Aragon_Conviction_Voting/models/v3/Trigger_Function_Explanation.ipynb

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   "cell_type": "markdown",
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    "tags": []
   },
   "source": [
    "# Transforming Continuous Values to Discrete Events\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. 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). Further more 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. We assume a time varying supply $S_t$ and thereforewe can interpret $S_t$ as the effective supply without loss of generality. Furthermore we 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 [LINK TO Deriving Alpha] and should be tuned according to a desired half life.\n",
    "\n",
    "$\\beta\\in (0,1)$ is the assymptotic limit for trigger function. It is impossible to discharge more $\\beta$ 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:\n",
    "\n",
    "$y^*(r) = y^*(r) = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta^2 - \\frac{r}{R}\\right) }$\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",
    "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": [
    "Pull params 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": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "{'initial_sentiment': 0.6,\n 'n': 30,\n 'm': 7,\n 'initial_funds': 4867.21,\n 'supply': 22392.22}"
     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "source": [
    "initial_values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "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]}"
     },
     "metadata": {},
     "execution_count": 73
    }
   ],
   "source": [
    "params"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "supply = initial_values['supply']\n",
    "funds = initial_values['initial_funds']\n",
    "\n",
    "alpha = params['alpha'][0]\n",
    "beta = params['beta'][0]\n",
    "rho = params['rho'][0]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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",
    "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: \n",
    "\n",
    "$\\frac{S}{1-\\alpha} = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta-\\frac{r}{R}\\right)^2}$\n",
    "\n",
    "max_achievable_request = $r = (\\beta -\\sqrt\\rho)F$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "min_required_conviction =6783.893932236272\nmax_achievable_conviction =108542.30291578037\n\nmin_achievable_conviction_as_a_share_of_max_achievable_conviction =0.06249999999999999\n\nmax_achievable_request =730.0815000000001\ntotal_funds =4867.21\n\nmax_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": [
