|
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" mimo_step_up[k,i,j]= (1+i)*(1+j)\n",
|
|
" mimo_step_down[K-k,i,j]= (1+i)*(1+j)"
|
|
]
|
|
},
|
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{
|
|
"cell_type": "code",
|
|
"execution_count": 126,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
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"\n",
|
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"mimo_step_up_response = np.empty(shape=(K,m))\n",
|
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"mimo_step_up_response[0,:]=0\n",
|
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"\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": 127,
|
|
"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": 136,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'step_up tokens staked for proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 136
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
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"text/plain": "<Figure size 432x288 with 1 Axes>",
|
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"pd.DataFrame(mimo_step_up[:,:,0], columns = ['participant 2', 'participant 1', 'participant 0']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 0')\n",
|
|
"pd.DataFrame(mimo_step_up[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 137,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 137
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
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FVIhW2sJKAfvpjUAzn8mOxPXuXC6C+qmJyLnAg8AZXpfexpgwcv317hrOM88Ed71ZmsW8zfP4etXXTFs7jZ83/Ex6VjoATROa0q1JN67qdBVt67elTf02tKrbirjouOAGWUUUsp+eBLwvIi8CTYDWwFw/iygT5ZacROQDoBdQX0Q2Aom4Wh+xwDfeIetsVb21vGIwxhTPnDnQoUNw1qWq/LzxZz5e8jETlk1g4/6NCELnxp25t+e9nNr8VLo16UbjhMbBCagKKs5+WlWXiMjHwFIgA7hdVTPLLbaKcGbNrjkZExzNm0OfPvDWW+W3jr2H9zJuwThe//V1lu5YSmxkLOe0OoeL211Mv9b9qB9Xv/xWXsUEcs0pXNnJWGPMX5KToUaN8ln2juQdPPfTc4z4ZQQp6Smc2ORE3jjvDS7pcAk1Y2uWz0pNhWXJyRjzl4MHyz457Tu8j6d/eJrhc4dzOOMwl3e8nPt63kfXJl3LdkWmUrHkZIwBIDMTunWDli3LZnmqyidLP+Ger+5h68GtXNHpCv55+j9pW79t2azAVGqWnIwxgGvh4ccfy2ZZmw9s5qZJNzFl1RQ6H9GZiZdP5MSmJ5bNwk2VYMnJGFOmZqydwRUTruBg2kFeOucl7uh+h91rZIrNuswwxgCwahV07OjazyuJLM3iqe+f4qxxZ1Gvej1+ufkX7ul5jyUmUyL2rTHGALBnDyxZAmlpxZ83IyuDGybewLiF4xjSaQijBo6iRkw5VfszVYIlJ2MM4GrqQfFr66VmpHLFhCv4bPlnPH7m4zxy2iNl0i6cqdosORljAHePExQvOaWkp3DBRxcwdfVUXjn3Fe7qcVf5BGeqHEtOxhgg58gpPsD2BNIz07n444uZtmYa/x30X27ofEP5BWeqHEtOxhgA6tWDs85ynfsVRVW5efLNTFk1hdEDR1tiMmXO2tYzxhTbcz8+x9+n/Z1Hz3iUxF6JoQ7HFKAit61nyckYUyxTV0/l3HfP5ZIOl/DhRR9a5YcwVpGTk93nZIwB4MknoV27wqfZcmALV316FR0aduDNQW9aYjLlxq45GWMA2LoVtm8vuDxLs7jm82s4mHaQmRfPJD6mQv4hNxWEJSdjDFB0i+Sj5o1i2pppjBo4ivYN2gcvMFMl2Wk9YwxQeHJat3cdf5/2d85qeRY3d7k5uIGZKsmSkzEGKDw53TnlTlSVMeeNsetMJijstJ4xBoCTT/bfrt7/Vv6PySsn82zfZzmq9lHBD8xUSVaV3BhToLTMNDqM7ECkRLLwbwuJiYwJdUimGCpyVXI7cjLGFGjUvFGs2r2KL4d8aYnJBJVdczLGAHDMMfB//5czfCD1AI/PepxeLXpxbqtzQxeYqZIsORljAHePk+9Z/lfmvMKOlB080+cZqwRhgs6SkzGGrCzXZUZ2bb2DaQd5afZLnHfsefQ4skdogzNVUrklJxF5U0S2i8hin3F1ReQbEfnDew6g/WNjTHk7dMgdNWUnp9fnvc7uQ7v5x+n/CG1gplwVdz8tIg+JyCoRWSEi55RnbOV55PQ2kPdE9TBguqq2BqZ7w8aYEPPtBfdwxmFe+PkF+rbsS/em3UMbmClvbxPgflpE2gOXAx28eUaKSGR5BVZutfVUdZaItMgzejDQy3v9DjATeLC8YjAm2CZPhunT849/4QWIjITx4+GHH3KXRUXB88+71++9B7/8krs8Pt41ygrw5puwcGHu8rp14V//cq9HjoSVK3OXN24MD3q/spdegnXrcpcffTRcdRUMHQqdOsGHiz9k68GtvHvBu4G9aVNhFXM/PRj4UFVTgbUisgroDvxcHrGV631O3pv+QlU7esN7VbW2T/keVfV7ak9EhgJDAWJiYrqmpqaWW5zGlMbhwzB3LrRt65LDyy/nn2bHDoiOhgcegDFjcpfFxsK2be713/4GH3yQu7xuXVizxr2+6ir44ovc5c2b5ySs88+HmTNzl3foAD/+6F737Qvz5uUu79EDvv7avVZVuozuQkZWBgtvXWgVISo4EUkDFvmMGq2qo/NM04IA9tMi8iowW1Xf9cb/F5iiquPLJfZwTU6+7CZcE85Wr4ZWrWDcOJc8KrJvVn/D2e+ezeiBo7m5q7WhV9EFchNuMZLTCODnPMnpS1WdUB6xB/sm3G0i0lhVt4hIY6CQBvqNqRiym/yJqWD3qO47vI9fNv/C7I2zmbNpDnM3zWV78nbqx9XnyuOuDHV4JnQK2k9vBJr5THcksLm8ggh2cpoEXAs84z1PDPL6jSlzFSU5pWWm8dOGn/hq1Vd8teorFm5biOLOnLSr347+rftzQqMTGHDsAOKi40IcrQmhgvbTk4D3ReRFoAnQGphbXkGUW3ISkQ9wF9Xqi8hGIBH3Zj8WkRuB9cAl5bV+Y4IlnJNTZlYmM/+cyQeLP2DCsgnsPbyXqIgoTm1+Kkm9kuh5ZE9ObHoitavVDnWoJgSKs59W1SUi8jGwFMgAblfVzPKKrTxr611RQFGf8lqnMaEQjslpR/IOxvw2hpG/jGTTgU3UiKnB+W3P56J2F9Hn6D4kxCaEOkQTBoq7n1bVJ4Enyy+iHNbwqzGl1LYtfP45HH98qCOB9fvW8/h3jzNu4ThSM1Pp27IvL57zIgOPHWin6kyFYl1mGFMJbE/ezlPfP8Vr815DEK474Tru6nGXdadexVmXGcZUYVu2wG+/wWmnQc2awV23qvLGb29w/zf3czDtINcdfx2JvRJpXqt5cAMxxiNJcmFh5ZqonwayHEtOxpTSTz/BxRe7G2E7dQreetfuWcvNk29m+trpnHHUGbw24DXaNWgXvACM8e8877khcDIwwxs+E9fahCUnY4IhFBUiPl/+OVd/djWC8NqA1xjadSgRYp0MmNDTRL0eQJLkC6C9JuoWb7gxMCLQ5VhyMqaUgpmcsjSLpJlJPDbrMbo37c4nl3xip/BMuGqRnZg824BjA53ZkpMxpRSs5JSSnsKQCUOYuGIi159wPSMHjKRaVLXyXakxJTdTkuRr4ANAcS2afxvozJacjCmlYCSnlPQUBn0wiBlrZ/DKua9wZ/c7rVFWE9Y0Ue+QJLkAON0bNVoT9bNA57eT1MaU0uDBMG0a1K5dPstPSU/hvA/OY8baGbx9/tvc1eMuS0ymovgN+J8m6r3A15IkAd/9bUdOxpTSkUe6R3k4nHGY8z44j2/Xfss757/D1cdfXT4rMqaMSZLcjOv2qC5wDNAUeJ0AWwmyIydjSmnRIvjoI9fNeVnK0iyu+/w6ZqydYYnJVES3A6cA+wE0Uf/AVS8PiCUnY0rp44/hioJaKCuFR2c+ykdLPuLZvs9aYjIVUaomalr2gCRJFBDwXzhLTsaUUlqaqwxRlpeBJq+YzOOzHueGE27g/pPvL7sFGxM830mSPAxUlyQ5C/gEmBzozJacjCml7ORUVv7c+ydXf3Y1XRp3YcSAEVb5wVRUw4AduG7ibwG+1ER9JNCZrUKEMaWUnl52ySkzK5NrPruGLM3ik0s+sfuYTEV2pybqK8CY7BGSJHd744pkR07GlFJZHjm9NPslvl//PcP7DadlnZZls1BjQuNaP+OuC3Rm6zLDmFL680/Yswc6dy7dclbvXk3H1zpybqtz+fTST+10nim1UHSZIUlyBTAEOBX43qcoAcjURO0byHLstJ4xpdSihXuUhqpy25e3ER0Rzav9XrXEZCqyn4AtQH3gBZ/xB4CFgS7EkpMxpTR1Khw8CBcW2otN4cYvHc/U1VMZ3m84TWs2LbvgjAkyTdR1wDrgpNIsx07rGVNKgwbBxo2uw8GSOJxxmPYj2pMQm8BvQ38jMiKybAM0VVYoe8KVJOkJDAfaATFAJJCsiRpQl5x25GRMKZW2QsTwOcNZu3ct31z9jSUmU5m8imuJ/BOgG3AN0CrQma22njGlVJrktPfwXp764Sn6t+5P35YBXSc2psLQRF0FRGqiZmqivoXrDTcgduRkTCmlpUG1Et6O9PLsl9l7eC9PnPlE2QZlTOilSJLEAPMlSZ7FVZII+BSjHTkZU0ppaRAdXfz59hzaw0uzX+KCthfQuXEp66EbE36uxl1nugNIBpoBFwU6c0iOnETkXuAmXCOAi4DrVfVwKGIxprTGjy/ZfK/OfZX9qftJPCOxbAMyJkD+9sVAHPAR0AL4E7hUVfcUd9lerT2AQ0BSsWMLdm09EWkK/AC0V9VDIvIx8KWqvl3QPFZbz1Q2h9IPcdTLR3Fi0xP535D/hTocU0kVVluvoH0x0B7YrarPiMgwoI6qPhjwOpNkEYW0Pq6JelwgywnVNacooLqIpOOy9OYQxWFMqY0ZA82awbnnBj7P2AVj2ZGygwdOfqD8AjOmaP72xQ8Bvbzyd4CZQMDJCRhYFoEVeOQkwmQKy37KoBKvVORu4Enc4d5UVb3SzzRDcb0oEhMT0zU1NbWkqzOmXB11FPTuDW+9Fdj0qkq7Ee1IiE1g7k1zrTUIU25EJA13ui7baFUd7VOeb18sIntVtbbPNHtUtU6wYs5W2JHT897zhcARwLve8BW485AlIiJ1gMHA0cBe4BMRuUpV3/WdztuAo8Gd1ivp+owpb8WtSj5j7QxW7FrB2PPHWmIy5S1DVbv5KyhoX1xWK5YkOUDOAU4MEE1Z3ISryncAIjyuyuk+RZNFmFXCeAH6AmtVdYdbvnwKnExO8jOmQilucnpt3mvUq16PSzpcUn5BGVO0gvbF20SksapuEZHGwPaSLFwTNcF3WJLkfKB7oPMHUpW8gQh/td0vwtFAg0BX4Md6oKeIxIn729gHWFaK5RkTUsVJTpsPbObz5Z9z/QnXW19NJtQK2hdPIqe7i2uBiWWxMk3Uz4HegU4fSIWIe4GZIqzxhlvgejUsEVWdIyLjgd+ADOB3vNN3xlRExUlOb89/m0zN5JZuJf4JGVMmCtkX1wA+FpEbcQmsRIf4kiS+TSFH4JowCvgSTUBVyUWIBdp6g8tVCWrtBKtKbsLZli0QFwe1ahU+narSdkRbjqhxBN9d911wgjNVWogbfvWtIpSBq6swRhM1oNOERR45iRAH3AccpcrNIrQWoY0qX5QkYGMqm8aNA5tuzqY5rNy1kgdPKU6tXGMqJk3U60szfyCn9d4CfiWnb46NuFZmLTmZKi81FZ56yt3jdFIRvdeMXTCW6lHVubj9xcEJzpgQkiQ5GrgTdynor1yjiRrQbUiBJKdjVLlMhCsAVDkkgtV/NQZITobHHoO6dQtPTumZ6Xy05CMuaHcBNWMDqklrTEX3OfBfYDKQVdyZA0lOaSJUx7uQJcIxENxrTsaEq7Q091xUhYjpa6ez+9BuLu9wefkHZUx4OKyJ+p+SzhxIckoEvgKaifAecApwXUlXaExlkp7unotKTp8s+YSasTU5+5izyz8oY8LDK5IkicBUfA5oNFED6jM6kOT0K66ViJ6AAHcDCYXOYUwVEciRU3pmOp+v+JxBbQYRGxUbnMCMCb1OuG4zepNzWk8J8F6nQJLTZKCfKv8DEKEdrkJEx2KHakwlE0hymrF2BrsP7eaS9tYihKlSLgBaaqKmlWTmQJLTU7gmi/rj7nUaC+RrqNWYqqhNGzhwoPDk9Pnyz6kRU8NO6ZmqZgFQmxI2f1RkclLlfyJEA9/gTuedr8ofJVmZMZVNRATUqFFwuaryxR9fcPYxZ1tzRaaqaQQslyT5hdzXnEpXlVyE4eRuaqImsAa4UwRUuatk8RpTeaxZAyNGwK23QuvW+cvnb53Pxv0beazXY8EPzpjQKlUXz4UdOc3LM/xraVZkTGW0bh28+CIMGuQ/OU1eORlBGHDsgOAHZ0wIaaKWqo2uwrrMeKc0CzamKiiqQsTklZPpcWQPGsY3DF5QxoSBcuvP6a8VCK2Bp3H9yv910lw1pxsNY6qqwpLT9uTtzNs8j8fPfDy4QRkTBoLRn9NbwGu4VmXPxNXWGxd4iMZUXtnJKTo6f9n0NdMBrJaeMZRPf07VVZkugqiyDnhUhO8p5cUuYyqDwlqImLZmGnWq1aFr467BDcqYMFDa/pwCSU6HRYgA/hDhDmATYCfQjQEuvxwuuyz/eFXlmzXf0Pvo3kRGRAY/MGNC7zyf19n9OQ0OdOZAktM9QBxwF/A47tTeNQGHZ0wlJ37a6F+5ayUb9m/g4dMeDn5AxoSB0vbnFMg1pxaqHFRloyrXq3IR0Lw0KzWmspg+HYYOda1E+Jq2ZhoAZ7U8KwRRGRN6kiTvSJLU9hmuI0nyZqDzB5KcHgpwnDFVzqJFMGYMZGbmHj9z3Uya12rOMXWPCU1gxoTecZqoe7MHNFH3AJ0DnbmwFiL6Af2BpiL49slRE3f+0Jgqz19VclVl1rpZnHPMOaEJypjwECFJUsdLSkiS1CWwS0lQxISbca1EDCJ36xAHgHtLEKgxlY6/5LRi1wq2J2/njKPOCE1QxoSHF4CfJEnG42rpXQo8GejMhbUQsQBYIML7qqR7jb92BDapsqeUQRtTKaSluQoRkT4V8matmwXA6UedHqKojAk9TdSxkiTzcPc2CXChJurSQOcv8JqTCK+L0MFLTLVwzZ+PBX4X4YrSBm5MZRAZCXXq5K6xN2vdLI6ocQSt6rYKXWDGhJgkSU9ggybqq5qow4ENkiQ9Ap2/sAoRp6myxHt9PbBSlU5AV+DvJY7YmEokMRF27coZVlW+W/cdpx91OuKvjrkxVcdrwEGf4WRvXEAKS06+vReeBXwOoMrWYgTnl4jUFpHxIrJcRJaJyEmlXaYx4WDD/g1s3L+RU5udGupQjAmIv/2xiNQVkW9E5A/vuU5JFq2J+leLEJqoWRSjQkRhyWmvCANF6AycAnzl3ghRQPUSBOrrFeArVW0LHA8sK+XyjAmJUaPg9ttzhudsnAPAyc1ODlFExhSbv/3xMGC6qrYGpnvDxbVGkuQuSZJo73E3rk/AgBSWxW4B/gMcAdzjc8TUB/hfCQIFQERqAqcD1wGoahq5j9KMKZV33oHJk/OPHz/ePb/+OkyblrusWjV49133+qWX4Mcfc5fXqePuZwJ4+mn41au/Os/r9WzECPc8e+NsqkVV47hGx5X+jYTAN9/Avn1w8cXudOUtt+Sf5rrrYOBA2LgR7rknf/mtt0LfvvDHH/CQnzsi770XTjkFFi6Ex/z0wfjww9ClC8ydC88+m7/88cehXTuYNQv+85/cZYry5DOpNGiSzJfTkhn3UTKZEclkSApZkkZWRBo3DU0noVY6P81J4/sf08mSdFcm6aikM/jCNKJi0lmwKJNly7NQFMhCJQsli/79s4iIVBYtyWLtWjce3HQiWfTuk0WWZrF0eRabt2R5UWWBKJGRykknuTHLl8POneoTuRITA127uXHLlilxcTDqykfo3Djg24OKpaD9sYgMBnp5k70DzAQeLObib8XlkH/gautNB24OdObCauutBM71M/5r4OtiBumrJbADeEtEjsdVU79bVZN9JxKRocBQgJiCOssxxo/t22H58oLLt27NXx4Xl/N68+b85Q0a5LzeuDGnvEYNONun0fHZm2bTtXFXoiP9NFNeAbz+OmzZ4pJTerr/7bh7t3tOS/Nfvm+fez582H/5/v3uOSXFf/lB7yrF3v3pLFy3hYy4jaRX30hG9c1kxuwmcc5uopbuZvn63SxruousmD1kRR0kKzKFrKhkPn0vK2dhx+Zf/k9TfQaa5S9f9LN7FgRtIKARiEYAEaARvDFfiJAI0tMiSK/pxkHOdF+uiiBCIth/SDgUk1MuGoFEwLzN7lrkzjQhORLQ7GuTQpQKS7aDiLAlDWJFOJh2MH+QgYsSEd+OY0er6mifYb/7Y6CRqm4BUNUtIlLs9lQ1UbcDl2cPS5JUBwYCnwQyv6gG3EhsmRCRbsBs4BRVnSMirwD7VfWfBc0THx+vycnJBRUbA8Cll7pmhKZMCc360zLTqPl0Te7ofgfPn/18aIIopVNOcUeR06cHZ32H0g/xx+4/WL5z+V+PVbtXsXH/RrYe3OodteQQhNrValO3el3qxdWjbvW61KlWhxoxNYiPjic+Jp746HjiouP+eh0f44arRVUjOiKa6MhoYiJj/nodHeEN53kdIYE0oBPeRCRFVeMLKfe7PwbuVNXaPtPtUdViX3eSJIkEzgau8J5/0ES9OJB5A744VYY2AhtVdY43PJ6Snc80Jpfdu92/9VBZsHUBqZmp9DyyZ+iCKKWtW6FnOYWfpVks37mcORvnMGeTeyzatohMdW0/CUKL2i1oXa81xzU6jqYJTTmy5pF/PRonNKZOtTrWynvZKmh/vE1EGntHTY2B7cVZqCTJ6cAQYAAwF1dvoaUmakqgywh6clLVrSKyQUTaqOoK3DWsgG/MMqYgGRkQFYq/W57ZG2cDVNjkpOqS0xFHlN0ydyTv4KtVX/HV6q+YunoqO1N2AlAztibdm3Zn2KnD6NSwE23rt+XYesdSPbq0da1McRSyP14KXAs84z1PDHSZkiQbgfW4auMPaKIekCRZW5zEBIF10343rjfcA8AbuIb7hqkytdAZC3cn8J6IxOBqb5SqaXVjwCWnatVCt/65m+fSuEZjjqx5ZOiCKIWDB911oEaNSrecfYf38emyT/lwyYdMXzOdTM2kYXxDzm11Lr1b9KbnkT1pU79NpThtVkn42x9HAB+LyI24RHNJMZY3ATgfuAzIlCSZSDE6GcxW5DUnERaocrwI5wC3A/8E3lKlS3FXVlJ2zckEomdPqF0bvvoqNOvvMLIDx9Q5hklXTApNAKWUnu5qITZpAs1L0CnO4u2LGT5nOO8uepeU9BRa1mnJ5R0u58J2F9K5cWdLRiFQ1DWncltvkgiu778rcA2I1wRuBL7URA2ohkcgJ0Gyq5L0xyWlBSLYre8m7Jx7rqs9FwrJacks37mcS9oX5w9meImOLtn1ptkbZ/PPb//JtDXTqBZVjSs7XcnQrkM5scmJ1kpGFeXdfDsDmCFJEo2r+X0FMBKoH8gyAklOv4owFTgaeEiEBCCriHmMCbpHHw3duhduW0iWZtGlcdBOKJS55cthzhy48EJISCh6+sXbF/PIjEeYtGISDeIa8EyfZ7ipy03Ui6tX/sGaCkMTNR2YDEz2qpMHJJDkdCNwArBGlRQR6mHXiIzJ5bctvwFU6OQ0bRrceSf061d4cjqccZjHvnuMZ398lviYeJ448wnu7nk3NWJCdNhqKgxN1EOBTltkclIlS4RtQHuv6SJjwtLxx8Nxx8G4ccFf929bfqNhfEOaJjQN/srLyNatrpX1eoUc+Py4/kdumHQDK3et5PoTrue5s56zIyVTLgKprfdvXK2LpUB2Z9QKzCrHuIwptpQUyArRCedft/xKl8ZdKvQ1lm3boGHD3H1TZVNVXvj5BR6c9iDNazVn6lVTOeuYs4IfpKkyAjkSOh9oo0pqOcdiTKmE6j6n3Yd2s2THEga0HhD8lZehrVv9VyNPSU/hpkk38cHiD7i4/cW8OehNEmIDuChlqjRJkmOBB4Cj8Mk1mqi9A5k/kJ/yGiAaLDmZ8BaK5LT5wGbOefccIiSCwW0HB3flZczfDbjbk7dzzrvnsGDrAp7q/RTDTh1WoY8OTVB9ArwOjCHnrFvAAvkppwDzRZiOT4JS5a7irsyY8hTs5LRq9yrOHnc2O1J2MOXKKXRv2j14Ky8HEye6xlyzbTu4jd5je7N2z1q+GPIF/Vv3D11wpiLK0EQNuHPBvAL5KU/yHsaEteuucxUigmH5zuX0ersXmZrJt9d+S7cm3YKz4nLUpEnO6y0HttB7bG/W71vPlCuncEaLM0IXmKmoJkuS3AZ8hu+BTaLuDmTmgFolF6E60FyVFSWNsjSshQgTTtbvW88pb55CemY6M6+bSdv6bVm3DnbudEduxx/vplu1Kqf7iGyxsdCxo3u9YkVO9xDZqleH9u3d62XLXCUPXzVqQJs27vXixZCa52R7rVrQqpV7vXCha/XBV5060LKle/377zkVSFJT4dtvYfBgaHT0Dk576zQ27t/IlCuncNpRpwW+cUxYCVULEQCSJGv9jFZN1JYBLUBVC32Ange6AnStN3wC6KSi5ivLR1xcnBpTlNRU1czM8l3HvsP7tP2I9lrr6Vo6f8t8VVXdtUs1MlIVVBs1ypn2vPPcON9Hq1Y55b165S/v3DmnvGvX/OWnn55T3qZN/vIBA3LKmzTJX37ZZTnlCQn5yz8Yn6InvXGSVnuims76c1YZbz0TbECyBnFfXZaPQE7rPQp0x/WEiCrzRTg6oMxnTBDVrAl33w3//nf5LD8zK5PLx1/Oyl0r+fqqrzn+CHeItGMHZGbC/ffDWT61q//xD7g5T7+f8T7/YZ980vU266tWrZzXL76Y/8irbt2c16+9lv/Iq6FPl3Bvv52/C5H6jVJZumM1K3et5IpX1rHj8CZ2p29md/om9mRs5qYVm0hJT+GTSz6xIyZTKl6zRX/D9bQLLoeM8lqMKFIgySlDlX15KugEt4dCYwJQ3hUiHvvuMaasmsLrA16n99E5tWGzE8Rpp+XuFbd7EfUjTj658PLTTy+8/MwzCy5TVY49cT3zNs9j3uZ5/L71d1buWsm639eRpTk3g8VGxtIkoQlN6jShXc0TaFKjP31a9mHgsQMLX7kxRXsNV9N7pDd8tTfupkBmDuSnvFiEIUCkCK2Bu4CfShCoMeVG1R29lFdymrZmGo/PepzrTriOW7rdkqtMBNq2LbxlhfKmqizZsYRpa6Yxfe10Zm+c/VffSVERUXRs2JGeR/bkmuOv4dh6x3JsvWNpUbsF9arXs6rhprycqIl6vM/wDEmSBYHOHMhP+U7gEVxti/eBqcBjxQrRmHKW6d1FUR7Jafeh3Vz92dW0rd+WV/u9mq+8SxdXeSHYMrIy+H7d90xYNoHPln/G5gObAWhVtxXnHXse3Zp048QmJ9KpUSeqRYWwoytTVWVKkhyjiboaQJKkJcW43ymQn/IVqjyCS1AAiPAM1rW6CSPlmZzunHInO1N28uWQL4mPCUnFp1zW7FnDmF/H8Nb8t9iWvI3qUdXp17ofA1sPpE/LPjSvVYLOmIwpew8A30qSrMF1vXQUxWg0PJCf8sUiHFblPQARRgD2N8yEFREYNgxOOqlslztpxSTeX/Q+Sb2S6Ny4s99pJk6E55+HTz+FBg3Kdv2+vl/3PU//8DRfrfoKEWHgsQO5+rir6deqX1gkTWN8aaJOlyRpDbTBJaflmqgBtzQUSE+41XE34b4J9AN2q3JPiSMuAbvPyYRCcloyHUZ2ICE2gd+G/kZ0ZLTf6f7zH1dLcNeu3LXpysr3677n0e8eZcbaGTSMb8ht3W7jxi43Vtju4E3whOI+J0mS3pqoMyRJLvRXron6aSDLKfDISQTfn9lNwOfAj8BjItRVJaC7fI0Jhqws2LvXVdWOjS2bZT75/ZOs27eO76//vsDEBDm19cq6F97NBzZz79f38vGSj2kU34gXz36RW7rdQlx0XNmuyJiydQauF9zz/JQpULrkBPzqLUh8ngd4DwUCu8vXmCDYscM1WjpyJPztb6Vf3p97/+SFn1/gmuOv4dTmpxY67cGDrovzmJjSrxcgS7MYMXcEj8x4hLTMNJJ6JXH/yfdbUjIVgiZqovfyMU3UXK1ESJIEfI9sgclJ1W60NRVHRoZ7LqsKEf+Y8Q8iJIInez9Z5LQHD5bdUdPOlJ1c9elVfL36a84+5mxG9B9Bq7qtymbhxgTXBCBv19Djga6BzBxIZ4P+7/JVArrL15hgKMvk9PuW33lv0Xs8dOpDAV3Xadq0bCpi/LThJy4bfxk7knfw+oDXGdp1qN2DZCocSZK2QAegVp7rTjUpRmW6QH7KpbrL15hgKMvklPRdErWr1ebvp/w9oOkffNA9SmPsgrHcOOlGmtdqzk83/kSXxnn/cBpTYbQBBgK1yX3d6QBws78Z/CmsQkSUKhnAiarkvstXCPguX2OCoayS0/yt85m4YiKPnvEotavVLnVcgRg+Zzh3fXUXfY7uw4RLJ1CrWq2iZzImTGmiTgQmSpKcpIn6c0mXE1FI2VzvOVOEY7JHilCsu3wLIiKRIvK7iHxR2mUZU6+ea0i1tP05PTHrCWrG1uTunncHPM9VV8HQocVfl6ryxKwnuOuruzi/7fl8MeQLS0wm6PLui0Wkroh8IyJ/eM91SrjoWyVJav+1niSpI0nyZqAzF5acsk923w98K8JMEWbiqgj+XwkCzetuIASNvpjKqH59ePhh6NCh5MtYtXsVny77lDtOvKNYR01Ll8KWLcVf3xOznuCf3/6Tq4+7mk8u+cSaGDKhkndfPAyYrqqtgemUvDWg4zRR92YPaKLuAfzfye5HYcmpgQj3AScAo3BJaTKuP/iAV+CPiByJq5L+RmmWY0y21FRYtw4OHSr5Ml6Z/QpREVHc0f2OYs1Xktp6o+aN4l8z/8XVx13N2+e/TVREEPuXN8ZTwL54MPCO9/od4PwSLj5CknKOuiRJ6hJYPQcoYsJIoAY5R1B4wwAJxYnQj5eBvxe2HBEZCgwFiCmrG0hMpTV/PvTsCV9+Cf36FX/+vYf38tb8txjSaQiNExoXa97k5OIlp29Wf8NtX95G/9b9+e+g/xIhhf1HNKZUokRkns/waFUd7TP8Mvn3xY1UdQuAqm4REZ9eworlBeAnSZLx3vAlQNH3ZngKS05bVMu+9XERGQhsV9VfRaRXQdN5G3A0uOaLyjoOU7mUtkLEm7+/SXJ6Mvf2vLfY8x48mLsTwcKs2r2Ky8ZfRvsG7fnwog8LbXnCmDKQoard/BUEui8uKU3UsZIk84DeuIOcCzVRlwY6fyDXnMraKcAgEfkT+BDoLSLvltO6TBVRmuSkqoz6dRSnNDvlr95ti+P006Fjx6KnS81I5bLxlwEw6fJJJMSW9gSEMaVS0L54m4g0BvCetxdnoZIkNb3nusBWXFdL7wFbvXEBKSw59SlOQIFS1YdU9UhVbQFcDsxQ1avKY12m6ihNcpq1bhYrd61kaNcSVLkDJk+GmwK46+/BaQ/y25bfePv8tzm6jjXAYkKrkH3xJOBab7JrgYnFXPT73vOvwDyfR/ZwQAprvsgadjUVRmmS06hfR1G7Wm0uaX9J2QblY8baGbwy5xXu6n4Xg9oMKrf1GFMGngE+FpEbgfW4a0UB00Qd6D2X6h9YkV1mhAPrMsMUZd0616/SpZe6BmADtffwXo54/ghu7nIzw/sPL/Z616+Hk0923WZc6LeDADiQeoBOr3UiNiqW+bfMp3p09WKvx5iSCEWXGX+tO0km4k4XTtRETSnu/FZ/1VQKRx0Fd91V/PnGLx1PamYq155wbdET+7F/P2za5LrsKMi/vv0X6/et5/vrv7fEZKqSF4HLgGckSeYCHwFfaKIeDmRmq8NqKoV9+2DJEjgc0Nc+x7sL36VNvTZ0bRxQQ8n5FNWX06Jtixg+dzhDuw7llOanlGgdxlREmqjfaaLehuteaTRwKcWoXGHJyVQKX3/tasytWRP4POv3ree7dd9x1XFXlbj178KSk6pyxxTX2kQgXW8YU9lIklQHLgJuBU4k5+beItlpPVMplKRCxIeLPwRgSKchJV5vdnLyd5/TpBWTmLVuFq8PeJ16cfVKvA5jKiJJko+AHsBXwAhgpiZqISfAc7PkZCqFkiSn8UvH061JN1rWKXmnzg0bwsUXQ4MGeeLJyuDhGQ/Tpl4bbuxyY4mXb0wF9hYwRBO1RA2FW3IylUJxk9P6fev5ZfMvPN3n6VKt9+ST3SOvcQvGsXTHUiZcOsHazTNVkibqV5IkJ0uStMAn12iijg1kfvvVmEqhuMnps2WfAXBRu4vKPpasDJ78/km6Nu7KBW0vKPPlG1MRSJKMA44B5pPTzZIClpxM1XHGGfDmm1C7dmDTT1g2gU4NO9G6XutSrfeJJ+DFF2HnTojwqhd9uPhDVu9ZzeeXfW7drJuqrBvQXhNLdjOtJSdTKbRp4x6B2JG8gx/W/8C/zvhXqde7d6/rriM7MWVpFk99/xSdGnbivDbnFTqvMZXcYuAIoAS9nVlyMpXEpk3uPqe6daGb1wbz3LmQkue+9Lp1YSFfoyjNDg1k5szc5Q0bQvv27vX330Nmnku5jRvnJMGZM+GPP3JXI5/yxxSW7VzG+xe+b11hmKquPrDUuwE3NXukJmpA7XdZcjKVwnvvwYMPQvPmrikjgGuugRUrck/Xvz/UvOF/NIpvxD9v6sKWzbnLL7sMPnQ1zBkwAA4cyF1+000wZox7feaZ7rlTp5zyl+e8TNOEplzc/uKyeWPGVFyPlmZmS06mUsiuEOHbBOPYsfmPnGrWzqDv118zuO1gbv4kgrS03OUNfbpV+9///B85Zfv2W/fc2rtstWT7EqatmcZTvZ+yfppMlaeJ+p0kSSPczbcAczVRA24hwpKTqRSyk5PvUUz37vmn+2H9bPYc3sOA1gM4uX3hyzzttMLLe/XKPTx87nCqRVUrcdcbxlQmkiSXAs8BM3H9Aw6XJHlAE3V8oTN6LDmZSiE7OVUvol3VKX9MIVIiOavlWWW6/oNpB3l/0ftc2uFSaw3CGOcR4MTsoyVJkgbANCCg5GRXbE2lkJEBIlCtWuHTTVs7jR5H9qBWtVpluv6Pl3zMgbQD3Nzl5jJdrjEVWESe03i7KEbOsSMnUykMGeKqc59zTsHT7D28l3mb5/HIaY+U6bpVlTG/jaFt/bac0sxaHjfG85UkydfAB97wZcCUQGe2IydTKXTs6G6ILew60Xd/fkeWZtHn6D5lss7MrEzGLRjHca8fx+yNs7ml6y12060xHk3UB4BRwHHA8cBoTdS/Bzq/JSdTKSxbBi+/7O47Ksj0tdOpHlWdnkf2LNW6sjSLDxd/SIeRHbjm82sQhDcHvcldPUrQ26ExlYwkSStJklMANFE/1US9TxP1XmCXJMkxgS7HkpOpFIYPh/vug5EjC55m+trpnHbUacRGxZZ4Pb9v+Z0eb/TgiglXEBURxYRLJzD/1vlc3/l6u+nWGOdl4ICf8SleWUDs12QqhYwMUC24QsS2g9tYumMpvVv0LtHyk9OSeWDqA5w45kQ27NvAuAvGseDWBVzY7kJLSsbk1kITdWHekZqo84AWgS7EKkSYSiE93T0XlJx+WP8DAGe0OKPYy16yfQkXfnwhK3et5OYuN/Pvvv+mTvU6JQ3VmMqusDqzRdzskcP+8plKIdVruauw5FQtqhpdGncp1nI/XPwh3d/ozr7D+5h+zXRGnzfaEpMxhftFkiTfPRWSJDcCvwa6EDtyMpVCkUdOG36gR9MexETGBLS8LM3iwW8e5Pmfn+eUZqfw8SUf0yShSRlFa0yldg/wmSTJleQko25ADBBwB2eWnEylMGyYa65okJ/2jg+mHeT3Lb8z7NRhAS0rMyuTW7+4lTd+f4Pbut3Gy+e+bG3lGRMgTdRtwMmSJGcCHb3R/9NEnVGc5QQ9OYlIM1xPiEcAWcBoVX0l2HGYyqVrV/fwZ/bG2WRqJqc1L6KxPFwvttdPvJ53F77LI6c9wuNnPm73LplKq6D9sYjUBT7CVWD4E7hUVfcUZ9maqN8C35Y0tlBcc8oA/k9V2wE9gdtFpIgmOI0p3Ndfw2OPwRY/3Zr9sP4HIiSCk5qdVOgyMrMyufLTK3l34bs8ceYTPNH7CUtMprIraH88DJiuqq2B6d5wUAU9OanqFlX9zXt9AFgGNA12HKZyefxxSEx0HQzmNXvjbDo06EDN2JoFzq+q3Pv1vXy85GP+3fffPHJ62TZxZEw4KmR/PBh4x5vsHeD8YMcW0tp6ItIC6AzM8VM2VETmici8jOwmp40pQHa/THkrRKgqczfNpUfTHoXOP3zucIbPHc59Pe/j76cE3MKKMeEuKns/6j0K7M8lz/64kapuAZfAgIYFzVdeQlYhQkRqABOAe1R1f95yVR0NjAaIj4/XIIdnKpiCauut2r2KPYf30OPIgpPTt2u/5b6v7+P8tufz3NnPlWOUxgRdhqp2K2qivPvjcDidHZIjJxGJxm2I91T101DEYCqX7OQUm6dlormb3Hm+7k399DwIbDmwhcvGX8ax9Y5l7PljrbUHU+UUsD/eJiKNvfLGQMA92JaVoP8SxaXk/wLLVPXFYK/fVE7ZZ37zHjnN2TSHuOg42jfIX+cmS7O4buJ1HEw7yPhLx5MQmxCESI0JH4XsjycB13qvrwUmBju2UJzWOwW4GlgkIvO9cQ+r6pchiMVUEmPGwNq10KpV7vFzN82lW5NuREXk/6qPmDuCqaun8vqA1/0mL2OqAL/7Y+AZ4GMRuRFYD1wS7MBENfwv58THx2tycnKowzAVTFpmGglPJ3BX97vyXUv6c++fdBjZgV4tevHFFV9YlXFTKYlIiqrGhzqOkrAT7KZSGD4cHn4YDh/OGbdo2yLSMtM4semJuaZVVW754hYiJILXBrxmicmYMGTJyVQKTz4JTz+dOznN3zofgM5HdM417YRlE5i6eipP9X6K5rWaBzFKY0ygLDmZSiEz0z37Voj4fevvJMQkcEzdnM43D6Uf4v6p99OpYSf+duLfghylMSZQ1vCrqRSyk5NvVfLft/7O8Uccn6t6+Is/v8i6fev49tpv/VaSMMaEBztyMpVCZiZERED25aPMrEwWbF2Q65Te7kO7efanZxnUZhC9WvQKTaDGmIBYcjKVQmYmREbmDK/avYrk9ORcyenZH5/lQOoBnjjziRBEaIwpDjuvYSqFL7/M6Q0X3Ck9gM6NXXLanryd/8z5D0M6DaFTo06hCNEYUwyWnEylcPrpuYfnb51PdET0XzfXvjL7FQ5nHOafp/8zBNEZY4rLTuuZSuH22+HRR3OGF25bSPsG7YmJjGF/6n5G/DKCC9tdSJv6bUIWozEmcJacTKUwahSMHJkzvHj74r9O342aN4p9qft46NSHQhSdMaa4LDmZSiErC6K8k9T7Du9jw/4NdGzQkYysDF795VXObHEmXZsU0I+7MSbsWHIylYIqREe710t2LAGgY8OOTF4xmfX71nNn9ztDGJ0xprgsOZkKLyvLPWcnp8XbFwMuOb36y6s0r9Wc89qcF6LojDElYcnJVHjZrUP4JqcaMTVISU9hxtoZ/K3b36w1CGMqGPvFmgovKgrmzoUaNdzw4u2L6diwI2/Pf5tIieT6E64PbYDGmGKzIydT4YnAiSdCu3ZuePH2xbRv0J6xC8cy4NgBNKrRKLQBGmOKzZKTqfAOHYL+/V2fTtuTt7MjZQeREsnWg1u54YQbQh2eMaYE7LSeqfCSk2HKFEhJgU7nLQVg2Y5lNIxvSP/W/UMcnTGmJOzIyVR4GRnuOSYGlu9cDsAvm3/hsg6XER0ZHcLIjDElZcnJVHjp6e45NhZW7FxBTGQMqZmpXN7x8tAGZowpMTutZyq8lBT3HBsLy3ctp1pUNY6ocQQ9j+wZ2sCMMSVmR06mwvNNTkt3LOVA6gEu63BZrh5wjTEVix05mQqvUydYvRpiaxyi2WsbUJRL2l8S6rCMMaVgfy1NhRcVBS1bwi79A0WpU62ONfJqTAUXkuQkIueKyAoRWSUiw0IRg6k85s+Hnj3hrS8XAtC3ZV87pWdMAMJ5Xxz0X7CIRAIjgH5Ae+AKEWkf7DhM5bFkCcyZA9+s/QqAKztdGeKIjAl/4b4vDsU1p+7AKlVdAyAiHwKDgaVlvaK+Y/sy/Y8f8o0XcffEAKSm5p+v1OUREBMNCqT5KY+IcI2UqkJaWsHlWQrp/sojITrKtcadXY3aV2SkO9WVmQUZ/sqjICrSNZiafY+Qr6got4yMTMj0Vx4NkRFu3uxGV31FR7v3kJ4BWf7KYyBCXOzZLYr7iolx27jA8lgQIC0dNLv8H7AkMg1B6Ne6X/6ZjDF5BW1fXBKhSE5NgQ0+wxuBHnknEpGhwFCAmOxMUNwVJTQlOr1+vh1odDTUr+1ebzuQfwcYEwP14tzrrftdEvEVGwt1vfIt+3FZyEe1alAnzs23dV/+uKpXh9pxbse+fX/+8rg4qBXnds47/ZTXqAEJcS6x7TrgpzwBasTB4cOwx095Qk2Ij3O13PYdzF9es7aLMTkZ9h/OX16runuPBw/AAT/ltePdNty/H5L9lNdNcAlw3z5I8VNer5ZLbnv3wiE/5fVru+S1Z497j+CGGyTA2a37EBNZsu+LMZVQlIjM8xkeraqjvdcB7YtDJRTJSfyM03wj3AYcDRAfH5+vPBDvXPAO71xQkjmNMaZSyFDVbgWUBbQvDpVQXDXeCDTzGT4S2ByCOIwxpioL631xKJLTL0BrETlaRGKAy4FJIYjDGGOqsrDeFwf9tJ6qZojIHcDXQCTwpqouCXYcxhhTlYX7vlg079X+MBQfH6/JycmhDsMYYyoUEUlR1fhQx1ESdqeiMcaYsGPJyRhjTNix5GSMMSbsWHIyxhgTdipEhQgRyQIOlXD2KMBPIzwhF65xQfjGZnEVT7jGBeEbW2WLq7qqVsiDkAqRnEpDROYVcod0yIRrXBC+sVlcxROucUH4xmZxhY8KmVGNMcZUbpacjDHGhJ2qkJxGFz1JSIRrXBC+sVlcxROucUH4xmZxhYlKf83JGGNMxVMVjpyMMcZUMJacjDHGhJ1KnZxE5FwRWSEiq0RkWAjjaCYi34rIMhFZIiJ3e+MfFZFNIjLfe/QPQWx/isgib/3zvHF1ReQbEfnDe64T5Jja+GyT+SKyX0TuCdX2EpE3RWS7iCz2GVfgNhKRh7zv3AoROSfIcT0nIstFZKGIfCYitb3xLUTkkM+2ez3IcRX42YV4e33kE9OfIjLfGx/M7VXQ/iHk37GQUtVK+cA1Ab8aaAnEAAuA9iGKpTHQxXudAKwE2gOPAveHeDv9CdTPM+5ZYJj3ehjw7xB/jluBo0K1vYDTgS7A4qK2kfe5LgBigaO972BkEOM6G4jyXv/bJ64WvtOFYHv5/exCvb3ylL8A/CsE26ug/UPIv2OhfFTmI6fuwCpVXaOqacCHwOBQBKKqW1T1N+/1AWAZ0DQUsQRoMPCO9/od4PzQhUIfYLWqrgtVAKo6C9idZ3RB22gw8KGqpqrqWmAV7rsYlLhUdaqqZrckMBvXu2lQFbC9ChLS7ZVNRAS4FPigPNZdmEL2DyH/joVSZU5OTYENPsMbCYOEICItgM7AHG/UHd4pmDeDffrMo8BUEflVRIZ64xqp6hZwPxygYQjiynY5uXcYod5e2QraRuH0vbsBmOIzfLSI/C4i34nIaSGIx99nFy7b6zRgm6r+4TMu6Nsrz/6hInzHyk1lTk7iZ1xI682LSA1gAnCPqu4HXgOOAU4AtuBOKwTbKaraBegH3C4ip4cgBr/EdR09CPjEGxUO26soYfG9E5FHcG2xveeN2gI0V9XOwH3A+yJSM4ghFfTZhcX2Aq4g95+goG8vP/uHAif1M67S3RNUmZPTRqCZz/CRwOYQxYKIROO+eO+p6qcAqrpNVTNVNQsYQwgOzVV1s/e8HfjMi2GbiDT24m4MbA92XJ5+wG+qus2LMeTby0dB2yjk3zsRuRYYCFyp3kUK7xTQLu/1r7jrFMcGK6ZCPrtw2F5RwIXAR9njgr29/O0fCOPvWDBU5uT0C9BaRI72/oFfDkwKRSDe+ez/AstU9UWf8Y19JrsAWJx33nKOK15EErJf4y6mL8Ztp2u9ya4FJgYzLh+5/s2GenvlUdA2mgRcLiKxInI00BqYG6ygRORc4EFgkKqm+IxvICKR3uuWXlxrghhXQZ9dSLeXpy+wXFU3Zo8I5vYqaP9AmH7HgibUNTLK8wH0x9V8WQ08EsI4TsUddi8E5nuP/sA4YJE3fhLQOMhxtcTV+lkALMneRkA9YDrwh/dcNwTbLA7YBdTyGReS7YVLkFuAdNy/1hsL20bAI953bgXQL8hxrcJdj8j+nr3uTXuR9xkvAH4DzgtyXAV+dqHcXt74t4Fb80wbzO1V0P4h5N+xUD6s+SJjjDFhpzKf1jPGGFNBWXIyxhgTdiw5GWOMCTuWnIwxxoQdS07GGGPCjiUnY/IQkdoicpv3uomIjA91TMZUNVaV3Jg8vPbNvlDVjqGOxZiqKirUARgThp4BjvH69vkDaKeqHUXkOlzL0JFAR1z7cDHA1UAq0F9Vd4vIMcAIoAGQAtysqsuD/SaMqcjstJ4x+Q3DddNxAvBAnrKOwBBc23BPAinqGgf9GbjGm2Y0cKeqdgXuB0YGI2hjKhM7cjKmeL5V1+fOARHZB0z2xi8CjvNalj4Z+MQ1mQa4TuGMMcVgycmY4kn1eZ3lM5yF+z1FAHu9oy5jTAnZaT1j8juA6y672NT1w7NWRC4B1+K0iBxflsEZUxVYcjImD3X9+PwoIouB50qwiCuBG0Uku7X3wWUZnzFVgVUlN8YYE3bsyMkYY0zYseRkjDEm7FhyMsYYE3YsORljjAk7lpyMMcaEHUtOxhhjwo4lJ2OMMWHn/wES04jHzVO5SQAAAABJRU5ErkJggg==\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, np.sum(mimo_step_up, 1), 'b--')\n",
|
|
"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')"
|
|
]
|
|
},
|
|
{
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"cell_type": "code",
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"execution_count": 138,
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"metadata": {},
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')"
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},
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"metadata": {},
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"execution_count": 138
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},
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{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"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": 139,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'step_down tokens staked for proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 139
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 1 Axes>",
|
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"pd.DataFrame(mimo_step_down[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_down tokens staked for proposal 0')\n",
|
|
"pd.DataFrame(mimo_step_down[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_down tokens staked for proposal 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 140,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 140
