{ "cells": [ { "cell_type": "markdown", "id": "81ac9e12", "metadata": {}, "source": [ "# Adversarial Bandits: Playing Rock-Paper-Scissors Against an Exploitative Opponent\n", "\n", "Traditional bandit algorithms fail when opponents adapt. This notebook demonstrates why UCB loses to exploitative opponents while EXP3-IX maintains robustness." ] }, { "cell_type": "code", "execution_count": 1, "id": "754b9472", "metadata": {}, "outputs": [], "source": [ "from collections import deque\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from bayesianbandits import (\n", " EXP3A,\n", " Agent,\n", " Arm,\n", " NormalInverseGammaRegressor,\n", " UpperConfidenceBound,\n", ")\n", "\n", "rng = np.random.default_rng(12345)" ] }, { "cell_type": "markdown", "id": "88dc0b74", "metadata": {}, "source": [ "## The Exploitative Opponent\n", "\n", "In adversarial settings, convergence becomes a liability. If you play Rock 90% of the time, your opponent counters with Paper.\n", "\n", "### The Core Problem\n", "\n", "Standard Bayesian bandits concentrate their posteriors over time:\n", "Prior → Observe → Update → More concentrated posterior → Predictable play → Exploitation\n", "\n", "Against adaptive opponents, we need:\n", "1. Learning from observations (standard updates)\n", "2. Strategic uncertainty (bounded posterior confidence)\n", "3. Adaptive learning rates (more weight to rare actions)\n", "\n", "Let's create an opponent who tracks our recent moves and plays to counter them:" ] }, { "cell_type": "code", "execution_count": 2, "id": "bd8d71e2", "metadata": {}, "outputs": [], "source": [ "class ExploitativeOpponent:\n", " def __init__(self, memory=50, epsilon=0.02, warmup=10):\n", " self.history = deque(maxlen=memory)\n", " self.epsilon = epsilon\n", " self.warmup = warmup\n", " self.rounds_played = 0\n", "\n", " def play(self, last_player_action=None):\n", " self.rounds_played += 1\n", "\n", " if last_player_action is not None:\n", " self.history.append(last_player_action)\n", "\n", " # During warmup or with small probability, play randomly\n", " if self.rounds_played < self.warmup or rng.random() < self.epsilon:\n", " return rng.choice(3)\n", "\n", " if len(self.history) == 0:\n", " return rng.choice(3)\n", "\n", " # Strategy 1: Counter the most frequent move\n", " counts = np.bincount(list(self.history), minlength=3)\n", "\n", " # Add recency bias - recent moves count more\n", " recent_window = min(10, len(self.history))\n", " recent_counts = np.bincount(list(self.history)[-recent_window:], minlength=3)\n", " weighted_counts = counts + 2 * recent_counts\n", "\n", " likely_next = np.argmax(weighted_counts)\n", " return (likely_next + 1) % 3" ] }, { "cell_type": "markdown", "id": "d47c6b59", "metadata": {}, "source": [ "Now let's set up our bandit. Each arm represents a move (Rock, Paper, or Scissors), and \n", "we'll use NormalInverseGammaRegressor as our learner since it's quite flexible." ] }, { "cell_type": "code", "execution_count": 3, "id": "4c426497", "metadata": {}, "outputs": [], "source": [ "# Simple payoff matrix: win=+1, lose=-1, tie=0\n", "def get_reward(player, opponent):\n", " if player == opponent:\n", " return 0\n", " return 1 if (player - opponent) % 3 == 1 else -1\n", "\n", "\n", "# Create agents with different policies\n", "ucb_agent = Agent(\n", " arms=[\n", " Arm(\"Rock\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " Arm(\"Paper\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " Arm(\"Scissors\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " ],\n", " policy=UpperConfidenceBound(alpha=0.95),\n", " random_seed=rng,\n", ")" ] }, { "cell_type": "markdown", "id": "89f78cd6", "metadata": {}, "source": [ "## Playing Against the Adversary\n", "\n", "Let's simulate 5000 rounds of Rock-Paper-Scissors against our exploitative opponent. \n", "We'll track cumulative rewards to see how each algorithm performs over time:" ] }, { "cell_type": "code", "execution_count": 4, "id": "05c635cd", "metadata": {}, "outputs": [], "source": [ "def play_against_adversary(agent, n_rounds=5000):\n", " opponent = ExploitativeOpponent(memory=20, epsilon=0.1)\n", " rewards = []\n", " actions = []\n", "\n", " for round_num in range(n_rounds):\n", " # Agent chooses action\n", " action_names = agent.pull()\n", " player_action = [\"Rock\", \"Paper\", \"Scissors\"].index(action_names[0])\n", "\n", " # Opponent plays\n", " opponent_action = opponent.play(\n", " last_player_action=actions[-1] if actions else None\n", " )\n", "\n", " # Calculate reward\n", " reward = get_reward(player_action, opponent_action)\n", " rewards.append(reward)\n", " actions.append(player_action)\n", "\n", " agent.update(np.array([reward]))\n", "\n", " return np.array(rewards), np.array(actions)\n", "\n", "\n", "# Run simulations\n", "ucb_rewards, ucb_actions = play_against_adversary(ucb_agent)" ] }, { "cell_type": "markdown", "id": "ec85a7cd", "metadata": {}, "source": [ "## The Exploitation Problem: Game-Theoretic Foundations\n", "\n", "Rock-Paper-Scissors has a simple game-theoretic structure:\n", "\n", " ```\n", " Opponent\n", " R P S\n", " Player R [ 0 -1 +1]\n", " P [+1 0 -1]\n", " S [-1 +1 0]\n", " ```\n", "\n", "The Nash equilibrium is to play uniformly random (1/3 each). This guarantees:\n", "- Expected payoff = 0 against any opponent\n", "- No opponent can exploit you for negative returns\n", "- But also: you never exploit suboptimal opponents\n", "\n", "Let's see what happens when we apply a standard learning algorithm:" ] }, { "cell_type": "code", "execution_count": 5, "id": "fd05dd3a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Final scores after 5000 rounds:\n", "Uniform Random: 92\n", "Best Fixed (Paper): 81\n", "UCB: -288 (lost 380 by being predictable)\n" ] } ], "source": [ "# Uniform random baseline - the \"safe\" strategy\n", "def uniform_random_baseline(n_rounds=5000):\n", " opponent = ExploitativeOpponent(memory=20, epsilon=0.1)\n", " rewards = []\n", " last_player_action = None\n", " for _ in range(n_rounds):\n", " player_action = rng.choice(3)\n", " opponent_action = opponent.play(last_player_action=last_player_action)\n", " reward = get_reward(player_action, opponent_action)\n", " rewards.append(reward)\n", " last_player_action = player_action\n", "\n", " return np.array(rewards)\n", "\n", "\n", "# Best fixed action in hindsight\n", "def best_fixed_action_baseline(n_rounds=5000):\n", " \"\"\"Try each fixed action and return the best one's performance\"\"\"\n", " best_total = float(\"-inf\")\n", " best_rewards = None\n", " best_action_name = None\n", "\n", " for action, name in enumerate([\"Rock\", \"Paper\", \"Scissors\"]):\n", " opponent = ExploitativeOpponent(memory=20, epsilon=0.1)\n", " rewards = []\n", "\n", " for _ in range(n_rounds):\n", " opponent_action = opponent.play()\n", " reward = get_reward(action, opponent_action)\n", " rewards.append(reward)\n", "\n", " total = np.sum(rewards)\n", " if total > best_total:\n", " best_total = total\n", " best_rewards = rewards\n", " best_action_name = name\n", "\n", " return np.array(best_rewards), best_action_name\n", "\n", "\n", "# Run baselines\n", "uniform_rewards = uniform_random_baseline()\n", "best_fixed_rewards, best_fixed_name = best_fixed_action_baseline(5000)\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(\n", " np.cumsum(uniform_rewards),\n", " label=\"Uniform Random (Safe)\",\n", " linewidth=3,\n", " color=\"black\",\n", " linestyle=\"--\",\n", " alpha=0.7,\n", ")\n", "plt.plot(\n", " np.cumsum(best_fixed_rewards),\n", " label=f\"Best Fixed: Always {best_fixed_name}\",\n", " linewidth=3,\n", " color=\"red\",\n", " linestyle=\":\",\n", " alpha=0.7,\n", ")\n", "plt.plot(np.cumsum(ucb_rewards), label=\"UCB\", linewidth=2)\n", "plt.axhline(y=0, color=\"gray\", linestyle=\":\", alpha=0.3)\n", "plt.xlabel(\"Round\")\n", "plt.ylabel(\"Cumulative Reward\")\n", "plt.title(\"The Cost of Predictability\")\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()\n", "\n", "print(\"Final scores after 5000 rounds:\")\n", "print(f\"Uniform Random: {np.sum(uniform_rewards):.0f}\")\n", "print(f\"Best Fixed ({best_fixed_name}): {np.sum(best_fixed_rewards):.0f}\")\n", "print(\n", " f\"UCB: {np.sum(ucb_rewards):.0f} (lost {np.sum(uniform_rewards) - np.sum(ucb_rewards):.0f} by being predictable)\"\n", ")" ] }, { "cell_type": "markdown", "id": "d674bf73", "metadata": {}, "source": [ "Clearly, we need an algorithm that can adapt to an adversarial opponent.\n", "\n", "## EXP3A: Importance-Weighted Updates\n", "EXP3A is an average-based implementation that builds on the classic EXP3 algorithm (Auer et al., 2002). In our experiments, we use the EXP3-IX variant (Neu, 2015) which achieves better empirical performance through implicit exploration rather than forced exploration.\n", "\n", "Core mechanism: When selecting arm i with probability p_i and observing reward r:\n", "- Reward: r\n", "- Sample weight: 1/(p_i + γ)\n", "\n", "Effects:\n", "1. Unbiased estimation under uniform sampling\n", "2. Adaptive learning rates: rare actions get high weights (fast learning), common actions get low weights (slow updates)\n", "\n", "This prevents exploitation: as UCB converges to 90% Rock, its updates get weight ≈1.1 while Paper/Scissors get weight ≈10, creating automatic \"escape velocity.\"\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "0564534f", "metadata": {}, "outputs": [], "source": [ "# High temperature EXP3-IX - implicit exploration\n", "exp3ix_sharp_agent = Agent(\n", " arms=[\n", " Arm(\"Rock\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " Arm(\"Paper\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " Arm(\"Scissors\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " ],\n", " policy=EXP3A(eta=2.0, gamma=0.0),\n", " random_seed=rng,\n", ")" ] }, { "cell_type": "markdown", "id": "8b46e302", "metadata": {}, "source": [ "Let's run these algorithms against our exploitative opponent and see how they perform:" ] }, { "cell_type": "code", "execution_count": 7, "id": "f673a151", "metadata": {}, "outputs": [], "source": [ "exp3ix_sharp_rewards, exp3ix_sharp_actions = play_against_adversary(exp3ix_sharp_agent)" ] }, { "cell_type": "markdown", "id": "7f71ee1c", "metadata": {}, "source": [ "### Comparing Adversarial Robustness\n", "\n", "Let's visualize how different algorithms perform against our exploitative opponent." ] }, { "cell_type": "code", "execution_count": 8, "id": "dde92785", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 8))\n", "\n", "# Subplot 1: Cumulative