inbetween_player.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "dcfceeb3-8dc3-4f6c-9729-0206c02b8dd0",
   "metadata": {},
   "source": [
    "# Beating In-between"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05844232-6a1a-498a-96c2-68a171869a35",
   "metadata": {},
   "source": [
    "In the spirit of Chinese New Year, I realised that the game in-between is a really good base example of how we can use the Kelly Criterion in real like (to siphon money from family and friends).\n",
    "\n",
    "For the uninitiated, in-between is a simple gambling game many friends and family like to play during Chinese New Year. The game flows as such:\n",
    "\n",
    "1. Every player chips in money in the pot (buy in)\n",
    "2. Shuffle the deck and deal two cards facing up to the player\n",
    "3. The player chooses to place a bet of a size \\\\$x ranging from \\\\$0 (no bet) to the current pot size. If the player bets, the dealer shows a third card to the player from the top of the deck:\n",
    "    - if the third card has a value in between the two initial cards: player wins $x from the pot\n",
    "    - if the third card has a value outside of the two card's range: player's bet is added to the pot\n",
    "    - if the third card has a value equal to either of the two cards: player loses 2x their bet to the pot\n",
    "4. if the player wins the whole pot, start from step 1, if not move on to the next player\n",
    "\n",
    "details: https://www.timeout.com/singapore/things-to-do/how-to-play-in-between"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5609d32f-7899-4ad2-9b66-fc6079baad59",
   "metadata": {},
   "source": [
    "We can see that it is easy to calculate the probability of winning given any 2 cards in the deck. Given how much money we have in our wallet, we can easily use the Kelly Criterion to calculate how much to bet each round.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74ed3112-0bd9-4661-9ccb-c79c856b2d05",
   "metadata": {},
   "source": [
    "Let's remind ourselves of the Kelly Criterion assuming that each game is the first hand of a newly shuffled deck (we don't want to count cards and ruin the fun at a friendly gambling session)\n",
    "\n",
    "Variables:  \n",
    "- $f = $ bet proportion of bankroll\n",
    "- $p = $ probability of winning (in between)\n",
    "- $q = $ probability of outside (losing the bet)\n",
    "- $m = $ probability of losing double the bet\n",
    "$$ r = (1+f)^p×(1-f)^q×(1-2f)^{m}$$ \n",
    "where r is our expected return per bet\n",
    "\n",
    "Finding the derivative = 0 to find the local maxima.\n",
    "$$ r = (1+f)^p×(1-f)^q×(1-2f)^{m}$$ \n",
    "\n",
    "$$ln(r) = ln(1+f)^p + ln(1-f)^q + ln(1-2f)^{m}$$\n",
    "\n",
    "$$ln(r) = p ln(1+f) + q ln(1-f) + m ln(1-2f)$$\n",
    "\n",
    "$$ \\frac{1}{r}\\times\\frac{dr}{df}=\\frac{p}{1+f}+\\frac{-q}{1-f} + \\frac{-2m}{1-2f}$$\n",
    "Set $\\frac{dr}{df}=0$\n",
    "$$ r×(\\frac{p}{1+f^*}+\\frac{-q}{1-f^*} +\\frac{-2m}{1-2f^*}) = 0$$\n",
    "\n",
    "$$ p(1-f^*)(1-2f^*) - q(1+f^*)(1-2f^*) -2m(1+f^*)(1-f^*) = 0$$\n",
    "\n",
    "$$ f^* = \\frac{3p-q  \\pm \\sqrt{16m^2 + 8mp + 24mq + p^2 - 6pq + 9q^2}}{4(m+p+q)}$$\n",
    "\n",
    "We should use the value of $f^*$ that is in the range of [0, 0.5]. $f^*$ can never be more than 0.5 as we wont be able to pay if we lose double our bet."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6e740da5-16b0-43a8-b777-44022ebf7d4d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "def calc_fstar(p: float, q: float, m: float) -> float:\n",
    "    \"\"\"\n",
    "    p: probability of winning\n",
    "    q: probability of 3rd card being outside\n",
    "    m: probability of losing double the bet\n",
    "    \"\"\"\n",
    "    x = 3 * p - q\n",
