task2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cd60d467",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-08T17:15:10.989200Z",
     "start_time": "2022-05-08T17:15:10.756001Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "plt.style.use('seaborn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e014922b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-08T17:16:17.146067Z",
     "start_time": "2022-05-08T17:16:17.143990Z"
    }
   },
   "outputs": [],
   "source": [
    "def utility(x):\n",
    "    return(np.exp(x ** gamma))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3885835f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-08T17:16:37.392965Z",
     "start_time": "2022-05-08T17:16:37.390657Z"
    }
   },
   "outputs": [],
   "source": [
    "pi = np.random.uniform(0,1,20)\n",
    "pi = np.sort(pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "274b0339",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-08T17:16:53.426487Z",
     "start_time": "2022-05-08T17:16:53.423187Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The highest three probability of losses are [0.80938435 0.90903713 0.98370226]\n"
     ]
    }
   ],
   "source": [
    "print('The highest three probability of losses are {}'.format(pi[-3:]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c3e983d6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-08T17:17:15.801677Z",
     "start_time": "2022-05-08T17:17:15.799472Z"
    },
    "code_folding": []
   },
   "outputs": [],
   "source": [
    "y = 2\n",
    "c = 1.5\n",
    "Q = 5\n",
    "D = 0.01\n",
    "gamma = 0.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "9f4f9bd9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-08T17:17:27.185338Z",
     "start_time": "2022-05-08T17:17:27.183108Z"
    }
   },
   "outputs": [],
   "source": [
    "def supply(Q):\n",
    "    return(np.mean(pi[-Q:]) * c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "50ebb2a6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-08T17:17:37.264713Z",
     "start_time": "2022-05-08T17:17:37.262491Z"
    }
   },
   "outputs": [],
   "source": [
    "def demand(D):\n",
    "    return(np.sum(utility(y - D) > pi * utility(y - c) + (1 - pi) * utility(y)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5d0af90e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-08T17:19:48.883479Z",
     "start_time": "2022-05-08T17:19:48.724913Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot([demand(i) for i in np.arange(0, 1.9, 0.02)],\n",
    "         np.arange(0, 1.9, 0.02), 'r', label='insurance demand')\n",
    "plt.plot(range(1, 21), [supply(j)\n",
    "         for j in range(1, 21)], 'g', label='insurance supply')\n",
    "plt.ylabel(\"Average Cost\")\n",
    "plt.xlabel(\"Number of People\")\n",
    "plt.legend()\n",
    "plt.savefig('images/adverse_selection.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9a3a748c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}