Aragon_Conviction_Voting/models/v3/.ipynb_checkpoints/Trigger_Function_Explanatio...

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"# The Trigger Function\n",
"\n",
"## Transforming Continuous Preferences into Discrete Events\n",
"\n",
"This notebook is a mathematical deep dive into the derivation of the Trigger Function used in Conviction Voting for the 1Hive use case.\n",
"\n",
"The role of the trigger function in the conviction voting algorithm is to determine if a sufficient amount of conviction has accumulated in support of a particular proposal, at which point it passes from being a candidate proposal to an active proposal. \n",
"\n",
"In the 1Hive use case for conviction, proposals map to precise quantities of resources $r$ requested from a communal resource pool $R$ (which is time varying $R_t$ but we will drop the subscript for ease of reading). Furthermore, there is a supply of governance tokens $S$ which are being used as part of the goverance process. In the implementation the quantity $S$ will be the effective supply which is the subset of the total Supply for the governance token in question. \n",
"\n",
"We assume a time varying supply $S_t$ and thereforewe can interpret $S_t$ as the effective supply without loss of generality. From here forward, we will drop the subscript and refer to $S$ for ease of reading. The process of passing a proposal results in an allocation of $r$ funds as shown in the figure below.\n",
"\n",
"![](images/stockflow_cv_trigger.png)\n",
"\n",
"The trigger function is characterized by a set of parameters in addition to the current state of the system: $R$ and $S$. Those parameters are $\\alpha$, $\\beta$ and $\\rho$.\n",
"\n",
"* $\\alpha \\in (0,1)$ is the conviction rate parameter defined in the [Deriving Alpha notebook](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Deriving_Alpha.ipynb) and should be tuned according to a desired half life.\n",
"\n",
"* $\\beta\\in (0,1)$ is the asymptotic limit for trigger function. It is impossible to discharge more than $\\beta$ share of funds. \n",
"\n",
"* $\\rho \\in (0, \\beta^2)$ is a the scale factor for trigger function. Note that we require $0<\\rho <\\beta^2$ \n",
"\n",
"The trigger function is defined by: $y^*(r) = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta^2 - \\frac{r}{R}\\right) }$\n",
"\n",
"The geometric properties of this function with respect to the parameter choices are shown here:\n",
"\n",
"![](images/trigger_geometry.png)\n",
"\n",
"On this plot we can see that there is a maximum conviction that can be reached for a proposal, and also a maximum achievable funds released for a single proposal, which are important bounds for a community to establish for their funding pool.\n",
"\n",
"Note that by requiring that: $0<\\rho <\\beta^2$ the following holds $0<\\frac{\\rho}{\\beta^2}<1$ and $0<\\beta - \\sqrt \\rho <\\beta <1$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\")\n",
"\n",
"from cadCAD.configuration.utils import config_sim\n",
"from model.parts.utils import *\n",
"from model.parts.sys_params import * "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reader Tutorial:\n",
"\n",
"Feel free to pull parameters out of the existing files or use this notebook to ovewrite them with your own choices to see how the plots are affected."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'sentiment': 0.6, 'n': 30, 'm': 7, 'funds': 4867.21, 'supply': 22392.22}"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"initial_values"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'beta': [0.2],\n",
" 'rho': [0.0025],\n",
" 'alpha': [0.7937005259840998],\n",
" 'gamma': [0.001],\n",
" 'sensitivity': [0.75],\n",
" 'tmin': [1],\n",
" 'min_supp': [1],\n",
" 'base_completion_rate': [45],\n",
" 'base_failure_rate': [180],\n",
