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