Wealth Disparity By Luck

Dockerfile

FROM jmacivor/dotnet-binder:0.1.1

ARG NB_USER=jovyan
ARG NB_UID=1000

USER $NB_USER

ENV HOME=/home/$NB_USER

WORKDIR $HOME

COPY lucky_wealth.ipynb $HOME/lucky_wealth.ipynb

lucky_wealth.ipynb

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    "// ML.NET Nuget packages installation\n",
    "//#r \"nuget:Microsoft.ML,1.5.0\"\n",
    "//#r \"nuget:Microsoft.ML.Mkl.Components,1.5.0\"\n",
    "//Install XPlot package\n",
    "#r \"nuget:XPlot.Plotly,2.0.0\"    \n",
    "//using Microsoft.ML;    \n",
    "//using Microsoft.ML.Data;\n",
    "using XPlot.Plotly;\n",
    "using System;\n",
    "using System.Linq;"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Installed package XPlot.Plotly version 2.0.0"
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup data\n",
    "\n",
    "66 M people, each year they toss a coin (50% chance per year) => Heads wealth increases by 40%, Tails wealth decreases by 40%\n",
    "Repeat for 26 years"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "source": [
    "public class PersonWithMoney\n",
    "{\n",
    "    public double dollars {get;set;} = 1.00f;\n",
    "\n",
    "    public PersonWithMoney IncreaseOrDecrease(int iterations) \n",
    "    {\n",
    "        for(var i = 0; i < iterations; i ++)\n",
    "        {\n",
    "            var rand = new Random();\n",
    "            var chance = rand.Next(0,2);        \n",
    "            if (chance == 1) dollars = dollars * 1.4;\n",
    "            else dollars = dollars * 0.7;            \n",
    "        }        \n",
    "        return this;\n",
    "    }\n",
    "}\n",
    "\n",
    "var people = Enumerable.Range(0, 1000).Select(r => new PersonWithMoney());\n",
    "\n",
    "var groupedPeople = people.GroupBy(p => p.dollars).Select(p => new { Amount = p.First().dollars, Count = p.Count() });\n",
    "\n",
    "var years = Enumerable.Range(1, 26).ToArray();\n",
    "\n",
    "var peopleAndWealthOverTime = years.Select(y =>  \n",
    "    people.Select(p => p.IncreaseOrDecrease(y)).GroupBy(p => p.dollars).Select(p => new { Amount = p.First().dollars, Count = p.Count() })).ToArray();\n",
    "\n",
    "\n",
    "//display(peopleAndWealthOverTime);\n",
    "\n",
    "var bars = years.Select(y => \n",
    "        new Graph.Scatter()\n",
    "        {\n",
    "            y = peopleAndWealthOverTime[y-1].Select(sp => sp.Count),\n",
    "            x = peopleAndWealthOverTime[y-1].Select(sp => sp.Amount),\n",
    "            name = $\"Year {y}\",\n",
    "            mode = \"markers\"\n",
    "        }\n",
    "    );\n",
    "\n",
    " foreach(var bar in bars)\n",
    " {\n",
    "    var chart = Chart.Plot(bar);\n",
    "    var layout = new Layout.Layout(){barmode = \"group\", title=\"\"};\n",
    "    chart.WithLayout(layout);\n",
    "    chart.WithXTitle(\"Amounts\");\n",
    "    chart.WithYTitle(\"People\");\n",
    "    chart.WithLegend(true);\n",
    "    chart.Width = 700;\n",
    "    chart.Height = 400;\n",
    "\n",
    "    display(chart);\n",
    "}\n",
    "\n",
    ""
   ],
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