" 'base_engagement_rate': [0.3],\n",
" 'lowest_affinity_to_support': [0.3]}"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"params"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"supply = initial_values['supply']\n",
"funds = initial_values['funds']\n",
"\n",
"alpha = params['alpha'][0]\n",
"beta = params['beta'][0]\n",
"rho = params['rho'][0]\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def trigger(requested, funds, supply, alpha, beta, rho):\n",
" '''\n",
" Function that determines threshold for proposals being accepted.\n",
" Refactored slightly from built in to be explicit for demo\n",
" '''\n",
" share = requested/funds\n",
" if share < beta:\n",
" threshold = rho*supply/(beta-share)**2 * 1/(1-alpha)\n",
" return threshold \n",
" else: \n",
" return np.inf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simple derivations:\n",
"\n",
"We can plug in some boundary conditions to determine our minimum required and maximum achievable conviction. We can also determine the maximum achievable funds a proposal is able to request, to understand the upper bounds of individual proposal funding.\n",
"\n",
"* min_required_conviction = $y^*(0) = \\frac{\\rho S}{(1-\\alpha)\\beta^2}$\n",
"\n",
"* max_achievable_conviction = $\\frac{S}{1-\\alpha}$\n",
"\n",
"* min_required_conviction_as_a_share_of_max = $\\frac{\\rho S}{(1-\\alpha)\\beta^2} \\cdot \\frac{1-\\alpha}{S} = \\frac{\\rho}{\\beta^2}$\n",
"\n",
"* To compute the max_achievable_request solve: $\\frac{S}{1-\\alpha} = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta-\\frac{r}{R}\\right)^2}$\n",
"\n",
"* max_achievable_request = $r = (\\beta -\\sqrt\\rho)F$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"min_required_conviction =6783.893932236272\n",
"max_achievable_conviction =108542.30291578037\n",
"\n",
"min_achievable_conviction_as_a_share_of_max_achievable_conviction =0.06249999999999999\n",
"\n",
"max_achievable_request =730.0815000000001\n",
"total_funds =4867.21\n",
"\n",
"max_achievable_request_as_a_share_of_funds =0.15000000000000002\n"
]
}
],
"source": [
"min_required_conviction = trigger(0, funds, supply, alpha, beta, rho)\n",
"print(\"min_required_conviction =\"+str(min_required_conviction))\n",
"\n",
"max_achievable_conviction = supply/(1-alpha)\n",
"print(\"max_achievable_conviction =\"+str(max_achievable_conviction))\n",
"print(\"\")\n",
"print(\"min_achievable_conviction_as_a_share_of_max_achievable_conviction =\"+str(min_required_conviction/max_achievable_conviction))\n",
"print(\"\")\n",
"max_request = beta*funds\n",
"max_achievable_request = (beta - np.sqrt(rho))*funds\n",
"print(\"max_achievable_request =\"+str(max_achievable_request))\n",
"print(\"total_funds =\"+str(funds))\n",
"print(\"\")\n",
"print(\"max_achievable_request_as_a_share_of_funds =\"+str(max_achievable_request/funds))\n",
"\n",
"granularity = 100 \n",
"\n",
"requests = np.arange(0,.9*max_request, max_request/granularity)\n",
"requests_as_share_of_funds = requests/funds\n",
"conviction_required = np.array([trigger(r, funds, supply, alpha, beta, rho) for r in requests])\n",
"conviction_required_as_share_of_max = conviction_required/max_achievable_conviction\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot series 1: \"Absolute Terms\" \n",
"\n",
"These plots demonstrate the trigger function based on alpha, Supply and Funds as above."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Conviction Required to Pass')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(requests, conviction_required)\n",
"ax= plt.gca().axis()\n",
"plt.vlines(max_request, 0, ax[3], 'r', '--')\n",
"plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n",
"plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n",
"plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n",