    "    denom = 4 * (m + p + q)\n",
    "    sqr = np.sqrt(16*m**2 + 8*m*p + 24*m*q + p**2 - 6*p*q + 9*q**2)\n",
    "    pos = (x + sqr) / denom\n",
    "    neg = (x - sqr) / denom\n",
    "    \n",
    "    if 0 <= pos <= 0.5 and not (0 <= neg <= 0.5):\n",
    "        return pos\n",
    "    elif 0 <= neg <= 0.5 and not (0 <= pos <= 0.5):\n",
    "        return neg\n",
    "    elif 0 <= neg <= 0.5 and 0 <= pos <= 0.5:\n",
    "        print(f\"Both roots within range!: {pos} , {neg}\")\n",
    "    else:\n",
    "        print(f\"Neither roots within range!: {pos} , {neg}\")\n",
    "        \n",
    "    return None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 326,
   "id": "0d5cb962-7e3e-4d89-ab1c-fa80026ca1a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def simulate_in_between(games=1000, initial_bankroll=100, replace_cards=False):\n",
    "    bankroll = initial_bankroll\n",
    "    profits = []\n",
    "    \n",
    "    deck = [i for i in range(1, 14)] * 4  \n",
    "    \n",
    "    for _ in range(games):\n",
    "        if replace_cards or len(deck) < 3:\n",
    "            # replenish deck\n",
    "            deck = [i for i in range(1, 14)] * 4  \n",
    "            np.random.shuffle(deck)\n",
    "        \n",
    "        # Draw two cards\n",
    "        card1, card2 = np.random.choice(deck, 2, replace=False)\n",
    "        low, high = sorted([card1, card2])\n",
    "        \n",
    "        # Calculate probabilities\n",
    "        spread = high - low - 1\n",
    "        if spread <= 0:  # Cards are consecutive or same, skip betting\n",
    "            profits.append(0)\n",
    "            continue\n",
    "            \n",
    "        # We use probabilities assuming a fresh deck each turn for easy mental computing purposes\n",
    "        # And because no one wants a card counter at a family game\n",
    "        p = (spread * 4) / 50\n",
    "        q = 4 * (13 - spread - 2) / 50\n",
    "        m = 3 * 2 / 50\n",
    "        \n",
    "        if p <= 0.5:\n",
    "            profits.append(0)\n",
    "            continue\n",
    "            \n",
    "        # Calculate optimal bet\n",
    "        f_star = calc_fstar(p, q, m)\n",
    "        if f_star is None:  # Skip if no valid bet size\n",
    "            print(f'No optimal bet: {low} & {high}, {p}-{q}-{m}')\n",
    "            profits.append(0)\n",
    "            continue\n",
    "            \n",
    "        bet = bankroll * f_star\n",
    "        \n",
    "        # Draw the third card\n",
    "        third_card = np.random.choice(deck, replace=False)\n",
    "        \n",
    "        # Determine outcome\n",
    "        if low < third_card < high:\n",
    "            bankroll += bet  # Win\n",
    "            profits.append(bet)\n",
    "        elif third_card == low or third_card == high:\n",
    "            bankroll -= 2 * bet  # Lose\n",
    "            profits.append(-2 * bet)\n",
    "        else:\n",
    "            bankroll -= bet\n",
    "            profits.append(-bet)\n",
    "    \n",
    "    return profits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 504,
   "id": "7e6354b8-60b3-4c11-92a3-afbe2a8124ec",
   "metadata": {},
   "outputs": [],
   "source": [
    "import plotly.graph_objects as go\n",
    "\n",
    "def simulate_many_runs(runs=1000, games_per_run=100, start_bankroll=100, replace_cards=True):\n",
    "    all_profits = []  # Store the final profits for all runs\n",
    "    \n",
    "    for _ in range(runs):\n",
    "        # Simulate a single run\n",
    "        res = simulate_in_between(games_per_run, start_bankroll, replace_cards)\n",
    "        res.insert(0, start_bankroll)  # Insert starting bankroll at the beginning\n",
    "        \n",
    "        # Cumulative sum of bankroll changes to get bankroll over time\n",