    "First set of plots in \"Absolute Terms\" based on alpha, Supply and Funds as above"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Text(0, 0.5, 'Conviction Required to Pass')"
     },
     "metadata": {},
     "execution_count": 32
    },
    {
     "output_type": "display_data",
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iGwBmtlTSdKLCqQy4IjxDAqJOKacCbYE5YYCo4cKjklYSnelMDNsqkHQz8FZY7iYzK2jMA3XOOZcY7yQ0GD16tHnPBc41fS998hIA44eMT3EkTcRLUX4xvn75JWmRmY2uyzreZY5zrlm55Z/RA1W94EnQLeEBtPUseOrDu8xxzjmXVF7wOOecSyoveJxzziWVFzzOOeeSyhsXOOealfvPuD/VITQt9yc/v7zgcc41KyO7j6x9oTRQtLuc5fk7GNqjHR3aZKcukJHJzy+vanPONSuzls9i1vJZqQ6jVis37OSse/7Dgo83pzaQWbOiIYn8jMc516zcueBOACaMnJDiSGqWv70YgJ4d26Q2kDuj/GJC8vLLz3iccy4FNuwoAaBXx9YpjiT5vOBxzrkUyN9ejATd23vB45xzLgk27CimW7vWZGe2vJ/hlnfEzjmXBvK3l7TIajbwxgXOuWbm0a8/muoQEpK/vZheqW5YAPBo8vPLCx7nXLMyoNOA2hdKA/nbSzi8f6dUhwEDkp9fXtXmnGtWpr0/jWnvT0t1GDUqLa9g864SenZIgzOeadOiIYn8jMc516zct/A+AM4/9PwUR1K9TTtLMCM9qtrui/KL85OXX37G45xzSZa/veXewwNe8DjnXNLt6bUgHaraUsALHuecS7INoeDxMx7nnHNJkb+9hAxBtxbYawF44wLnXDMz47wZqQ6hVvnbi+nRoTWZGUp1KDAj+fnlBY9zrlnpntM91SHUasOOkvRo0QbQPfn55VVtzrlmZeriqUxdPDXVYdQof3tx+jQsmDo1GpLICx7nXLPSFAqe6IwnTa7vNLeCR9KnkpZIWixpYUjrKmmupBXhtUvc8tdKWilpuaRT4tKPCttZKeluSQrprSVNC+lvSBoUt86ksI8VkiY15nE651yiSsrKKdi1O32q2lIgGWc8XzGzUWY2OkxfA8wzs+HAvDCNpIOBicAhwKnAvZIywzr3AVOA4WE4NaRfAmwxs2HA74Bfh211BW4EjgWOAW6ML+Cccy5VNrbgB8DFpKKq7Uzg4TD+MHBWXPqTZlZiZquAlcAxkvoAHc1sgZkZ8EildWLbmgGMC2dDpwBzzazAzLYAc/m8sHLOuZSJ9VqQ8kdep1BjFzwG/EPSIklTQlovM1sHEF57hvR+QG7cunkhrV8Yr5y+1zpmVgZsA7rVsK29SJoiaaGkhRs3bqz3QTrnXKL23DyaLo0LUqCxm1OfYGZrJfUE5kr6sIZlq2rQbjWk13edzxPMHgAeABg9evQ+851zTc/zFzyf6hBqtKe7nHSpans++flV6xmPpN9I6igpW9I8SZskXZjIxs1sbXjdADxDdL0lP1SfEV43hMXzgPgHQ/QH1ob0/lWk77WOpCygE1BQw7acc81cTnYOOdk5qQ6jWvk7SsjKEF1zWqU6lEhOTjQkUSJVbSeb2XbgDKIf9BHAT2tbSVI7SR1i48DJwPvAc0Csldkk4Nkw/hwwMbRUG0zUiODNUB23Q9Jx4frNxZXWiW3rXODlcB3oReBkSV1Co4KTQ5pzrpm79617ufete1MdRrWie3hak5EOvRYA3HtvNCRRIlVt2eH1dOAJMysIrZlr0wt4JiybBfzVzF6Q9BYwXdIlwGrgGwBmtlTSdOADoAy4wszKw7YuA6YCbYE5YQB4EHhU0kqiM52JYVsFkm4G3grL3WRmBYkE7Zxr2qYvnQ7A5UdfnuJIqrZhe0l6NSyYHuUXlycvvxIpeGaFazNFwOWSegDFta1kZp8AX6gifTMwrpp1fgX8qor0hcChVaQXEwquKuY9BDxUW5zOOZdM+duLGdKjXarDSKlaq9rM7BpgDDDazEqBXUTNmJ1zztVR/vbiFn3zKCTWuOAbQJmZlUu6HngM6NvokTnnXDNTXFrO9uIyL3gSWOYGM9sh6YtEN2Y+TNSTgHPOuTrYELt5tEOaNKVOkUSu8cQu8H8VuM/MnpX0i8YLyTnn6m/+5PmpDqFa6/fcw5NGZzzz5yd9l4mc8ayRdD9wHvC8pNYJrueccy5ObkEhAP27tE1xJKmVSAFyHtE9MKea2VagKwncx+Occ6lwx2t3cMdrd6Q6jCrlbokKnn6d06jgueOOaEiiRFq1FZrZ08A2SQOJ7uupqesb55xLmdkfzWb2R7NTHUaVcguK6N2xDW2yM2tfOFlmz46GJEqkVdvXJK0AVgGvhtc5Na/lnHOustwthQzomkZnOymSSFXbzcBxwEdmNhgYD/ynUaNyzrlmKLegkAFd0rcfuWRJpOApDb0NZEjKMLNXgFGNHJdzzjUrJWXlrN9eTP+uXvAk0px6q