"plt.title(\"Sample Trigger Function in Absolute Terms; Linear Scale\")\n",
"plt.xlabel(\"Resources Requested\")\n",
"plt.ylabel(\"Conviction Required to Pass\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 119396.53320735841)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 7))\n",
"plt.plot(requests, conviction_required)\n",
"ax= plt.gca().axis()\n",
"plt.vlines(max_request, 0, ax[3], 'r', '--')\n",
"plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n",
"plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n",
"plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n",
"plt.title(\"Sample Trigger Function in Absolute Terms; Linear Scale\")\n",
"plt.xlabel(\"Resources Requested\")\n",
"plt.ylabel(\"Conviction Required to Pass\")\n",
"plt.gca().set_ylim(0, max_achievable_conviction*(1.1))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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j0sZ4HcYJ8vILeGfBZnq3rU/rhOpeh/OLMWOcV4hYojDGeC5cE8WMldvJzMrltt6tvA7leJYojDEmPLz13Uaa1alG/xhtxC5kicIYY4rx05Z9LNiwh9t6t/S2X6cwYInCGGOK8fbcjVSLq8iQlDBqxPaIJQpjjCliz8EjfJSWyZVnNqN2fJzX4XjOLo81xnhu2k3TvA7hOO8t3MzhvAJu69XK61CKNy205RWRiUJEBgOD27Vr53UoxphyEB8XPv0nHc7L5+25G+nTrj5JjWt6HU7x4kNbXhFZ9WRPuDMmury88GVeXviy12EA8PGSLWzfd5i7z2vrdSgle/ll5xUiEZkojDHRZeKKiUxcMdHrMCgoUF79eh2dm9Ti3Pbhe7c4Eyc6rxCxRGGMMa4vV25n/c6D3H1+G0Ri+5JYX5YojDEGUFVenbOOxHrVuOy0Jl6HE1YsURhjDLBw416WbM7irnPbeP+o0zBjpWGMMcArs9dSr3plru0ee486LU1EXh5rjIkus1Nne7r+H9Oz+Gr1Th6+JIlqlSt6GktAZs8O6ersjMIYE/NenPkzdeLjuLVXS69DCUuWKIwxnhs5dyQj5470ZN1LM7KcJ9id05qaVSOku46RI51XiFiiMMZ4buqaqUxdM9WTdb8482dqV4sLv2dO+DN1qvMKEUsUxpiYtSwjmxkrI+xswgOWKIwxMeuFmWuoVbUSt/Vp5XUoYS0iE4WIDBaR0dnZ2V6HYoyJUIs37WHGyh0MPa8Ntexswq+ITBTWKaAx0aVaXDWqxVUL2fpUlb9/tpqEGlW4/ZzWIVtvualWzXmFSKn3UYjI/wEjgFxgOnA68HtVHRfk2IwxMeKzmz4L6fpmr9nJ9xv38MwVXYivHIG3k30W2vIK5IziYlXdBwwCNgLtgIeDGZQxxgRLQYHyf9NX06JePEN62GNOAxFIoihMt5cB76uqNQwYY8rVM3Oe4Zk5z4RkXVOWbmHl1n08eHEHKleKyNp3eOYZ5xUigZTSVBFZBXQHZopIA+BQcMMyxsSSmRtmMnPDzKCv59DRfEZ+sZpOTWox+PSmQV9f0Myc6bxCpNREoaqPAr2BFFU9ChwErgh2YMYYU97GzN1I+p5cHh/YiQoV7HkTgSo1UYjItcBRVc0XkSeAcUAEp2JjTCzadeAwL81aS7+ODTknnJ9eF4YCqXp6UlX3i8g5QH/gDeCV4IZljDHl659fruHQ0Xweu6yT16FEnEASRb779zJgtKp+ClQOXkjGmFhTP74+9ePrB235q7bt473vN3NLr5a0bVAjaOsJmfr1nVeIBHIBcaaIvAZcBPxdRKoQoTfqGWPC0+TrJgdt2arKiKkrqVk1jgf6tQ/aekJqcvDKqziBfOFfB3wOXKKqWUA97D4KY0yEmL58G9+u3cUfLupAnXirDDkZgVz1lKOqHwDZItICiANWBT0yY0zMGD5jOMNnDC/35eYcyeMvU3+ic5Na3NQzim6uGz7ceYVIIF14XA48j3Ol0w6gBU6i6BLc0IwxsWJexrygLPffs9ayNfsQL914BpUqRlGN+bzglFdJAim5Z4CzgTWq2hrnyqf5QY3KGGNO0dodB/jvN+u5pntzures53U4ES2QRHFUVXcDFUSkgqp+BaQEOS5jjDlpqspTnyynalxFHh3Q0etwIl4gVz1liUgN4GtgvIjswLk72xhjwtKHSzL5bu1unrmiCwk1qngdTsQLJFFcjtO30++Bm4DawF+CGZQxJrY0r9W83Ja1+8Bhnpn6E2e2qMNNPVuW23LDSvPyK69AlJgoRKQnMBpoCywD7lDVt0MVmD8iMhgY3K5dO69DMcaUg3FXld/jbUZ8upIDh/P429WnR29/TuNC+zggf20U/wEeAuoD/wT+FZKIAmBPuDPGFGfOmp18uCSTe85vS4dGNb0OJ2r4SxQVVPVLVT2squ8DDUIVlDEmtgybPoxh04ed0jIOHs7j8Q+X0aZBdX5zQZTXNgwb5rxCxF8bRR0RuaqkYfcmPGOMOWVp29JOeRl/+2wVmVm5TBjai6pxFcshqjCWdurlVRb+EsUcYHAJwwpYojDGhIW5a3cxdv4mbu/TmrNa2z0T5a3ERKGqvw5lIMYYczIOHM7jj5OX0jqhOg9fkuR1OFEpkMtjjTEmbD03bSWZWbm8f3cvqlWO8ionj1iiMMZ4rkP9Dif1ua9W72D8gs3ceU5rUlrFUJVTh5Mrr5MlqhrSFZanlJQUXbRokddhGGM8sPvAYS4Z9Q31q1fm4/v7RH8DdjkSkcWqGnBXTIH0HhsH3Auc546aA7yqqkdPLkRjjDk1qsqjHyxjX+5Rxt5xliWJIAukU8BXgO7Ay+7rTOyZ2caYcjR0ylCGThka8PwTFqbz5U/b+eOlSXRqUiuIkYWpoUOdV4gE0kbRQ1W7+QzPEpEfgxWQMSb2rNm9JuB51+08wF+m/kTvtvW5vU/rIEYVxtYEXl7lIZAzinwRaVs4ICJtgPzghWSMMcU7dDSf34z/gSqVKvDP65Kjty+nMBPIGcXDwFcish4QoCVwe1CjMsaYYvz105Ws2rafN1NTaFy7qtfhxIxAEsW3QHug8E6W1cELxxhjivfZsq2Mnb+Ju85tzYUdG3kdTkwJJFHMU9UzgaWFI0TkB5xGbWOMOWXJjZP9Tt+8O4dHJi+lW2IdHr7EnlhHsv/yKm/+nkfRGGgGVBORM3CqnQBqAfEhiM0YEyNGXTqqxGmHjuZz7/jFALx0wxlUrhRI02qUG1VyeQWDvzOKS4BUoDnwPL8kin3AY8ENyxhjHE99vIIVW/bxZmoKifXsN6oX/HUK+DbwtohcraqTQxiTMSbG3PzBzcCJT7qbuDCdCYvS+e2F7axdwtfNTnmF6kl3pbZRWJIwxgRbxr6ME8Yty8jmyY+Xc067BIb1D23fRmEv48TyCiar7DPGhJ2d+w8zdOwiEmpU4YXrk6lo90t4ynqPNcaElSN5Bdw3fjF7c44w6Z7e1K9RxeuQYp6/q56uKmka2KNQjTHB8ZepK1i4cS8vXJ9M12a1vQ7H4P+MovCxpw2B3sAsd/gCYC72KFRjTDnp1bwXAGPnb2Lc/M3cfV4brkhu5nFUYaxXr5CurtTnUYjIF8BtqrrVHW4CjFHVS0IQn1/2PApjosc3P+8k9a2FnN+hAa/fmmLtEkFU1udRBNKYnViYJFzbgRZljswYY0qwdscB7hv/A+0b1uDFG86wJBFmAmnMnikinwPvusNDgBnBCyk0+o7pe8K467pcx3097iPnaA4Dxw88YXpqciqpyansytnFNROvOWH6vSn3MqTrENKz07nlw1tOmP5grwcZnDSY1btWc/fUu0+Y/sR5T9C/TX/StqUxbPqwE6Y/2+9Zeif2Zm76XB6beeI9j6MuHUVy42RmrJ/BiK9HnDD9tUGvkZSQxJTVU3h+3vMnTB975VgSaycyYfkEXll04iNHJl03iYT4BMakjWFM2pgTpk+7aRrxcfG8vPBlJq6YeML02amzARg5dyRT10w9blq1uGp8dtNnADwz5xlmbph53PT68fWZfJ1zpfbwGcOZlzHvuOnNazU/dg3+sOnDSNuWdtz0DvU7MHrwaMB59kHRbq2TGycfuzv45g9uPuFyzV7Ne/Fc/+cAuHri1ezO2X3c9H6t+/Hk+U8CMGD8AHKP5h43fVCHQTzU+yHAjr2ix15+XjW2bb4ZLajCr87OZtC7/U/4vB17RY69FSuYvf48mByauxdKPaNQ1fuBV4Fu7mu0qv62vAMRkb4i8o2IvCoifct7+caY8FNQUIkdmVdy9Gh1EppNpm6NyH00c0gdPQq7d5c+XzkJ6JnZItISaK+qM0QkHqioqvsD+NybwCBgh6p29Rl/KfACUBH4r6r+TUTOBx7FqdoaoaprS1u+tVEYE7nyC5TfjP+Bz3/aRkKTj6lea82xX/6mFH37On9nzz6pj5d7G4WI3AVMAl5zRzUDPgpw+WOAS4ssryLwH2AA0Bm4QUQ6A9+o6gDgEeDPAS7fGBOh/vrpSqav2MYTl3Wmeq3QPrHNlE0gjdm/AfrgdAaIqv6Mc8lsqVT1a2BPkdFnAWtVdb2qHgHeA65Q1QJ3+l7A7rAxJoq9/vV63vxuA7f3ac0d58To40wjSCCN2YdV9YiIcxWCiFQCTqUisRmQ7jOcAfR0b/C7BKgDvFTSh0VkKDAUoEULu/jKmEgzeXEGf522kstOa8Ljl3UCnIsBTBn0C215BZIo5ojIYzjPpbgIuA+YUt6BuHd6l3oTn6qOBkaD00ZR3nEYY4Jn1qrt/HHyUvq0q88/h3Q7dhls4RVjJkBPhra8Aql6egTYCSwD7gamAU+cwjozgUSf4ebuOGNMFFu0cQ/3jf+BTk1q8totKVSpVNHrkEyA/J5RuA3PK1S1I/B6Oa1zIdBeRFrjJIjrgRvLadnGmDC0PDObX7+1kCa1q/FW6lnUqHL8V8+A8QMAjt3PYEoxwCkvPgtNefk9o1DVfGC1iJxUY4CIvAvMA5JEJENE7lDVPOB+4HNgJTBRVVeUcbmDRWR0dnb2yYRljAmhtTv2c+ub31OrWhzj7uxJg5onXquSezT3hJsUjR+5uc4rRAJpo6gLrBCR74GDhSNV9fLSPqiqN5QwfhpOFdZJUdUpwJSUlJS7TnYZxpjgS9+Tw83//Z4KIoy7syfN6lTzOiRzEgJJFNbKZIwps4y9OVw/ej6H8vJ5b+jZtE6o7nVI5iQF8ijUOaEIxBgTPbZm53Lj6wvYf+go79x1Nh0b1/I6JHMK/D246FtVPUdE9nP8fRMCqKranjfGnGD7vkPc+PoC9h48wtg7ewb08KFBHQaFILIoMii05RVQX0/hyvp6Mia8bMs+xA2vz2fHvkP8746z6N6yntchmWKUta+nUqueSrriSVU3lyWw8iQig4HB7dq18yoEY0wRW7JyueH1+ew+cMSSRJQJ5Al3y3wGqwKtgdWq2iWYgQXCziiMCQ8Ze3OOVTf9746zOKNF3TJ9vvAZHdZ7bIBC3HtsII3ZpxVZwZk43XgYYwwbdh3kptfnc+BwHuPu7Em3xDpeh2TKWSCXxx5HVX8QkZ7BCMYYE1lWb9vPzW8sIL9AeXfo2XRpWnrDtYk8gbRR/MFnsAJwJrAlaBEZYyLCsoxsbn1zAXEVKzDx7rNp17Cm1yGZIAnkjMJ37+cBnwKheVCrMSYszV23i7veXkSd+Mq8c1dPWta3m+miWSBtFGH3tDm76skY73y+Yhu/fWcJrRLi+d/tPWlcu+opL/O6LteVQ2Qx5LrQllcgVz1Nwc+DigLp8ylY7KonY0Jr4sJ0Hv1gKac3r8OYX/egTnxlr0MyJ6Hcr3oC1gONgXHu8A3AdgJ/brYxJsKpKi/NWsvzX67h3PYJvHpzd6pXKfO1MCXKOZoDQHxcfLktM6rlOOVFfGjKK5A93adI5pkiIotU9ffBCsoYEz7yC5Q/fbyc8Qs2c9UZzfjb1adTuVIgzzwL3MDxAwG7jyJgA53yOtn7KMoqkERRXUTaqOp6APeBQ9ZyZUwMyDmSxwPvpfHlT9u55/y2PHJpEiLidVgmxAJJFL8HZovIepwOAVviPBLVGBPFdu4/zJ1vL2RZZjZPD+5Map/WXodkPBLIVU/TRaQ90NEdtUpVDwc3LP/sqidjgmvtjv2kvrWQXQcO89otKVzUuZHXIRkPlVrRKCLxwMPA/ar6I9BCRDztE1hVp6jq0Nq17S5QY8rbNz/v5MqX53LoaD4ThvayJGECqnp6C1gM9HKHM4H3ganBCsoY441x8zfx1CcraNegBm+kptC8bmiuqklNTg3JeqJGampIVxdIomirqkNE5AYAVc0Ra80yJqrk5Rcw4tOVjJm7kQs7NuTFG86gRjle/loaSxRlFIaJ4oiIVMO96U5E2gKetlEYY8pPVs4R7n9nCd+u3cUd57TmsYGdqFghtL8Fd+XsAiAhPiGk641Yu5zyIiE05RVIongKmA4kish4oA+QGsygjDGh8fP2/dz5v0VszTrEP645nWtTEj2J45qJ1wB2H0XArnHKK2zuo1DVL0XkB+BsnMtjHwDs9kljItz05dt4cGIa1SpX4t2hZ9O9ZdkeNmRih99EISK9gGbA1yVlDJwAAB1vSURBVKr6qYicDrwInAt489PDGHNK8guUUTPW8O9Za+mWWIdXbz6TJrWreR2WCWMlXh4rIv8A3gSuBj4VkRHAF8ACoH1owisxtsEiMjo7O9vLMIyJOFk5R7jj7YX8e9ZahqQkMvHusy1JmFL5O6O4DDhDVQ+JSF0gHeiqqhtDEpkfqjoFmJKSknKX17EYEymWZWRzz7jF7Nx/mBG/6spNPVtYdxwmIP4SxSFVPQSgqntF5OdwSBLGmLJRVSYsTOdPn6wgoXplJt7Ti+Qwe671vSn3eh1CZLk3tOXlL1G0EZFPfIZb+w57+RwKY0xgco7k8cSHy/lgSSbntEvgxRvOoF718HuGxJCuQ7wOIbIMCW15+UsUVxQZfj6YgRhjytfP2/dz3/gfWLvzAMP6t+e3F7YP+f0RgUrPTgcgsbZdIxOQdKe8SAxNeZWYKFR1TkgiMMaUK1Xl/UUZPPXJCqpXqci4O3rSp11438h2y4e3AHYfRcBuccorbO6jMMZEjv2HjvLER8v5OG0LvdvWZ9SQZBrWOvVnWpvYZonCmCiRlp7FA+8tIX1PDg9e1IH7LmgXtlVNJrJYojAmwuUXKK/OWce/vlxDo1pVeW9oL85qXc/rsEwUKTVRiEgHnOdRtPSdX1UvDGJcxpgAZGbl8uDENOav38Nlpzfh2StPo3a1OK/DMlEmkDOK94FXgdeB/OCGExh7wp0x8HFaJk98tJz8AuX/rj6da1OaR+wNdA/2etDrECLLg6EtL1FV/zOILFbV7iGKp0xSUlJ00aJFXodhTEhl5xzlyY+X88mPWzizRR3+NSSZlvWrex2WiSDu93pKoPMHckYxRUTuAz7E5zkUqrrnJOIzxpyCOWt28sdJP7L7wBH+cFEH7uvblkoVS32icdhbvWs1AEkJSR5HEiFWO+VFUmjKK5BEcZv792GfcQq0Kf9wjDHFOXg4j2enrWT8gs20b1iD/97ag9OaR88z4++eejdg91EE7G6nvMLmPgpVbR2KQIwxxZu7bhd/nLSUzKxc7jynNQ9dkkTVuIpeh2ViSCBXPcUB9wLnuaNmA6+p6tEgxmVMzDtwOI+/f7aKsfM30ap+PBPv7kWPVnbZqwm9QKqeXgHigJfd4VvccXcGKyhjYt03P+/k0cnL2JKdy+19WvPwJUlUq2xnEcYbgSSKHqrazWd4loj8GKyAjIll2TlH+eu0n5i4KIM2Daoz6Z5edG9pZxHGW4EkinwRaauq6wBEpA1hcj+FMdFCVZm2bBtPfbKCvTlHuLdvWx7o1z5m2iKeOO8Jr0OILE+EtrwCSRQPA1+JyHpAcO7Q/nVQozImhmzJyuVPH69gxsrtnNasNmN+3YOuzaLniqZA9G/T3+sQIkv/0JZXIFc9zRSR9kDhBburVfWwv88YY0qXX6C8PXcjz3+xmnxVHhvYkdv7tI6K+yLKKm1bGgDJjZM9jiRCpDnlRXJoyqvERCEiF6rqLBG5qsikdiKCqn4Q5NiMiVpLM7J4/MPlLMvMpm9SA565oiuJ9eK9Dsszw6YPA+w+ioANc8orHO6jOB+YBQwuZpoCliiMKaPs3KOM/Hw14xZsIqFGFV668QwuO61JxPbRZGKDvyfcPeW+/YuqbvCdJiKe3oRnnQKaSKOqfLgkk2enrWLPwcPc1qsVf7i4A7WqWk+vJvwF0pg9GTizyLhJgGcdBarqFGBKSkrKXV7FYEygVm7dx58+Xs7CjXtJTqwTk43VJrL5a6PoCHQBahdpp6gF2LMVjSlFds5R/jVjDWPnb6JW1Ur8/erTuLZ7IhXsqXMmwvg7o0gCBgF1OL6dYj9gv+SNKUF+gTJxUTr/+Hw1WTlHuLFnCx66OIk68ZW9Di1sPdvvWa9DiCzPhra8/LVRfAx8LCK9VHVeCGMyJmJ9v2EPf56yghVb9nFWq3o8dXlnujS1aqbS9E7s7XUIkaV3aMsrkDaKe0RkpapmAYhIXeB5Vb09uKEZEznS9+Twt+mr+HTpVprUrsoL1ydzebemdjVTgOamzwUsYQRsrlNeoUoYgSSK0wuTBICq7hWRM4IYkzERY/+ho7w8ex1vfLuBCgLD+rfn7vPaWgd+ZfTYzMcAu48iYI855RUO91EUqiAidVV1L4CI1Avwc8ZErbz8AiYuyuCfX65m14EjXHlGMx6+JImmdap5HZox5S6QL/zngXki8j5OX0/XAH8NalTGhClVZfbqnTw7bSU/7zhAj1Z1eeO2HnRLrON1aMYETSB9Pf1PRBYBF7qjrlLVn4IbljHhZ2lGFs9NW8W89btpVT+eV2/uziVdGlk7hIl6/u6jqKWq+9yqpm3AOz7T6qnqnlAEaIzXNu0+yMgv1jDlxy3Uq16Zpwd35saeLalcKfY67zOxyd8ZxTs491EsxunbqZC4w22CGJcxntux/xAvzVrLOws2E1exAr+9sB1Dz2tDTet2o9yNunSU1yFEllGhLS9/91EMcv962q+TMaGWnXuU/36znje+3cDhvAKu75HIA/3a07CWdUgQLNa9eBmFqHvxQqW2UYjIJ8C7wMeqmhP8kIzxRu6RfMbM3circ9aRnXuUy05vwkMXJ9E6obrXoUW9GetnAPYAo4DNcMorVA8wCvSqpyHA30RkIfAeMFVVDwU1MmNC5HBePu8u2MxLX61j14HDXJDUgAcvTrKO+0JoxNcjAEsUARvhlFfYJApVnQPMEZGKOFc+3QW8idM5oDER60heAe8vTuc/s9ayJfsQPVvX45Wbz6RHq3peh2ZMWAnoxjkRqYbTMeAQnC7H3w5mUMYE09H8AiYvzuDfs9aSmZXLGS3q8I9ru9G7bX271NWYYgTSRjEROAuYDrwEzFHVgmAHZkx5O5pfwAc/OAkiY28u3ZrXZsSVXenboYElCGP8COSM4g3gBlXND3YwgbIn3JmyOJJXwOQfMvjPV06COL15bf58eRcu7NjQEoQxARBVLX0mkd5AK3wSi6r+L3hhBSYlJUUXLVrkdRgmTB06ms/ERem8OnsdW7IP0a15bYb170DfJDuDCDerd60GICkhyeNIIsRqp7xIOrnyEpHFqpoS6PyBVD2NBdoCaUDhWYUCnicKY4pz8HAe7yzYzOvfrGfH/sN0b1mX564+nfPaJ1iCCFOWIMroJBPEyQqk6ikF6KyBnHoY46HsnKO8PW8jb323gb05R+nVpj6jhiTTyxqpw96U1VMAGJw0uJQ5DQBTnPJicGjKK5BEsRxoDGwNcizGnJQd+w7xxrcbGDd/EweP5HNhx4b85oJ2dG9Z1+vQTICen/c8YIkiYM875RVOiSIB+ElEvgcOF45U1cuDFpUxAdiw6yCjv17H5MWZ5BUUMOj0ptzbty2dmtgtPsaUp0ASxdPBDsKYskhLz+K1OeuYvmIbcRUrcG1Kc+46tw2trKsNY4IioDuzRaQR0MMd9b2q7ghuWMYcr6BAmb1mB6/NWc+CDXuoWbUS957fll/3aU2DmlW8Ds+YqBbIVU/XAf8AZuN0Mf5vEXlYVScFOTZjOHQ0n4+WZPL6N+tZt/MgTWtX5YnLOnH9WS2oUcWeyGtMKATyn/Y40KPwLEJEGgAzAEsUJmh2HTjMuPmbGDd/E7sOHKFL01q8cH0yA09rQlxFe2BQtBl75VivQ4gsY0NbXoEkigpFqpp2A/afaoJi9bb9vPXdBj5YksmRvAIu7NiQO89pbZe4RrnE2olehxBZEkNbXoEkiuki8jnOMynA6Rjws+CFZGJNYfvDm99u5Nu1u6gaV4Frujfn9j6tadewhtfhmRCYsHwCAEO6DvE4kggxwSkvhoSmvAJpzH5YRK4CznFHjVbVD4MblokF+w8dZdLiDN6eu5GNu3NoXKsqf7w0iRt6tKBu9cpeh2dC6JVFrwCWKAL2ilNenicKEWkHNFLV71T1A+ADd/w5ItJWVdeFJEITddbtPMD/5m5k8g+ZHDicR/eWdXnw4iQu7drY2h+MCUP+zihGAcOLGZ/tTrNbKE3A8guUWat28L95G/nm511UrliBQac34bbereiWWMfr8IwxfvhLFI1UdVnRkaq6TERaBS0iE1V2HzjMhEXpjJ+/mcysXBrXqspDF3fg+rNakFDD7n8wJhL4SxT+fuZVK+9ATPRQVX7YvJdx8zfz6dKtHMkvoFeb+jw5qBP9OzWiklUvGRNR/CWKRSJyl6q+7jtSRO4EFgc3LBOJ9h86ykdpWxg/fxOrtu2nZpVK3NizBTf1bEH7RjW9Ds+EsUnX2W1ZZTIptOXlL1EMAz4UkZv4JTGkAJWBK4MdmIkcyzKyeef7TXyctoWcI/l0aVqLZ688jSuSm1Ld7p42AUiIT/A6hMiSENryKvG/WFW3A71F5AKgqzv