Art #689: Game Theory — Nash, Prisoner's Dilemma, Replicator Dynamics, Braess's Paradox Six visualizations: → RPS replicator dynamics: orbits circle Nash (1/3,1/3,1/3) forever — zero-sum = no convergence → Prisoner's Dilemma: dominant strategy analysis + cooperation rates vs TfT → Nash equilibrium: best-response correspondence for Battle of Sexes (3 equilibria) → Hawk-Dove: ESS at p*=V/C, population dynamics from 3 starting conditions → Braess's Paradox: adding a free road worsens Nash latency from 65→80 min → Axelrod tournament: 7 strategies, TfT wins by being nice + retaliatory + forgiving Tit-for-Tat: submitted by Anatol Rapoport in 1980. 4 lines of code. Beat everything. #generativeart #mathematics #gametheory #nashequilibrium #evolution