rewards\n", "plt.subplot(2, 1, 1)\n", "plt.plot(\n", " np.cumsum(uniform_rewards),\n", " \"k--\",\n", " linewidth=2,\n", " label=\"Uniform Random (Nash)\",\n", " alpha=0.7,\n", ")\n", "plt.plot(np.cumsum(ucb_rewards), linewidth=2, label=\"UCB\", color=\"orange\", alpha=0.7)\n", "plt.plot(\n", " np.cumsum(exp3ix_sharp_rewards),\n", " linewidth=2,\n", " label=\"EXP3-IX (η=2.0)\",\n", " color=\"purple\",\n", " alpha=0.7,\n", ")\n", "plt.axhline(y=0, color=\"gray\", linestyle=\":\", alpha=0.3)\n", "plt.xlabel(\"Round\")\n", "plt.ylabel(\"Cumulative Reward\")\n", "plt.title(\"Adversarial Robustness: EXP3 vs Traditional Algorithms\")\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=\"upper left\")\n", "plt.grid(True, alpha=0.3)" ] }, { "cell_type": "markdown", "id": "4fa6d1f0", "metadata": {}, "source": [ "## Key Insight\n", "\n", "Both algorithms use identical Bayesian learners. The difference is update weighting:\n", "- UCB: Each observation contributes equally → posterior concentration → predictability\n", "- EXP3A: Observations weighted by 1/(p_i + γ) → adaptive learning rates → maintained diversity\n", "\n", "Parameters:\n", "- η: Action selection temperature (low = safer/uniform, high = greedier) \n", "- γ: Regularizes importance weights, prevents explosion when p_i→0\n", "\n", "## Final Performance Summary" ] }, { "cell_type": "code", "execution_count": 9, "id": "3fc4db6b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=== Final Performance After 5000 Rounds ===\n", "\n", "Algorithm Final Score vs Uniform Exploitation\n", "-----------------------------------------------------------------\n", "Uniform Random (Nash) 92 0 Baseline\n", "UCB -288 -380 Exploited\n", "EXP3-IX (η=2.0) 90 -2 Robust\n" ] } ], "source": [ "print(\"=== Final Performance After 5000 Rounds ===\\n\")\n", "print(f\"{'Algorithm':<25} {'Final Score':>12} {'vs Uniform':>12} {'Exploitation':>15}\")\n", "print(\"-\" * 65)\n", "\n", "uniform_final = np.sum(uniform_rewards)\n", "results = [\n", " (\"Uniform Random (Nash)\", uniform_final, 0, \"Baseline\"),\n", " (\"UCB\", np.sum(ucb_rewards), np.sum(ucb_rewards) - uniform_final, \"Exploited\"),\n", " (\n", " \"EXP3-IX (η=2.0)\",\n", " np.sum(exp3ix_sharp_rewards),\n", " np.sum(exp3ix_sharp_rewards) - uniform_final,\n", " \"Robust\",\n", " ),\n", "]\n", "\n", "for name, score, diff, status in results:\n", " print(f\"{name:<25} {score:>12.0f} {diff:>12.0f} {status:>15}\")" ] }, { "cell_type": "markdown", "id": "15421e3f", "metadata": {}, "source": [ "## Against Suboptimal Opponents\n", "Does robustness sacrifice exploitation? Let's test this with a suboptimal opponent who doesn't adapt to see if EXP3A can learn." ] }, { "cell_type": "code", "execution_count": 10, "id": "357e3e79", "metadata": {}, "outputs": [], "source": [ "class BiasedOpponent:\n", " \"\"\"An opponent with a exploitable bias toward one action\"\"\"\n", "\n", " def __init__(self, action_probs):\n", " self.action_probs = action_probs\n", "\n", " def play(self, last_player_action=None):\n", " return rng.choice(3, p=self.action_probs)" ] }, { "cell_type": "markdown", "id": "3cf7bba2", "metadata": {}, "source": [ "This opponent will be set up to play Rock 70% of the time - a clear pattern that can be exploited by consistently playing Paper. Let's see how different algorithms learn to exploit this:" ] }, { "cell_type": "code", "execution_count": 11, "id": "664a9983", "metadata": {}, "outputs": [], "source": [ "def test_against_biased_opponent(agent, n_rounds=2000):\n", " \"\"\"Test