6U1WdFZLITFjbf+gon/y4hXe/38zyzH1UjavA4NObctPZLenWvLbdHGfKZEzaGABSk1M9jSNijBnj/E1NDcnqArmP4ivgqxDEYsKcqpKWnsV736czZalz9tCxcU3+fHkXfnVGM2pXi/M6RBOhLFGUUbglCmP2HjzCh0symbAwndXb91MtriKDuzXhhrNakJxYx84ejIlylihMsfILlG/X7mLiwnS+/Gk7R/IL6JZYh+euOo1BpzehZlU7ezAmVliiMMfZtPsgkxZnMGlxBluzD1EnPo6bzm7BdSmJ9uQ4Y2KUJQrDwcN5TFu2lUmLM1iwYQ8VBM5t34DHL+vERZ0bUaVSRa9DNMZ4yBJFjCooUOav382kHzKYvnwbOUfyaZ1QnYcvSeKqM5vRpLbdU2lCZ9pN07wOIbJMC215WaKIMet2HuDDHzL5cEkmmVm51KxSicu7NeXalOac2aKuNUwbT8THxXsdQmSJD215hVWiEJHqwBzgaVWd6nU80WL3gcNMXbqVD5Zk8mN61rGqpUcGdOTizo2oGmdVS8ZbLy98GYD7etzncSQR4mWnvLgvNOUV1EQhIm8Cg4AdqtrVZ/ylwAtAReC/qvo3d9IjwMRgxhQrco/kM2Pldj5aksmcNTvJK1A6NanFE5d14vJuTWlYq6rXIRpzzMQVzr+9JYoATXS/JqMhUQBjgJeA/xWOEJGKwH+Ai4AMYKGIfAI0A34C7BvsJOUXKHPX7eKjJVv4fMU2DhzOo3GtqtxxbmuuPKMZHRvbVUvGmLILaqJQ1a+L6ZL8LGCtqq4HEJH3gCuAGkB1oDOQKyLTVLUgmPFFA1Xlx4xsPk7LZMqPW9l14DA1q1Ri4GmN+dUZzejZuj4VK1i7gzHm5HnRRtEMSPcZzgB6qur9ACKSCuwqKUmIyFBgKECLFi2CG2kYW7N9P5+kbWHK0i1s2p1D5YoVuLBjQ65IbsoFHRtau4MxptyEVWM2gKqOKWX6aGA0QEpKioYipnCxafdBpi7dyidpW1i9fT8VBPq0S+A3F7Tjki6Nra8lY0xQeJEoMoFEn+Hm7jhTjIy9OXy6dCtTl25lWWY2ACkt6/Lny7sw4LTGNKxpTTom8s1One11CJFl9uyQrs6LRLEQaC8irXESxPXAjR7EEba2Zufy6dKtfLpsK0s2ZwFwevPaPDawIwNPa0LzunbNuTEmdIJ9eey7QF8gQUQygKdU9Q0RuR/4HOfy2DdVdUUZlzsYGNyuXbvyDtkzW7JymbZsK9OWbeUHNzl0aVqLP16axGWnNaFl/eoeR2hM8IycOxKAh3o/5HEkEWKkU148FJryEtXIreZPSUnRRYsWeR3GSUvfk8P05duYtvyXM4dOTWpx2WmNGXhaE9o0qOFxhMaERt8xfQGrggpY377O35OsghKRxaqaEuj8YdeYHe3W7zzAZ8u3MX35tmNtDl2b1eLhS5IY0LWxJQdjTNixRBFkqsqqbfuZ7iaH1dv3A9AtsQ6PDujIgK6NrVrJGBPWLFEEQUGBsiQ9i89XbOPzFdvYtDsHEejRqh5PDurMpV0b06yO9c5qjIkMlijKyZG8Auat383nK7bx5U/b2bn/MHEVhd5tE7j7vLZc1LkRDWpW8TpMY8JStTj74VQm1UJbXhHZmO1z1dNdP//8s2dx7Dt0lNmrd/LFim3MXr2TA4fziK9ckQuSGnJR50Zc2KkhteyRocaYMFPWxuyITBSFvLjqKTMrlxk/befLn7Yzf/1u8gqUhBqV6d+pERd1bkSfdgnWfYYxJqzZVU/lrKBAWb4lmxk/bWfGyh38tHUfAG0aVOeOc1tzcedGJCfWtY73jDkFz8x5BoAnz3/S40gixDNOefFkaMrLEkUxco/k893aXcxctZ2ZK3ewY/9hKgh0b1mXxwZ2pF+nRrS1y1iNKTczN8wELFEEbKZTXpYoQiwzK5dZq3bw1aodfLd2F4fzCqheuSLnJzWgX8dGXNCxIfWqV/Y6TGOMCbmYTRR5+QUsSc/iq1U7mLVqB6u2Ofc3tKgXz409W9CvYyPOal2PypUqeBypMcZ4KyITxan29TR23kaemrSIgrhqoAVU2Z9B3b3ruers9jzxu7vIzc1l4MCBJ3wuNTWV1NRUdu3axTXXXHPC9HvvvZchQ4aQnp7OLbfccsL0Bx98kMGDB7N69WruvvvuE6Y/8cQT9O/fn7S0NIYNG3bC9GeffZbevXszd+5cHnvssROmjxo1iuTkZGbMmMGIESNOmP7aa6+RlJTElClTeP75508sl7FjSUxMZMKECbzyyisnTJ80aRIJCQmMGTOGMWPGnDB92rRpxMfH8/LLLzNx4olPtJ3tdjcwcuRIpk49/pHo1apV47PPPgPgmWeeYWbhqbWrfv36TJ48GYDhw4czb96846Y3b96ccePGATBs2DDS0tKOm96hQwdGjx4NwNChQ1mzZs1x05OTkxk1ahQAN998MxkZGcdN79WrF8899xwAV199Nbt37z5uer9+/XjSrQYYMGAAubm5x00fNGgQD7n98vQt7H7Bx3XXXcd9991HTk5OTB57hwYfomr9qnbsBXrspaUxOzn5hO0MlohMFKo6BZiSkpJy18l8vlGtqlTLWkf83vVUzd5IxfzDANSPa42INUobE2p1q9UlPj4eIvcizNCKi4P69UO2Ors81hhjYkxZL4+1CnhjjDF+WaIwxnhu+IzhDJ8x3OswIsfw4c4rRCKyjcIYE13mZcwrfSbzi3mhLa+IPKMQkcEiMjo7O9vrUIwxJupFZKJQ1SmqOrR27dpeh2KMMVEvIhOFMcaY0LE2CmOM55rXau51CJGleWjLy+6jMMaYGBNTz6MQkZ3AppP8eAKwqxzDiSSxuu2xut0Qu9seq9sN/re9pao2CHRBEZ0oToWILCpLRo0msbrtsbrdELvbHqvbDeW77daYbYwxxi9LFMYYY/yK5UQx2usAPBSr2x6r2w2xu+2xut1Qjtses20UxhhjAhPLZxTGGGMCYInCGGOMXzGZKETkUhFZLSJrReRRr+MpTyKSKCJfichPIrJCRB5wx9cTkS9F5Gf3b113vIjIi25ZLBWRM73dglMjIhVFZImITHWHW4vIAnf7JohIZXd8FXd4rTu9lZdxnyoRqSMik0RklYisFJFeMbTPf+8e68tF5F0RqRqN+11E3hSRHSKy3GdcmfexiNzmzv+ziNwWyLpjLlGISEXgP8AAoDNwg4h09jaqcpUHPKiqnYGzgd+42/coMFNV2wMz3WFwyqG9+xoKnPjA4sjyALDSZ/jvwL9UtR2wF7jDHX8HsNcd/y93vkj2AjBdVTsC3XDKIOr3uYg0A34HpKhqV6AicD3Rud/HAJcWGVemfSwi9YCngJ7AWcBThcnFL1WNqRfQC/jcZ3g4MNzruIK4vR8DFwGrgSbuuCbAavf9a8ANPvMfmy/SXkBz95/lQmAqIDh3plYquu+Bz4Fe7vtK7nzi9Tac5HbXBjYUjT9G9nkzIB2o5+7HqcAl0brfgVbA8pPdx8ANwGs+44+br6RXzJ1R8MuBVSjDHRd13NPqM4AFQCNV3epO2gY0ct9HU3mMAv4IFLjD9YEsVc1zh3237dh2u9Oz3fkjUWtgJ/CWW+32XxGpTgzsc1XNBEYCm4GtOPtxMbGx36Hs+/ik9n0sJoqYICI1gMnAMFXd5ztNnZ8SUXVdtIgMAnao6mKvY/FAJeBM4BVVPQM4yC9VEEB07nMAt9rkCpxk2RSozonVMzEhmPs4FhNFJpDoM9zcHRc1RCQOJ0mMV9UP3NHbRaSJO70JsMMdHy3l0