    "        cumulative_bankroll = np.cumsum(res)\n",
    "        all_profits.append(cumulative_bankroll)  # Append the result of this run\n",
    "    \n",
    "    return np.array(all_profits)\n",
    "\n",
    "# Simulate many runs for both scenarios\n",
    "runs = 100_000  # Number of runs\n",
    "games_per_run = 1000  # Number of games per run\n",
    "start_bankroll = 100  # Starting bankroll\n",
    "\n",
    "# Ideal scenario\n",
    "ideal_profits = simulate_many_runs(runs, games_per_run, start_bankroll, True)\n",
    "\n",
    "# Real scenario\n",
    "real_profits = simulate_many_runs(runs, games_per_run, start_bankroll, False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 505,
   "id": "87cd34dc-af7d-453a-9dc0-7a61225003e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the average bankroll over time for both scenarios\n",
    "avg_ideal_profits = ideal_profits.mean(axis=0)\n",
    "median_ideal_profits = np.median(ideal_profits, axis=0)\n",
    "\n",
    "avg_real_profits = real_profits.mean(axis=0)\n",
    "median_real_profits = np.median(real_profits, axis=0)\n",
    "\n",
    "cv_real_profits = real_profits.std(axis=0) / real_profits.mean(axis=0)\n",
    "cv_ideal_profits = ideal_profits.std(axis=0) / ideal_profits.mean(axis=0)\n",
    "\n",
    "cv2_real_profits = real_profits.std(axis=0) / median_real_profits\n",
    "cv2_ideal_profits = ideal_profits.std(axis=0) / median_ideal_profits\n",
    "\n",
    "\n",
    "# Create Plotly graph\n",
    "fig = go.Figure()\n",
    "fig.add_trace(go.Scatter(x=list(range(games_per_run + 1)), y=avg_ideal_profits, mode='lines', name='Ideal Scenario Mean'))\n",
    "fig.add_trace(go.Scatter(x=list(range(games_per_run + 1)), y=avg_real_profits, mode='lines', name='Real Scenario Mean'))\n",
    "fig.update_layout(title='Comparison of Bankroll Over Time: Ideal vs. Real Scenarios',\n",
    "                  xaxis_title='Game Number',\n",
    "                  yaxis_title='Mean Bankroll',\n",
    "                  legend_title='Scenario')\n",
    "fig.show('png')\n",
    "\n",
    "\n",
    "fig = go.Figure()\n",
    "fig.add_trace(go.Scatter(x=list(range(games_per_run + 1)), y=median_ideal_profits, mode='lines', name='Ideal Scenario Median'))\n",
    "fig.add_trace(go.Scatter(x=list(range(games_per_run + 1)), y=median_real_profits, mode='lines', name='Real Scenario Median'))\n",
    "fig.update_layout(title='Comparison of Bankroll Over Time: Ideal vs. Real Scenarios',\n",
    "                  xaxis_title='Game Number',\n",
    "                  yaxis_title='Median Bankroll',\n",
    "                  legend_title='Scenario')\n",
    "fig.show('png')\n",
    "\n",
    "# coefficient of variation\n",
    "fig = go.Figure()\n",
    "fig.add_trace(go.Scatter(x=list(range(games_per_run + 1)), y=cv_real_profits, mode='lines', name='Real Scenario CV'))\n",
    "fig.add_trace(go.Scatter(x=list(range(games_per_run + 1)), y=cv_ideal_profits, mode='lines', name='Ideal Scenario CV'))\n",
    "\n",
    "fig.update_layout(title='Comparison of Bankroll Over Time: Ideal vs. Real Scenarios',\n",
    "                  xaxis_title='Game Number',\n",
    "                  yaxis_title='Coefficient of Variation',\n",
    "                  legend_title='Scenario')\n",
    "fig.show('png')\n",
    "\n",
    "fig = go.Figure()\n",
    "fig.add_trace(go.Scatter(x=list(range(games_per_run + 1)), y=cv2_real_profits, mode='lines', name='Real Scenario CV2'))\n",
    "fig.add_trace(go.Scatter(x=list(range(games_per_run + 1)), y=cv2_ideal_profits, mode='lines', name='Ideal Scenario CV2'))\n",
    "\n",
    "fig.update_layout(title='Comparison of Bankroll Over Time: Ideal vs. Real Scenarios',\n",
    "                  xaxis_title='Game Number',\n",