how well an algorithm learns to exploit a biased opponent\"\"\"\n", " opponent = BiasedOpponent(\n", " action_probs=[0.7, 0.2, 0.1]\n", " ) # 70% Rock, 20% Paper, 10% Scissors\n", "\n", " rewards = []\n", " actions = []\n", "\n", " for round_num in range(n_rounds):\n", " # Agent chooses\n", " action_names = agent.pull()\n", " player_action = [\"Rock\", \"Paper\", \"Scissors\"].index(action_names[0])\n", "\n", " # Opponent plays (biased toward Rock)\n", " opponent_action = opponent.play()\n", "\n", " # Calculate reward\n", " reward = get_reward(player_action, opponent_action)\n", " rewards.append(reward)\n", " actions.append(player_action)\n", "\n", " # Update agent\n", " agent.update(np.array([reward]))\n", "\n", " return np.array(rewards), np.array(actions)\n", "\n", "\n", "# Create fresh agents with identical hyperparameters\n", "ucb_biased = Agent(\n", " arms=[\n", " Arm(\"Rock\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " Arm(\"Paper\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " Arm(\"Scissors\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " ],\n", " policy=UpperConfidenceBound(alpha=0.95),\n", " random_seed=rng,\n", ")\n", "\n", "exp3_biased = Agent(\n", " arms=[\n", " Arm(\"Rock\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " Arm(\"Paper\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " Arm(\"Scissors\", learner=NormalInverseGammaRegressor(lam=0.1, a=10.0, b=10.0)),\n", " ],\n", " policy=EXP3A(eta=2.0, gamma=0.0), # Same learning rate scale\n", " random_seed=rng,\n", ")\n", "\n", "# Test both algorithms\n", "ucb_biased_rewards, ucb_biased_actions = test_against_biased_opponent(ucb_biased)\n", "exp3_biased_rewards, exp3_biased_actions = test_against_biased_opponent(exp3_biased)\n", "\n", "# Baseline: always play the optimal counter (Paper)\n", "optimal_rewards = []\n", "opponent = BiasedOpponent(action_probs=[0.7, 0.2, 0.1])\n", "for _ in range(2000):\n", " opponent_action = opponent.play()\n", " reward = get_reward(1, opponent_action) # 1 = Paper\n", " optimal_rewards.append(reward)\n", "optimal_rewards = np.array(optimal_rewards)" ] }, { "cell_type": "markdown", "id": "6e4541ba", "metadata": {}, "source": [ "Let's visualize how both algorithms learn to exploit the biased opponent:" ] }, { "cell_type": "code", "execution_count": 12, "id": "9c513a5e", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 10))\n", "\n", "# Plot 1: Cumulative rewards\n", "ax1.plot(\n", " np.cumsum(optimal_rewards),\n", " \"g:\",\n", " linewidth=2,\n", " label=\"Optimal (Always Paper)\",\n", " alpha=0.7,\n", ")\n", "ax1.plot(np.cumsum(ucb_biased_rewards), linewidth=2, label=\"UCB\", color=\"orange\")\n", "ax1.plot(np.cumsum(exp3_biased_rewards), linewidth=2, label=\"EXP3A\", color=\"blue\")\n", "ax1.axhline(y=0, color=\"gray\", linestyle=\":\", alpha=0.3)\n", "ax1.set_ylabel(\"Cumulative Reward\")\n", "ax1.set_title(\"Learning to Exploit a Biased Opponent (70% Rock)\")\n", "ax1.legend()\n", "ax1.grid(True, alpha=0.3)\n", "\n", "# Plot 2: Paper play rate over time (the optimal action)\n", "window = 50\n", "ucb_paper_rate = np.convolve(\n", " ucb_biased_actions == 1, np.ones(window) / window, mode=\"valid\"\n", ")\n", "exp3_paper_rate = np.convolve(\n", " exp3_biased_actions == 1, np.ones(window) / window, mode=\"valid\"\n", ")\n", "\n", "ax2.plot(ucb_paper_rate, linewidth=2, label=\"UCB\", color=\"orange\")\n", "ax2.plot(exp3_paper_rate, linewidth=2, label=\"EXP3A\", color=\"blue\")\n", "ax2.axhline(y=0.7, color=\"green\", linestyle=\":\", alpha=0.7, label=\"Optimal