900 lines
1.7 MiB
900 lines
1.7 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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"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": 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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"output_type": "execute_result",
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"data": {
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"text/plain": "Text(0, 0.5, 'Conviction Accumulated')"
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"metadata": {},
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"execution_count": 3
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"output_type": "display_data",
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\n"
|
|
},
|
|
"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')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0, 0.5, 'Conviction Accumulated')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 4
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
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|
|
},
|
|
"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')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "(0.0, 10.472349981579981)"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 5
|
|
},
|
|
{
|
|
"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",
|
|
"\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",
|
|
"\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 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",
|
|
"\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": [],
|
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"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",
|
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"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": [
|
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"\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": {},
|
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"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": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
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"text/plain": "Text(0.5, 1.0, 'step_up tokens staked for proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 9
|
|
},
|
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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 1 Axes>",
|
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"pd.DataFrame(mimo_step_up[:,:,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_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": 10,
|
|
"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": 10
|
|
},
|
|
{
|
|
"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",
|
|
"\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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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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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": 11
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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": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'step_up tokens staked for proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 12
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 1 Axes>",
|
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},
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{
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"data": {
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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_up 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_up tokens staked for proposal 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
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|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')"
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|
},
|
|
"metadata": {},
|
|
"execution_count": 13
|
|
},
|
|
{
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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_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": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 14
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
|
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{
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"data": {
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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",
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|
"\n",
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"A set of tests where the participants start supporting a proposal but their support starts at different times\n",
|
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"- aggregate inputs with outputs\n",
|
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"- granular inputs with outputs"
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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": 15,
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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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"metadata": {},
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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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|
|
},
|
|
"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": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 16
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
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"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\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\">\n <defs>\n <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n </style>\n </defs>\n <g id=\"figure_1\">\n <g id=\"patch_1\">\n <path d=\"M 0 263.63625 \nL 419.184375 263.63625 \nL 419.184375 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n </g>\n <g id=\"axes_1\">\n <g id=\"patch_2\">\n <path d=\"M 43.78125 239.758125 \nL 378.58125 239.758125 \nL 378.58125 22.318125 \nL 43.78125 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n </g>\n <g id=\"PolyCollection_1\">\n <defs>\n <path d=\"M 58.999432 -83.655786 \nL 58.999432 -23.878125 \nL 60.528897 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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
|
|
} |