    "                  yaxis_title='Coefficient of Variation (median)',\n",
    "                  legend_title='Scenario')\n",
    "fig.show('png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "134f0b66-c459-44aa-af01-e2eeb70fbb49",
   "metadata": {},
   "source": [
    "It seems like the real life scenario (where deck actually depletes) and ideal scenario (where we always play with the first 3 cards of a fresh deck) do not differ too much (and more importantly, we still continue to make some money in the real life scenario)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 477,
   "id": "bacf63c1-865d-451a-bc08-370fa8b1bbd8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------Spread 0------\n",
      "Don't bet\n",
      "------Spread 1------\n",
      "Don't bet\n",
      "------Spread 2------\n",
      "Don't bet\n",
      "------Spread 3------\n",
      "Don't bet\n",
      "------Spread 4------\n",
      "Don't bet\n",
      "------Spread 5------\n",
      "Don't bet\n",
      "------Spread 6------\n",
      "Don't bet\n",
      "------Spread 7------\n",
      "Bet pct of bankroll : 0.000\n",
      "EV: 0.000, p(WIN): 0.560, p(OUT): 0.320, p(DOUBLE): 0.120\n",
      "------Spread 8------\n",
      "Bet pct of bankroll : 0.110\n",
      "EV: 0.160, p(WIN): 0.640, p(OUT): 0.240, p(DOUBLE): 0.120\n",
      "------Spread 9------\n",
      "Bet pct of bankroll : 0.200\n",
      "EV: 0.320, p(WIN): 0.720, p(OUT): 0.160, p(DOUBLE): 0.120\n",
      "------Spread 10------\n",
      "Bet pct of bankroll : 0.270\n",
      "EV: 0.480, p(WIN): 0.800, p(OUT): 0.080, p(DOUBLE): 0.120\n",
      "------Spread 11------\n",
      "Bet pct of bankroll : 0.320\n",
      "EV: 0.640, p(WIN): 0.880, p(OUT): 0.000, p(DOUBLE): 0.120\n"
     ]
    }
   ],
   "source": [
    "# EVs\n",
    "for spread in range(0, 12):\n",
    "    p_win = (spread * 4) / 50\n",
    "    p_out = (4 * (13 - spread - 2) / 50.0)\n",
    "    p_double = (3 * 2 / 50.0)\n",
    "    ev = p_win - p_out - 2 * p_double\n",
    "    \n",
    "    print(f\"------Spread {spread}------\")\n",
    "    \n",
    "    if p_win <= 0.5:\n",
    "        print(f\"Don't bet\")\n",
    "        continue\n",
    "\n",
    "    # Calculate optimal bet\n",
    "    print(f\"Bet pct of bankroll : {calc_fstar(p_win, p_out, p_double):.3f}\")\n",
    "    \n",
    "    print(f\"EV: {ev:.3f}, p(WIN): {p_win:.3f}, p(OUT): {p_out:.3f}, p(DOUBLE): {p_double:.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49689199-b2c2-4c9f-b45e-512d400fb158",
   "metadata": {},
   "source": [
    "Surprisngly, the EV of the best case scenario where you get an Ace and a King (spread = 11) is not as high as one thinks despite the high probability of winning. I (and I think lots of other people) understimate the effect of \"hitting the goalposts\" and losing double your bet."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "302e585e-367a-4e7d-a6c7-8abd02b4c809",
   "metadata": {},
   "source": [
    "# Applicability to Real Life\n",
    "\n",
    "At the end of the day, following the Kelly Criterion for in-between does not have much practical value despite only needing to remember the 4 bet proportions calculated for spreads 7 to 11.\n",
    "\n",
    "## We did not model a pot in the simulated games\n",
    "I chose not to model a pot in the simulated games (essentially assuming that the pot is bottomless) so that we can allow the impact of Kelly Criterion to take full effect. If not we would always have to limit our max bet to the size of the pot even if Kelly Criterion says we should bet bigger. Depending on the type of game you're playing, it is likely that the pot size will limit most of your bets when you have a good spread and you'll just find yourself going \"all in\".\n",
    "\n",
    "## Bankroll size compared to pot\n",