6T2wD+BxyVtIOpLzTnn0k7b7PSsylq7tRgzGJhuBU/b5OdXIgXP14j6ZvsxcAHRowduasygnHOuvuZckJ6XoGNNqQekW1PqOcnPr2oLHknHEj0kbSiwBLjEzB6ubnnnnHPVWx0reNLtjCcFarrGcw9wNdGjpH8L/C4pETnn3H64+dWbufnVm1Mdxj5ytxTSKjMj/fppu/nmaEiimgqeDDOba2YlZvYU0CNZQTnnXH3NWzWPeavmpTqMfeQVFNGvS1sy0+UBcDHz5kVDEtV0jaezpLOrmw43lTrnnEtA7pbCFt9VTkxNBc+rwIRqpg3wgsc55xK0uqCQ0w/rk+ow0kK1BY+ZfTuZgTjnXHO1o7iUrYWl6deUOkUSaU7tnHNNRrecbqkOYR+5BUUA6dlrQbfk55cXPM65ZmXmeTNTHcI+Yr1Sp2U/bTOTn1/+XB3nnGtksZtHvaotUusZj6Rs4DLgxJD0KvBHMyttzMCcc64+rn3pWgBuG39biiP5XG5BIR1aZ9GpbXaqQ9nXtVF+cVvy8iuRqrb7iJ7Bc2+YviikfaexgnLOufpakLcg1SHsI3dLEf275iCl2T08AAuSn1+JFDxHm9kX4qZflvRuYwXknHPNTW5BIYO7t0t1GGkjkWs85ZKGxiYkDQHKE92BpExJ70iaHaa7SporaUV47RK37LWSVkpaLumUuPSjJC0J8+5W+NsgqbWkaSH9DUmD4taZFPaxQtKkRON1zrmGZGbkbin06ztxEil4fgq8Imm+pFeBl4n6cEvUj4BlcdPXAPPMbDgwL0wj6WBgInAIcCpwr6TY82HvA6YAw8Nwaki/BNhiZsOI+pL7ddhWV+BG4FjgGODG+ALOOeeSZePOEopLK7xz0DiJFDz/Jvqx/2EYRpLgE0gl9Qe+Cvw5LvlMINbL9cPAWXHpT4a+4VYBK4FjJPUBOprZAjMz4JFK68S2NQMYF86GTgHmmlmBmW0B5vJ5YeWca8b6d+xP/479Ux3GHnvu4UnHptQA/ftHQxIlco1ngZkdCbwXS5D0NnBkAuveBfw30CEurZeZrQMws3WSeob0fsDrccvlhbTSMF45PbZObthWmaRtRL1p70mvYh3nXDP22NmPpTqEvazatAuAA7ql6TWex5KfXzU9j6c30Y91W0lHALHmGB2BWs8ZJZ0BbDCzRZLGJhBLVc09rIb0+q4TH+MUoio8Bg4cmECIzjlXNys27KBVZgYHeFXbHjWd8ZwCTAb6A3fy+Y/5duC6BLZ9AvA1SacDbYCOkh4D8iX1CWc7fYANYfk8YEDc+v2BtSG9fxXp8evkScoiejpqQUgfW2md+ZUDNLMHiB52x+jRo/cpmJxzTc+VL1wJwF2n3pXiSCIr83cypEc7sjLT9H79K6P84q7k5Ve1OWFmD5vZV4DJZnaSmX0lDGcm8kgEM7vWzPqb2SCiRgMvm9mFwHNArJXZJODZMP4cMDG0VBtMdF3pzVAtt0PSceH6zcWV1olt69ywDwNeBE6W1CU0Kjg5pDnnmrnF6xezeP3iVIexx4oNOxnWs32qw6je4sXRkES1XuMxs4buyOd2YLqkS4DVwDfCfpZKmg58AJQBV5hZrNn2ZcBUoC0wJwwADwKPSlpJdKYzMWyrQNLNwFthuZvMrKCBj8M552pUtLuc3C2FnHNk+jR2SAdJ6STUzOYTqrrMbDMwrprlfgX8qor0hcChVaQXEwquKuY9BDxU35idc25/fbxxJ2ak9xlPCqRppaNzzjV9KzfsBGB4Ly944tXUqu3s6uaBP/raOZeeRnQbkeoQ9lixYQeZGWJQujalBhiR/Pyqqaot9pjrnsDxRD0WAHyFqNrMCx7nXNp5YMIDqQ5hj5UbdjKoWw6tstK4cumB5OdXrY++Dn2sHRy76TM0gb4nOeE551zTtWLDTkb07FD7gi1MIsXwoFihE+QD6XMu65xzcabMmsKUWVNSHQYlZeV8trkw/a/vTJkSDUmUSKu2+ZJeBJ4guvt/IvBKo0blnHP19NHmj1IdAgCfbiqkvMLSv0XbR8nPr0Tu4/m+pK/z+RNIHzCzZxo3LOeca9pWbNgBwHCvattHovfxvA3sMLOXJOVI6mBmOxozMOeca8pW5O8kQzCkRxq3aEuRWq/xSPou0SMH7g9J/YC/NWZQzjnX1K3csJOBXXNok51Z+8ItTCJnPFcQPUztDQAzWxH3KAPnnEsro3qPSnUIQFTVNqwpVLONSn5+JVLwlJjZ7vC0aUIv0N6Ts3MuLaVDr9Sl5RWs2rSLcQf1SnUotUtir9QxiTSnflXSdUTP5fkv4ClgVuOG5ZxzTddnmwspLTeGp3uLthRJpOD5GbARWAJcCjwPXN+YQTnnXH1d+PSFXPj0hSmNYUV+1PYq7ZtSA1x4YTQkUY1VbZIygPfM7FDgT8kJyTnn6i9ve16qQ2DJmm1kZYgRvZrANZ685OdXjWc8ZlYBvCvJnwvtnHMJWrJmGyN7d/AWbdVIpHFBH2CppDeBXbFEM/tao0XlnHNNlJnxXt42Tj+sd6pDSVuJFDy/bPQonHOumcgtKGJbUSmH9euc6lDSViJd5ryajECcc64hjOk/JqX7f2/NVgAO798ppXEkbEzy86umB8H928y+KGkHe9+3I8DMrGOjR+ecc3V02/jbUrr/JXnbaJWZ0TQaFgDclvz8qul5PF8Mr00k95xzLvXey9vGQX06pPfD31Ks1qq26lq0mdnqhg/HOef2zznTzwFg5nkzk77vigrj/TXbOPOIvknfd72dE+UXM5OXX4k0Lvh73HgbYDCwHDikUSJyzrn9sLlwc8r2/enmXewoKePwptSwYHPy8yuRxgWHxU9LOpKoBwPnnHNxlqzZBsBhTaVhQYrUuRLSzN4Gjm6EWJxzrkl7L28brbMyvI+2WiRyjecncZMZwJFEfbc555yLsyRvG4f07UhWpjcsqEkiudMhbmhNdM3nzNpWktRG0puS3pW0VNIvQ3pXSXMlrQivXeLWuVbSSknLJZ0Sl36UpCVh3t0Kz2iQ1FrStJD+hqRBcetMCvtYIWlSYtnhnGvqxg0ex7jB45K+3/IK4/212zi8fxO6vgMwblw0JFEi13jq23NBCXCSme2UlA38W9Ic4GxgnpndLuka4BrgZ5IOBiYSNVroC7wkaYSZlQP3AVOA14l6xz4VmANcAmwxs2GSJgK/Bs6X1BW4ERhNdA/SIknPmdmWeh6Lc66JuOHLN6Rkv59s3Enh7nIO69fEru/ckPz8SqSq7bma5lfXZ5uZGbAzTGaHwYjOlsaG9IeB+USPXjgTeNLMSoBVklYCx0j6FOhoZgtCPI8AZxEVPGcCvwjbmgH8IZwNnQLMNbOCsM5cosLqidqO1znn6mNxbtRjgTcsqF0izalXAb2Bx8L0N4FPgRdrW1FSJrAIGAbcY2ZvSOplZusAzGxd3GO0+xGd0cTkhbTSMF45PbZObthWmaRtQLf49CrWiY9vCtGZFAMHegfczjUHpz1+GgBzLpiT1P2+uaqAzjnZDOvRxBoWnBblF3OSl1+JFDxHmNmJcdOzJP3TzK6rbcVQTTZKUmfgGUmH1rC4qtpEDen1XSc+vgeABwBGjx7tj/N2rhkoKi1KyX5fX7WZYwZ1JSOjqp+fNFaU/PxKpHFBD0lDYhOSBgM96rITM9tKVKV2KpAvqU/YVh9gQ1gsDxgQt1p/YG1I719F+l7rSMoCOgEFNWzLOeca3JqtReQWFHHckG6pDqVJSKTg+TEwX9J8SfOBV4Ara1tJUo9wpoOktsB44EPgOSDWymwS8ItJMwYAACAASURBVGwYfw6YGFqqDQaGA2+Garkdko4L128urrRObFvnAi+Ha0svAidL6hJazZ1MAlWDzjlXH298Et39f+yQrimOpGlIpFXbC5KGAweGpA9DA4Da9AEeDtd5MoDpZjZb0gJguqRLgNXAN8J+lkqaDnwAlAFXhKo6gMuAqUBbokYFscrIB4FHQ0OEAqJWcZhZgaSbgbfCcjfFGho451xDe/2TzXRqm81Bvb3T/kQk0qotB/gJcICZfVfScEkjzWx2TeuZ2XvAEVWkbwaqbDRuZr8CflVF+kJgn+tDZlZMKLiqmPcQ8FBNMTrnmp8zRpyR9H2+saqAo5vi9R2AM5KfX4k0LvgLUcu02NOC8oCngBoLHuecS4Wrj786qftbt62IzzYXctFxByR1vw3m6uTmFyR2jWeomf2GqFkzZlZE1a3GnHOuxXnjk6gW3xsWJC6Rgmd3aBxgAJKGEvVK4JxzaWfs1LGMnTo2aft7/ZPNdGiTxUF9muj1nbFjoyGJEqlquxF4ARgg6XHgBGByYwblnHNNxRurCjhmUFcym+L1nRRJpFXbXElvA8cRVbH9CGjX2IE551y6y99ezKpNu/jWMd7zSV3UWNUmaYykc4FMM/s7UfPnu4F/JyM455xLZ6/7/Tv1Um3BI+l/iZojnwP8XdKNwFzgDaKbO51zrkWbv3wjXXKyOaSvdwxaFzVVtX2VqJ+24nD3/1rgcDNbkZzQnHOu7s475Lyk7KesvIJXlm/gpJE9m/b1nfOSk1/xaip4isINmpjZFknLvdBxzqW7y4++PCn7eSd3K1sLSznpoJ61L5zOLk9OfsWrqeAZWulZPIPip6t7Do9zzqVSYWkhADnZOY26n5eW5ZOVIU4cUac+k9NPYZRf5DRufsWrqeCp/HjrOxszEOecawinP346APMnz2/U/cxbtoFjh3SlY5vsRt1Pozs9yi/mz0/aLqsteMzs1aRF4ZxzTchnm3excsNOvunNqOslkZ4LnHPOxZm3LHqM2Pimfn0nRbzgcc65Onr5ww0M69meA7r5vfT14QWPc87VwY7iUt5YtZlxB/rZTn0l8jyeEcBPgQPilzezkxoxLuecq5fJoyY36vb/+dEmSsuNcQf1atT9JM3kyUnfZSKdhD4F/BH4E1Bey7LOOZdSjV3w/H3JWrq1a8WRAzs36n6SJk0LnjIzu6/RI3HOuQawqXATAN1zujf4trcXl/LSsg1865iBZGU2kysVm6L8onvD51d1Eil4Zkm6HHiGuOfwmFlBo0XlnHP1dO70c4HGuY/nhSXr2V1WwVlH9GvwbafMuVF+pcV9PHEmhdefxqUZMKThw3HOufT1zDtrGNy9HV/o752C7o9EnsczOBmBOOdcOlu3rYjXV23mR+OGIzXhTkHTQCKt2rKBy4ATQ9J84H4zK23EuJxzLq08t3gtZnDWqGZUzZYiiVS13QdkA/eG6YtC2ncaKyjnnEs3f1u8llEDOjOou980ur8SKXiONrMvxE2/LOndxgrIOef2x2WjL2vwbS5fv4Nl67bzy68d0uDbTrnLGj6/apNIwVMuaaiZfQwgaQh+P49zLk2df+j5Db7NGYtyycwQXz28T4NvO+XOb/j8qk0iDdF/Crwiab6kV4GXgatqW0nSAEmvSFomaamkH4X0rpLmSloRXrvErXOtpJWSlks6JS79KElLwry7Fa7sSWotaVpIf0PSoLh1JoV9rJA0Cedci5C7LZfcbbkNtr2i3eVMX5jHqYf0pnv71g223bSRmxsNSZRIq7Z5koYDIwEBH5pZSS2rAZQBV5nZ25I6AIskzQUmA/PM7HZJ1wDXAD+TdDAwETgE6Au8JGmEmZUTXVOaArwOPA+cCswBLgG2mNkwSROBXwPnS+oK3AiMJmr6vUjSc2a2JcF8cc41URc9cxHQcPfxPPfuGrYVlXLxmAMaZHtp56Iov5J5H0+1ZzySTgqvZwNfBYYBQ4GvhrQamdk6M3s7jO8AlgH9iB4w93BY7GHgrDB+JvCkmZWY2SpgJXCMpD5ARzNbYGYGPFJpndi2ZgDjwtnQKcBcMysIhc1cosLKOecSZmY8/NpnHNi7A8cM7prqcJqNms54vkxUrTahinkGPJ3oTkIV2BHAG0AvM1sHUeEkKdbFaz+iM5qYvJBWGsYrp8fWyQ3bKpO0DegWn17FOvFxTSE6k2LgQH+gk3Nub4s+28IH67Zz69cP83t3GlBNTyC9MYzeFM5A9pCU8E2lktoDM4ErzWx7DW9eVTOshvT6rvN5gtkDwAMAo0eP3me+c65le3jBZ3Rok8VZR/RNdSjNSiKNC2ZWkTYjkY2Hm09nAo+bWewMKT9UnxFeN4T0PGBA3Or9gbUhvX8V6XutIykL6AQU1LAt55xLyIbtxcxZso7zRg8gp1UiDYBdoqrNTUkHEl3o71Tpmk5HoE1tGw7XWh4ElpnZb+NmPUfU/9vt4fXZuPS/SvotUeOC4cCbZlYuaYek44iq6i4G/q/SthYA5wIvm5lJehG4Na7F3MnAtbXF7Jxr+q4aU2uj24Q89vpnlFUYFx3XTBsVxFzVMPlVFzUV4yOBM4DO7H2dZwfw3QS2fQJRLwdLJC0OadcRFTjTJV0CrAa+AWBmSyVNBz4gahF3RWjRBlGXPVOBtkSt2eaE9AeBRyWtJDrTmRi2VSDpZuCtsNxN3pu2cy3DhJFVXZaum21FpfzltU85+eBezb+nggn7n191paihWA0LSGPMbEGS4kmZ0aNH28KFC1MdhnNuPy3ftByAkd1H1nsbd89bwW/nfsTsH3yRQ/s1856ol0f5xcj65ZekRWY2ui7rJHKN53uS9jxqT1IXSQ/VOTrnnEuCS2dfyqWzL633+juKS3nw36sYf1DP5l/oAFx6aTQkUSIFz+FmtjU2Ee6LOaLxQnLOudR5ZMFnbCsq5UfjRqQ6lGYrkYIno1K3Nl1JrI8355xrUnaWlPGnf33CSQf25DB/2FujSaQAuRN4TVKsCfU3gF81XkjOOZcaD7/2KVsLS/nhuOGpDqVZS6SvtkckLQROIrox82wz+6DRI3POuSTauKOE++Z/zPiDejJqQOfaV3D1VtN9PB1DTwNdgfXAX+PmdfXmyc65dHT9idfXa707XlxOSVk5151+UANHlOaur19+7Y+aznj+SnQfzyL27m5GYXpII8blnHP1Mn7I+Dqv8/6abUxflMslJwxmSI/2jRBVGhtf9/zaXzX11XZGeE24XzbnnEu1xeuj+9VH9R6V0PJmxk2zPqBLTit+0BKv7SwO9/ePSiy/GkKt13gkPQs8CTxrZoWNH5JzztXflS9cCST+PJ7nl6znzU8LuPXrh9GpbXYjRpamrozyKy2exxPnt8CXgGWSnpJ0rqRa+2pzzrl0t62wlF/OWsrBfTpy/tEDal/BNYhEWrW9CrwqKZOoZdt3gYeIOgt1zrkm66bZH7B5124emnw0mRn+vJ1kSehGUEltiToKPR84ks+f+umcc03Syx/mM/PtPH5w0rCW0TVOGknkGs804FjgBeAeYL6ZVTR2YM4511i2FZVy7dNLGNmrA98/aViqw2lxEjnj+QvwrbhHFDjnXNq6ddytNc43M3753FI27dzNny4eTeuszCRFlqZurTm/GkMi13hekHS8pEHxy5vZI40Yl3PO1cvxA46vcf70hbk8/c4arhw/nMP7ew8FHF9zfjWGRKraHgWGAouB2FmPAV7wOOfSzmu5rwFVF0AfrN3O/zy7lC8O684PTmqB9+xU5bUov5JZACVS1TYaONhqe2Kcc86lgevmXQfsex/PjuJSrvjr23TOyeauiaO8FVvMdVF+pdt9PO8DvRs7EOecaywVFcbVT73L6oJC/u+bR9K9fetUh9SiJXLG0x34QNKbQEks0cy+1mhROedcA7ptzjJeXJrPDWcczDGDu6Y6nBYvkYLnF40dhHPONZZHF3zKn/61ikljDuD/nTAo1eE4Euy5QFIv4OiQ9KaZbWjcsJxzbv+9/GE+Nz63lPEH9eR/JhyC5Nd10kEirdrOA/4XmE/0SIT/k/RTM5tR44rOOZcCd516FwD/WbmJyx57m4P7duT3E4/wxgTVueuupO8ykaq2nwNHx85yJPUAXgK84HHOpZ1RvUfx+iebueThNxnUrR2P/L9jadc6od7BWqYkPg4hJpF3I6NS1dpmEmsN16KMnTp2n7TzDjmPy4++nMLSQk5//PR95k