Qe4XEQ2Au/hVD+9ANQRkcLu9H237dh2u9NrA7tDGXA5ygAyVHWBOzwJJ3FE+z4H6A9sUNWdqnoU+ADnWIiF/Q5l38cnte9jMVEsBNq7V0VUxmn4+sTjmMqNiAjwBrBSVf/pM+kToPAKh9tw2i4Kx9/qXiVxNpDtcyobMVR1uKo2V9VWOPt0lqreBHwFXOPOVnS7C8vjGnf+iPzFrarbgHQRSXJH9QN+Isr3uWszcLaIxLvHfuG2R/1+d5V1H38OXCwidd2zsYvdcf553TjjUYPQQGANsA543Ot4ynnbzsE5/VwKpLmvgTj1sDOBn4EZQD13fsG5CmwdsAzn6hHPt+MUy6AvMNV93wb4HlgLvA9UccdXdYfXutPbeB33KW5zMrDI3e8fAXVjZZ8DfwZWAcuBsUCVaNzvwLs47TBHcc4i7ziZfQzc7m7/WuDXgazbuvAwxhjjVyxWPRljjCkDSxTGGGP8skRhjDHGL0sUxhhj/LJEYYwxxi9LFCYsiEi+iKS5PYBOEZE6XsdUHsJtu0Skr4j0PonPbRSRhGDEZMKfJQoTLnJVNVmdHkD3AL8JdQBuz8LlzfPtKqIvUOZEYWKbJQoTjubhdlQmIm1FZLqILBaRb0Skozv+WvdX+o8i8rU7rqqIvCUiy9zO8S5wx6eKyEuFCxeRqSLS131/QESeF5EfgV4icqvbf/+PIjLWnaeBiEwWkYXuq487/nz3bCHNXV/Nctiu1iIyz92GESJywB3fV9xnbLjDL4lIqvu+u4jMcZf1uU+XDr8T57kkS0XkPbeTyHuA37sxn+tn2+qLyBfiPOfhvzg3cJlY5fXdhvayl6oCHHD/VsS5c/ZSd3gm0N593xOnywVw7jZt5r6v4/59EHjTfd8Rp3uHqkAq8JLPuqYCfd33Clznvu+Cc8d+gjtceJfrO8A57vsWON2jAEwB+rjva+B2a32K2/UJcKv7/jc+n++Le7e5O/ySu11xwFyggTt+iE8ZbOGXO5ILy+hp4CGf5ZS0bS8Cf3LfX+aWU4LXx4m9vHkVdppljNeqiUgazi/ulcCX4vSA2xt43+nGB3C6ZwD4DhgjIhNxOoIDp/uSfwOo6ioR2QR0KGW9+TgdKILTkeD7qrrLXcYed3x/oLNPDLXc2L4D/iki44EPVDWjHLarD3C1+34spT9YJwno6i4XnIRU2G/TUmC8iHyE061HcUratvOAq9xy+FRE9pYSh4lilihMuMhV1WQRicfppOw3OE/0ylLV5KIzq+o9ItIT59fuYhHp7mfZeRxfzVrV5/0hVc0vJbYKwNmqeqjI+L+JyKc4fWl9JyKXqOqqU9kuV3H96pS0DQKsUNVexXzmMpwv/MHA4yJyWqDb5pM4jLE2ChNeVDUH59GWDwI5wAYRuRaOPQe4m/u+raouUNU/4Ty0JxH4BrjJnd4BpyplNbARSBaRCiKSiPMIyOLMAq4VkfruMuq5478Afls4k4gk+8SwTFX/jtMrccdT3S6cs5Tr3fc3+SxiE84v/yrulVP93PGrgQYi0stdVpyIdBGRCkCiqn4FPILTnXYNYD/g25ZS7LYBXwM3uuMG4HQyaGKUJQoTdlR1CU61yQ04X5Z3uI3NK3AeUgPwD7fBdzlOHf2PwMtABRFZBkwAUlX1MM6X7wac7qdfBH4oYb0rgL8Cc9z1FXbT/jsgxW0U/gmnQRhgmNugvhSnR8/PymG7HsB5zvkyfJ48pqrpwEScHlInAkvc8Udwusv+u7usNJxqrYrAOHc5S4AXVTULp13lysLGbD/b9mfgPBFZgVMFtdnftpnoZr3HGhPGROSAqtbwOg4T2+yMwhhjjF92RmGMMcYvO6MwxhjjlyUKY4wxflmiMMYY45clCmOMMX5ZojDGGOPX/wNQFCzHYtt9+wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(requests, conviction_required)\n",
"ax= plt.gca().axis()\n",
"plt.vlines(max_request, 0, ax[3], 'r', '--')\n",
"plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n",
"plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n",
"plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n",
"plt.title(\"Sample Trigger Function in Absolute Terms; Log Scale\")\n",
"plt.xlabel(\"Resources Requested\")\n",
"plt.ylabel(\"Conviction Required to Pass\")\n",
"plt.gca().set_yscale('log')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3391.946966118136, 217084.60583156074)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 7))\n",
"plt.plot(requests, conviction_required)\n",
"ax= plt.gca().axis()\n",
"plt.vlines(max_request, 0, ax[3], 'r', '--')\n",
"plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n",
"plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n",
"plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n",
"plt.title(\"Sample Trigger Function in Absolute Terms; Log Scale\")\n",
"plt.xlabel(\"Resources Requested\")\n",
"plt.ylabel(\"Conviction Required to Pass\")\n",
"plt.gca().set_yscale('log')\n",
"plt.gca().set_ylim(min_required_conviction/2, max_achievable_conviction*2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot series 2: \"Relative Terms\" \n",
"\n",
"This set of plots looks at what happens when we knock out the dependence on alpha and supply, as well as treating requests as share of total funds."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Conviction Required to Pass as share of max achievable')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n",
"ax= plt.gca().axis()\n",
"plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n",
"plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n",
"plt.hlines(1, 0, max_request/funds, 'g', '--')\n",
"plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n",