    "Depending on how you interpret \"bankroll\", the actual bet size can vary wildly. For example you may interpret bankroll as the amount of cash you have set aside to play the game at that specific moment, or something like your actual net worth. Thus the size of bankroll in porportion to the game's pot has a huge range and means the difference between you betting a dollar every game or going \"all in\" everytime you have a positive expected value"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f178e39-dbc1-4ac4-ac3c-7352e095d2b3",
   "metadata": {},
   "source": [
    "## Modelling Distribution of Spreads for in-between"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 508,
   "id": "eb565322-1120-4c0c-89d5-502912e947db",
   "metadata": {},
   "outputs": [
    {
     "data": {
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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from collections import Counter\n",
    "import plotly.express as px\n",
    "\n",
    "\n",
    "# Function to calculate spread probabilities\n",
    "def calculate_spread_probabilities():\n",
    "    total_combinations = 0\n",
    "    spread_counts = Counter()\n",
    "    \n",
    "    deck = [i for i in range(1, 14)] * 4  \n",
    "    \n",
    "    # Calculate combinations for each spread\n",
    "    for idx, card1 in enumerate(deck):  \n",
    "        for idx2, card2 in enumerate(deck):  \n",
    "            if idx == idx2:\n",
    "                continue\n",
    "            spread = abs(card1 - card2) - 1\n",
    "            # Each combination can occur 4*4 times due to suits\n",
    "            spread_counts[spread] += 1\n",
    "            total_combinations += 1\n",
    "    \n",
    "    # Calculate probabilities\n",
    "    spread_probabilities = {spread: count / total_combinations for spread, count in spread_counts.items()}    \n",
    "    \n",
    "    return spread_probabilities\n",
    "\n",
    "# Calculate spread probabilities\n",
    "spread_probabilities = calculate_spread_probabilities()\n",
    "\n",
    "# Plotting\n",
    "spreads = list(spread_probabilities.keys())\n",
    "probabilities = [spread_probabilities[spread] for spread in spreads]\n",
    "\n",
    "# Convert spread_probabilities to a format suitable for Plotly\n",
    "data = [{'Spread': spread, 'Probability': probability} for spread, probability in spread_probabilities.items()]\n",
    "\n",
    "# Create a bar chart with Plotly\n",
    "fig = px.bar(data, x='Spread', y='Probability', title='Probability Distribution of Spreads in In-Between')\n",
    "fig.update_layout(xaxis_title='Spread', yaxis_title='Probability', xaxis=dict(tickmode='linear'))\n",
    "fig.show('png')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 503,
   "id": "367a896a-a3d7-45ed-89d1-65dffe92485b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Portion of games we can actually bet: 12.07%\n"
     ]
    }
   ],
   "source": [
    "playable_opportunities = spread_probabilities[8] + spread_probabilities[9] + spread_probabilities[10] + spread_probabilities[11]\n",
    "print(f\"Portion of games we can actually bet: {playable_opportunities * 100:.2f}%\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "385b10ac-3772-4fc2-a191-5161289a2ef7",
   "metadata": {},
   "source": [
    "### We shouldn't bet most games\n",
    "\n",
    "Based on the playable spreads [8, 9, 10, 11], the proportion of games we can actually bet on is only about 12%. If everyone that plays is a rational gambler playing to profit maximise, this would be a very boring game as people would rarely bet and the pot size would rarely grow."
   ]
  }
 ],
 "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": "3.11.3"
  }
 },
 "nbformat": 4,
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}