8eNZnJoyazqXAT504/d5/5l42+jPMPPZ/cbblc9MxF+8y/asxVTBg5geWblnPp7Ev3mX/9idczfsh4Fq9fvKer+Hi3jruV4wccz2u5r+1pghrvrlPvYlTvUbz0yUvc8s9b9pl//xn3M7L7SGYtn8WdC+7cZ/6jX3+UAZ0GMO39ady38L595s84bwbdc7ozdfFUpi6eus/85y94npzsHO59616mL52+z/xYc9k7XruD2R/N3mte2+y2zLlgDgA3v3oz81bN22t+t5xuzDxvJgDXvnQtC/IW7DW/f8f+PHb2Y0DUzX7sGS8xI7qN4IEJDwAwZdYUPtr80V7zR/Ueteef94VPX0je9ry95o/pP4bbxt8GwDnTz2Fz4ea95o8bPI4bvnwDAKc9fhpFpUV7zT9jxBlcffzVgH/2Kn/2Nm7tSOmmKQzs2oHzvrSes586eZ/1/bMX99lbs5L5h92Z1AfCJVKAvCDpRUmTJU0G/g7MqW0lSQ9J2iDp/bi0rpLmSloRXrvEzbtW0kpJyyWdEpd+lKQlYd7dCpW0klpLmhbS3wg9K8TWmRT2sULSpEQywjnX9BXuHMzO9ZMoVwF//c6xtG/jtx/W6rPP4JZ9C/fGpETuC5V0NvBFoms8/zSzZxJY50RgJ/CImR0a0n4DFJjZ7ZKuAbqY2c8kHQw8ARwD9CWqyhthZuWhGfePgNeB54G7zWyOpMuBw83se5ImAl83s/MldQUWEt34akSP7j7KzLbUFO/o0aNt4cKFteaFcy49zVyUx89mvkdG9np6DZjBv77zfKpDahrGjo1e63kDqaRFZja6LutUe8YjaZikEwDM7Gkz+4mZ/RjYLGlobRs2s38CBZWSz+TzRyo8DJwVl/6kmZWY2SpgJXCMpD5ARzNbEHpOeKTSOrFtzQDGhbOhU4C5ZlYQCpu5wKm1xeuca5rMjPvmf8xVT73LsUO60nvgk2Rm+cOS01lNVW13ATuqSC8M8+qjl5mtAwivPUN6PyA3brm8kNYvjFdO32sdMysDtgHdatjWPiRNkbRQ0sKNGzfW85Ccc6lSXFrOj6ct5tcvfMiEL/TloclHk5G5O9VhuVrU1LhgkJm9VznRzBbGX09pIFW1c7Qa0uu7zt6JZg8AD0BU1VZ7mM65dLFmaxGXPrqQpWu389NTRnL52KF+n04TUVPB06aGeW3rub98SX3MbF2oRou1lssD4h943h9YG9L7V5Eev06epCygE1HVXh4wttI68+sZr3MuDc39IJ//nvEuZeXGg5NGc9KBvfbMu/+M+1MYWRN0f/Lzq6aqtrckfbdyoqRLiC7Y18dzQKyV2STg2bj0iaGl2mBgOFEPCeuAHZKOC9dvLq60Tmxb5wIvh+tALwInS+oSWs2dHNKcc01ccWk5N/ztfb77yEL6dm7Ls98/Ya9CB2Bk95GM7D4yRRE2QSNHRkMS1XTGcyXwjKQL+LygGQ20Ar5e24YlPUF05tFdUh5wI3A7MD0UXquBbwCY2VJJ04EPgDLgirgnnl4GTCU6y5rD5025HwQelbSS6ExnYthWgaSbgbfCcjeZWeVGDs65Juad1Vv47xnvsWLDTr77pcFcfcrIKp8eOmv5LAAmjJyQ7BCbpllRfjEheflVa3NqSV8BDg2TS83s5UaPKgW8ObVz6alwdxl3/uMjHvrPKnp3bMPt5xzOl0f0qHb52A21lZ/H46qRgubUiXQS+grwSr0ics65ejIzXlyazy1//4C8LUVceNxAfnbqgXRok53q0Nx+8g6MnHNpZ0X+Dn456wP+vXITI3t1YPqlY/w5Os2IFzzOubSxZmsRv3/pI2YsyqNDm2xuOvMQvnXMQLIyvXvI5sQLHudcyuVvL+aPr37M46+vBsG3TxjMFV8ZRtd2rVIdmmsEXvA451Imt6CQ+179mBkL8yg345wj+3Hl+BH07VzfWwWjXtFdHTya/Pzygsc5l1RmxqLPtvDQf1bx4tJ8MiXOHd2f7504lIHdcvZ7+wM6Dah9Ife5AcnPLy94nHNJsaukjNnvreWx11ezZM02OrXN5jtfGsy3jx9M7041dZRSN9PenwbA+Yee32DbbNamRfnF+cnLLy94nHONxsx4J3crMxfl8ezitewsKWN4z/bcctahnH1kP3JaNfxPUOyhg17wJOi+8JBGL3icc03ZJxt3Muvddfxt8RpWbdpF66wMvnp4Hy44diBHDuzinXm2cF7wOOf2m5nx8cadvLg0n9nvrWPZuu0AHDekK5d9eSinHdbbb/x0e3jB45yrl91lFSz8tIBXlm9g7gf5fLo5evjaUQd04YYzDua0Q3vvV+s013x5weOcS0h0VrOL1z7exL9WbOK1lZvYtbuc7EwxZmh3LvnSEP7roF4N2lDANU9e8DjnqhQraN5cVcCbqzbz+icFrN9eDEC/zm0564h+fHlED44f1p32rdPnp2TGeTNSHULTMiP5+ZU+nxbnXErtKC5lyZptvLN6K++s3sKiz7awpbAUgO7tW3PskK6cMLQ7JwzrxsCuOWnbQKB7TvdUh9C0dE9+fnnB41wLtK2olGXrtrN07XaWrtnGe2u28fHGncSekjK0RzvGH9SLow7owjGDuzK4e7u0LWgqm7p4KgCTR01OaRxNxtSp0evkyUnbpRc8zjVjJWXlrNq0i4/yd/LR+h18uH4