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
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"text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"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": 141,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 141
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
|
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_step_down[:,:,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_down[:,:,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_down_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_down[:,:,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_down[:,:,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_down_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')\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"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",
|
|
"- granular inputs with outputs"
|
|
]
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},
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{
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"cell_type": "code",
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"execution_count": 142,
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"metadata": {},
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": "(0.0, 28.32622105004482)"
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},
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"metadata": {},
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"execution_count": 142
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},
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{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, np.sum(mimo_noisy, 1), '.--', alpha=.3)\n",
|
|
"ax2.plot(time, mimo_noisy_response)\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated')\n",
|
|
"\n",
|
|
"plt.title('Conviction and tokens staked for proposals 0 and 1')\n",
|
|
"\n",
|
|
"\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 143,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 143
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
|
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"263.63625pt\" version=\"1.1\" viewBox=\"0 0 419.184375 263.63625\" width=\"419.184375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n <cc:Work>\r\n <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n <dc:date>2020-08-11T13:52:24.017818</dc:date>\r\n <dc:format>image/svg+xml</dc:format>\r\n <dc:creator>\r\n <cc:Agent>\r\n <dc:title>Matplotlib v3.3.0, https://matplotlib.org/</dc:title>\r\n </cc:Agent>\r\n </dc:creator>\r\n </cc:Work>\r\n </rdf:RDF>\r\n </metadata>\r\n <defs>\r\n <style 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_noisy[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_noisy[:,:,0],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 0')\n",
|
|
"\n",
|
|
"ax2.plot(time, mimo_noisy_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_noisy[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_noisy[:,:,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_noisy_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": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.7.5"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
} |