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Categories
All (4)
Axelrod tournament (1)
Nash equilibrium (1)
Python (4)
Q-learning (1)
beliefs (1)
best response (1)
dominance (1)
fictitious play (1)
game theory (4)
learning (1)
mixed strategies (1)
reinforcement learning (1)
repeated games (1)

Game Theory

This section contains the Game Theory stream, a four-notebook sequence on games, strategies, and learning. Notebook 1 introduces normal-form games, best responses, and Nash equilibrium, Notebook 2 adds mixed strategies and fictitious play, Notebook 3 turns to repeated games and the Axelrod tournament, and Notebook 4 lets Q-learning agents play a pricing game on their own and rediscover collusion. The notebooks are meant to be read in order.

Modules

Games, Best Responses, and Nash Equilibrium
The first notebook in the Game Theory stream. We meet games in normal form and some of their components: payoff matrices, dominance, best responses, and pure Nash…
16 Jul 2026

Mixed Strategies, Beliefs, and Fictitious Play
The second notebook in the Game Theory stream. We give our algorithm memory: it predicts the opponent from the whole history of play and best responds to the prediction.…
15 Jul 2026

Repeated Games, Cooperation, and the Axelrod Tournament
The third notebook in the Game Theory stream. The pricing game is repeated multiple times instead of just once: strategies become rules over history, grim trigger makes High…
16 Jul 2026

Learning Agents and Algorithmic Collusion
The fourth and final notebook in the Game Theory stream. Two independent Q-learning agents play the pricing game from Notebook 1 over and over, with no communication and no…
16 Jul 2026
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