Hy9ZtZ83Woj3L9OrYmkP7duJrX+jLFwZ05vB+nejShPtI84Knjrzgcc7VlZmxcWcJn24q5JONO1m1aRcfb9zJxxt3sbqgkPKK6DQmM0MM7t6OIw/owreOHcjBfTpySL+O9OzgjQFccnnB41wTULi7jDVbisjbWkReQSGrCwrJLSjis4JCPtu8i8Ld5XuWbZWZwQHdcjiwdwfOOLwPw3q2Z0SvDgzp0a7KR0U7l2xe8DiXYkW7y8nfXkz+9mLWby9m3bZi1m0tYu22YtZtK2Lt1mIKdu3ea53WWRkM6JrDwK45jBnSjQO65XBAtxyG9mhP385tycxoGtdjXMvkBY9zjaC0vIItu3azcWcJm3buZvPOEjbuKGFTeN0QG7YXs724bJ/1O7TOom/ntvTp3IbD+nWmf5e29O/Sln6d2zKwaw7d27cmwwsX10R5weNcDcyM4tIKthbtZltRKVsLY8Nutux53U3BrlIKdpWwpbCUzTtLqixMIDpT6dGhNT07tGZYj/YcP7QbvTq2CUNr+nSKxr17mfp7/oLnUx1C0/J88vPLCx7XbMUKjZ0lZewqKWNnSRk7imOvpXumtxeXRq9FpXumtxWVsr0oSttdXlHtPlplZdAlJ5suOa3o1r4VfTu3pVu7VnRr35qu7VrRvX0ruofxHh1a0751VpNpltxU5WTv/zN9WpSc5OeXFzwupcyM3eUVFJdWUFxaTtHucopKo6F4dzmFu8sp3DNeRmFYZldJOUWlZewqCcvsjgqXXbvL9xQyhbvL97ToqkmrrAw6tsmiY5tsOrTNpmObqJqrY5tsOrbNonPbVnRqm02nttl0ycmmU042nXNa0SUnm7bZmV6QpJl737oXgMuPvjzFkTQR90b5xeXJyy8veFowM6Oswigtr2B3WQW7Y69x46XlFZSUVlASN68ktkxZ+Z7xkrIKSsJ0SWk0XlzFa3FpeTSUfT6eQNmwFwlysjPJaZ1FTqtM2rXKol3rTDrltKJfl9h0lNaudRbtKw0d2mTTvk1sPIs22d7SqzmZvnQ64AVPwqZH+eUFTxNSXmHkby+mvCL6ES+vqKCswigrt7g0o6yiolJaBaVhurS8InqtMMrLK0JhYJSVV0RpYd3S8mg7peXROrH5ZeXxadFraXxahe0pRGLpscKloWQI2mRn0iorgzZZmbTJzojGszNpkxUVAF3bRemtszJp2yq2XCZtW2XSOiyb0yqTttmfp8emo/GooGmdleFnGc41Yc264JF0KvB7IBP4s5nd3tD72FK4m+Nvf7mhN7uXTEFFeSlUVCCrAKtAVk6XTh3o2KE9FaWlrM1bvSc9tsyBw4ZyQO+e7Ny+jbcXvYUqonkZVk6binK++pUvM3TQQNbk5fLi87OhonzP+qoo47uXfJuRw4fx/rvv8OjDfwnrl4fXMn77v7/hkANHMPeFOdz1uzv3ifvBRx9lwIABTJs2jftiTzmMM2PGDLp3787UqVOZGrt7Os7zzz9PTk4O9957L9Nj/8rizJ8/H4A77riD2bNn7zWvbdu2zJkzB4Cbb76ZefPm7TW/W7duzJw5E4Brr72WBQsW7DW/f//+PPbYYwBceeWVLF68eK/5I0aM4IEHHgBgypQpfPTRR3vNHzVqFHfddRcAF154IXl5eXvNHzNmDLfddhsA55xzDps3b95r/rhx47jhhhsAOO200ygqKtpr/hlnnMHVV18NwNixY6nsvPPO4/LLL6ewsJDTTz99n/mTJ09m8uTJbNq0iXPPPXef+Zdddhnnn38+ubm5XHTRRfvMv+qqq5gwYQLLly/n0ksv3Wf+9ddfz/jx41m8eDFXXnnlPvNvvfVWjj/+eF577TWuu+66febfddddjBo1ipdeeolbbrlln/n3338/I0eOZNasWdx5596fvcXrF3Pgdw8E8M9eIp+9xYuZP2rUPsfYmJptwSMpE7gH+C8gD3hL0nNm9kFD7qd96yx+fc5h/O+vfw1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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "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": 55,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "(0.0, 119396.53320735841)"
     },
     "metadata": {},
     "execution_count": 55
    },
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "#ZOOM IN\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": 54,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "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": 61,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "(3391.946966118136, 217084.60583156074)"
     },
     "metadata": {},
     "execution_count": 61
