This post aims to summarise key results from the literature of two-player games, both finite (with an absorbing state) and infinite (without an absorbing state). Canonical examples include competitive or recreational games like chess, tic-tac-toe (including the ultimate version), and attacker-follower games (known as Stackelberg games in game-theoretic economics). On Math Stack Exchange, for overContinueContinue reading “2-player games: Ergodic Theory and Ramsey Theory results”