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Andoza:Game theory

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Traditional game theory

Related	Backward induction Bayesian efficiency Bayesian game Bertrand–Edgeworth model Core Edgeworth price cycle Incomplete contracts Inequity aversion Individual rationality Iterated elimination of dominated strategies Open-loop model Pareto efficiency Payoff dominance Price of anarchy Rational agent Rationalizable strategy Shapley value

Subfields

Key people

US	Alvin E. Roth David Gale Drew Fudenberg Eric Maskin Harold W. Kuhn Herbert Simon Herbert Scarf Jennifer Tour Chayes Kenneth Arrow Leonid Hurwicz Lloyd Shapley Martin Shubik Melvin Dresher Merrill M. Flood Paul Milgrom Peyton Young Robert Aumann Robert Axelrod Robert B. Wilson Roger Myerson Samuel Bowles Suzanne Scotchmer Thomas Schelling William Vickrey
Albert W. Tucker Amos Tversky Antoine Augustin Cournot Ariel Rubinstein David K. Levine David M. Kreps Donald B. Gillies Hervé Moulin Jean Tirole Jean-François Mertens Ken Binmore Olga Bondareva Oskar Morgenstern Reinhard Selten

Combinatorial game theory

Core concepts	Combinatorial explosion Determinacy Disjunctive sum First/Second-player win Game complexity Game tree Impartial game Misère Partisan game Solved game Sprague–Grundy theorem Strategy-stealing argument Zugzwang
Games	Chess Chomp Clobber Cram Domineering Hackenbush Nim Notakto Subtract a square Sylver coinage Toads and Frogs
Math tools	Mex Nimber On Numbers and Games Star Surreal number Winning Ways for Your Mathematical Plays
Search algorithms	Alpha–beta pruning Expectiminimax Minimax Monte Carlo tree search Negamax Paranoid Principal variation
Key people	Claude Shannon John Conway John von Neumann

Evolutionary game theory

Core concepts	Bishop–Cannings theorem Evolution and the Theory of Games Evolutionarily stable set Evolutionarily stable state Evolutionarily stable strategy Replicator equation Risk dominance Stochastically stable equilibrium Weak evolutionarily stable strategy
Games	Chicken Stag hunt
Applications	Cultural group selection Fisher's principle Mobbing Terminal investment hypothesis
Key people	John Maynard Smith George R. Price William Donald Hamilton Robert Axelrod

Mechanism design

Core concepts	Algorithmic mechanism design Bayesian-optimal mechanism Incentive compatibility Market design Myerson ironing Monotonicity Participation constraint Revelation principle Strategyproofness Vickrey–Clarke–Groves mechanism Virtual valuation
Theorems	Myerson–Satterthwaite theorem Revenue equivalence Border's theorem
Applications	Digital goods auction Knapsack auction Truthful cake-cutting

Other topics
Bertrand paradox Chainstore paradox Computational complexity of games Helly metric Multi-agent system PPAD-complete

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