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "#Zoom in\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": [
    "Second set of plots in \"Relative Terms\" which knock out the dependence on alpha and supply, as well as treating requests as share of total funds."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Text(0, 0.5, 'Conviction Required to Pass as share of max achievable')"
     },
     "metadata": {},
     "execution_count": 62
    },
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "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": 63,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "(0.0, 1.1)"
     },
     "metadata": {},
     "execution_count": 63
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "#zoom in\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": 66,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "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": 68,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "(0.031249999999999997, 2)"
     },
     "metadata": {},
     "execution_count": 68
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "#zoom in\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": [
    "Third set of plots are heatmaps to show the simultaneous variation of multiple parameters with a focus on alpha and supply."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "sim_config = config_sim({\n",
    "    'N': 1,\n",
    "    'T': range(100), #day \n",
    "    'M': params,\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "for reference: max conviction = 5.035599031662158in log10 units\n"
     ]
    }
   ],
   "source": [
    "supply = initial_values['supply']\n",
    "alpha = sim_config[0]['M']['alpha']\n",
    "\n",
    "mcv = supply/(1-alpha)\n",
    "print('for reference: max conviction = '+str(np.log10(mcv))+'in log10 units')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "supply_sweep = trigger_sweep('effective_supply',trigger_threshold, sim_config[0]['M'], supply)\n",
    "alpha_sweep = trigger_sweep('alpha',trigger_threshold, sim_config[0]['M'], supply)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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 the increasing conviction required to pass a proposal when either % of funds requested, effective supply, or alpha parameter is high. Blue areas represent lower required conviction, and red areas represent impossibly high conviction. This ensures that the reserve pool of funds are not depleted by a small number of large proposals.\n"
   ]
  }
 ],
 "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": "3.8.3-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}