"plt.title(\"Sample Trigger Function in Relative Terms; Linear Scale\")\n",
"plt.xlabel(\"Resources Requested as a share of Total Funds\")\n",
"plt.ylabel(\"Conviction Required to Pass as share of max achievable\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 1.1)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 7))\n",
"plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n",
"ax= plt.gca().axis()\n",
"plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n",
"plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n",
"plt.hlines(1, 0, max_request/funds, 'g', '--')\n",
"plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n",
"plt.title(\"Sample Trigger Function in Relative Terms; Linear Scale\")\n",
"plt.xlabel(\"Resources Requested as a share of Total Funds\")\n",
"plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n",
"plt.gca().set_ylim(0, 1.1)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n",
"ax= plt.gca().axis()\n",
"plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n",
"plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n",
"plt.hlines(1, 0, max_request/funds, 'g', '--')\n",
"plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n",
"plt.title(\"Sample Trigger Function in Relative Terms; Log Scale\")\n",
"plt.xlabel(\"Resources Requested as a share of Total Funds\")\n",
"plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n",
"plt.gca().set_yscale('log')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.031249999999999997, 2)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 7))\n",
"plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n",
"ax= plt.gca().axis()\n",
"plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n",
"plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n",
"plt.hlines(1, 0, max_request/funds, 'g', '--')\n",
"plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n",
"plt.title(\"Sample Trigger Function in Relative Terms; Log Scale\")\n",
"plt.xlabel(\"Resources Requested as a share of Total Funds\")\n",
"plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n",
"plt.gca().set_yscale('log')\n",
"plt.gca().set_ylim(min_required_conviction/max_achievable_conviction/2,2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot series 3: Heat Maps\n",
"\n",
"The next set of plots show the simultaneous variation of multiple parameters with a focus on alpha and supply.\n",
"\n",
"Note: that i am using params stored in the supporting files, this won't have changed even if you have edited the plots above"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"{'beta': [0.2],\n",
" 'rho': [0.0025],\n",
" 'alpha': [0.7937005259840998],\n",
" 'gamma': [0.001],\n",
" 'sensitivity': [0.75],\n",
" 'tmin': [1],\n",
" 'min_supp': [1],\n",
" 'base_completion_rate': [45],\n",
" 'base_failure_rate': [180],\n",
" 'base_engagement_rate': [0.3],\n",
" 'lowest_affinity_to_support': [0.3]}"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"params"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"supply_sweep = trigger_sweep('effective_supply',trigger, params, supply)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"alpha_sweep = trigger_sweep('alpha',trigger, params, supply)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x1440 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"trigger_grid(supply_sweep, alpha_sweep)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These plots demonstrate that the trigger functions the share of of max conviction required to pass a proposal remains constant under variations in both alpha and effective supply -- both of these variables scale the the conviction required to pass a proposal and the max conviction possible by the same amount."
]
}
],
"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
}