frequency\")\n", "ax2.axhline(\n", " y=1 / 3, color=\"black\", linestyle=\"--\", alpha=0.5, label=\"Uniform (no learning)\"\n", ")\n", "ax2.set_ylabel(f\"Paper Play Rate ({window}-round window)\")\n", "ax2.set_xlabel(\"Round\")\n", "ax2.legend()\n", "ax2.grid(True, alpha=0.3)\n", "ax2.set_ylim(-0.05, 1.05)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "1016f3f6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=== Learning Performance Against Biased Opponent (70% Rock) ===\n", "\n", "Final cumulative rewards (2000 rounds):\n", " Optimal (Always Paper): 1192\n", " UCB: 1208 (101.3% of optimal)\n", " EXP3A: 750 (62.9% of optimal)\n", "\n", "Final 100 rounds Paper play rate:\n", " UCB: 100.0%\n", " EXP3A: 70.0%\n", " (Optimal against 70% Rock is to play Paper frequently)\n", "\n", "Rounds to reach 50% Paper play rate:\n", " UCB: 0\n", " EXP3A: 0\n", "\n", "Rounds to reach 60% Paper play rate:\n", " UCB: 0\n", " EXP3A: 0\n", "\n", "Rounds to reach 70% Paper play rate:\n", " UCB: 0\n", " EXP3A: 0\n" ] } ], "source": [ "# Calculate key metrics\n", "print(\"=== Learning Performance Against Biased Opponent (70% Rock) ===\\n\")\n", "\n", "# Final performance\n", "print(\"Final cumulative rewards (2000 rounds):\")\n", "print(f\" Optimal (Always Paper): {np.sum(optimal_rewards):>6.0f}\")\n", "print(\n", " f\" UCB: {np.sum(ucb_biased_rewards):>6.0f} ({100 * np.sum(ucb_biased_rewards) / np.sum(optimal_rewards):.1f}% of optimal)\"\n", ")\n", "print(\n", " f\" EXP3A: {np.sum(exp3_biased_rewards):>6.0f} ({100 * np.sum(exp3_biased_rewards) / np.sum(optimal_rewards):.1f}% of optimal)\"\n", ")\n", "\n", "# Convergence analysis\n", "final_100_rounds = slice(-100, None)\n", "print(\"\\nFinal 100 rounds Paper play rate:\")\n", "print(f\" UCB: {100 * np.mean(ucb_biased_actions[final_100_rounds] == 1):.1f}%\")\n", "print(f\" EXP3A: {100 * np.mean(exp3_biased_actions[final_100_rounds] == 1):.1f}%\")\n", "print(\" (Optimal against 70% Rock is to play Paper frequently)\")\n", "\n", "# Learning speed\n", "for threshold in [0.5, 0.6, 0.7]:\n", " ucb_rounds = np.where(\n", " np.convolve(ucb_biased_actions == 1, np.ones(50) / 50, mode=\"valid\") > threshold\n", " )[0]\n", " exp3_rounds = np.where(\n", " np.convolve(exp3_biased_actions == 1, np.ones(50) / 50, mode=\"valid\")\n", " > threshold\n", " )[0]\n", "\n", " ucb_first = ucb_rounds[0] if len(ucb_rounds) > 0 else np.inf\n", " exp3_first = exp3_rounds[0] if len(exp3_rounds) > 0 else np.inf\n", "\n", " print(f\"\\nRounds to reach {int(threshold * 100)}% Paper play rate:\")\n", " print(f\" UCB: {ucb_first if ucb_first < np.inf else 'Never'}\")\n", " print(f\" EXP3A: {exp3_first if exp3_first < np.inf else 'Never'}\")" ] }, { "cell_type": "markdown", "id": "fbe7133c", "metadata": {}, "source": [ "## Summary\n", "\n", "UCB optimizes for stochastic regret → 90%+ convergence → exploitable\n", "Nash optimizes for worst-case → 33.3% uniform → never exploits \n", "EXP3A achieves both → 60-70% Paper vs 70% Rock opponent\n", "\n", "Mechanism: Importance weights create self-regulation. As p_i increases, weight 1/(p_i+γ) decreases, maintaining exploration of alternatives. Result: O(√T) regret in both stochastic and adversarial settings.\n", "\n", "References:\n", "- Auer et al. (2002): Original EXP3\n", "- Neu (2015): EXP3-IX variant used here" ] } ], "metadata": { "kernelspec": { "display_name": "bayesianbandits", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }