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@jdossgollin
Created July 25, 2018 16:09
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Plot a sequential decisions model
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we will plot a sequential cash allocation"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define the times we will plot"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"T0, T1, T2, T3 = np.linspace(0, 15, 4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define the options and their cost"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>name</th>\n",
" <th>cost</th>\n",
" <th>color</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>No Action</td>\n",
" <td>0.00</td>\n",
" <td>red</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Financial</td>\n",
" <td>0.25</td>\n",
" <td>blue</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Structural</td>\n",
" <td>0.50</td>\n",
" <td>green</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Mega-Project</td>\n",
" <td>1.00</td>\n",
" <td>orange</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" name cost color\n",
"0 No Action 0.00 red\n",
"1 Financial 0.25 blue\n",
"2 Structural 0.50 green\n",
"3 Mega-Project 1.00 orange"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"opt = pd.DataFrame({\n",
" 'name': ['No Action', 'Financial', 'Structural', 'Mega-Project'],\n",
" 'cost': [0, 0.25, 0.5, 1] ,\n",
" 'color': ['red', 'blue', 'green', 'orange']\n",
"})\n",
"opt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now define all the trajectories through two iterations"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"opt2 = pd.DataFrame([(n1, n2) for n1 in opt['name'] for n2 in opt['name']])\n",
"opt2.columns = ['step_1', 'step_2']\n",
"opt2['cost_1'] = 0.0\n",
"opt2['cost_2'] = 0.0\n",
"for idx,row in opt2.iterrows():\n",
" C1 = opt.loc[opt['name'] == row['step_1'], 'cost'].values\n",
" C2 = opt.loc[opt['name'] == row['step_2'], 'cost'].values\n",
" opt2.loc[opt2.index==idx, 'cost_1'] = C1\n",
" opt2.loc[opt2.index==idx, 'cost_2'] = C1 + C2\n",
"\n",
"opt2 = opt2.loc[opt2['cost_1'] <= 1.0]\n",
"opt2 = opt2.loc[opt2['cost_2'] <= 1.0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And finally all the trajectories through three iterations"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"opt3 = pd.DataFrame([(n1, n2, n3) for n1 in opt['name'] for n2 in opt['name'] for n3 in opt['name']])\n",
"opt3.columns = ['step_1', 'step_2', 'step_3']\n",
"opt3['cost_1'] = 0.0\n",
"opt3['cost_2'] = 0.0\n",
"opt3['cost_3'] = 0.0\n",
"for idx,row in opt3.iterrows():\n",
" C1 = opt.loc[opt['name'] == row['step_1'], 'cost'].values\n",
" C2 = opt.loc[opt['name'] == row['step_2'], 'cost'].values\n",
" C3 = opt.loc[opt['name'] == row['step_3'], 'cost'].values\n",
" opt3.loc[opt3.index==idx, 'cost_1'] = C1\n",
" opt3.loc[opt3.index==idx, 'cost_2'] = C1 + C2\n",
" opt3.loc[opt3.index==idx, 'cost_3'] = C1 + C2 + C3\n",
"\n",
"opt3 = opt3.loc[opt3['cost_1'] <= 1.0]\n",
"opt3 = opt3.loc[opt3['cost_2'] <= 1.0]\n",
"opt3 = opt3.loc[opt3['cost_3'] <= 1.0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now plot"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(9, 6))\n",
"\n",
"ax.scatter(T0, 0, edgecolors='black', facecolors='none')\n",
"\n",
"for idx,row in opt.iterrows():\n",
" ax.scatter(T1, row['cost'], edgecolors='black', facecolors='none')\n",
" ax.plot((T0, T1), [0, row['cost']], color=row['color'], label=row['name'])\n",
"\n",
"for idx,row in opt2.iterrows():\n",
" ax.scatter(T2, row['cost_2'], edgecolors='black', facecolors='none')\n",
" ax.plot((T1, T2), [row['cost_1'], row['cost_2']], color=opt.loc[opt['name']==row['step_2'], 'color'].values[0])\n",
"\n",
"ax.grid()\n",
"ax.legend()\n",
"ax.set_xlabel('Time [Years]')\n",
"ax.set_ylabel('Fraction of Total Funds Allocated')\n",
"\n",
"fig.tight_layout()\n",
"fig.savefig('./sequential-decision.pdf')\n",
"plt.show()"
]
}
],
"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": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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