Topics in game theory

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Topics in game theory
Definitions Congestion game • Cooperative game • Determinacy • Escalation of commitment • Extensive-form game • First-player and second-player win • Game complexity • Game description language • Graphical game • Hierarchy of beliefs • Information set • Normal-form game • Preference • Sequential game • Simultaneous game • Simultaneous action selection • Solved game • Succinct game
Equilibrium
concepts
Bayesian Nash equilibrium • Berge equilibrium • Core • Correlated equilibrium • Epsilon-equilibrium • Evolutionarily stable strategy • Gibbs equilibrium • Mertens-stable equilibrium • Markov perfect equilibrium • Nash equilibrium • Pareto efficiency • Perfect Bayesian equilibrium • Proper equilibrium • Quantal response equilibrium • Quasi-perfect equilibrium • Risk dominance • Satisfaction equilibrium • Self-confirming equilibrium • Sequential equilibrium • Shapley value • Strong Nash equilibrium • Subgame perfection • Trembling hand
Strategies Backward induction • Bid shading • Collusion • Forward induction • Grim trigger • Markov strategy • Dominant strategies • Pure strategy • Mixed strategy • Strategy-stealing argument • Tit for tat
Classes
of games
Go • Chess • Infinite chess • Checkers • Tic-tac-toe • Prisoner's dilemma • Gift-exchange game • Optional prisoner's dilemma • Traveler's dilemma • Coordination game • Chicken • Centipede game • Lewis signaling game • Volunteer's dilemma • Dollar auction • Battle of the sexes • Stag hunt • Matching pennies • Ultimatum game • Rock paper scissors • Pirate game • Dictator game • Public goods game • Blotto game • War of attrition • El Farol Bar problem • Fair division • Fair cake-cutting • Cournot game • Deadlock • Diner's dilemma • Guess 2/3 of the average • Kuhn poker • Nash bargaining game • Induction puzzles • Trust game • Princess and monster game • Rendezvous problem
Games Go • Chess • Infinite chess • Checkers • Tic-tac-toe • Prisoner's dilemma • Gift-exchange game • Optional prisoner's dilemma • Traveler's dilemma • Coordination game • Chicken • Centipede game • Lewis signaling game • Volunteer's dilemma • Dollar auction • Battle of the sexes • Stag hunt • Matching pennies • Ultimatum game • Rock paper scissors • Pirate game • Dictator game • Public goods game • Blotto game • War of attrition • El Farol Bar problem • Fair division • Fair cake-cutting • Cournot game • Deadlock • Diner's dilemma • Guess 2/3 of the average • Kuhn poker • Nash bargaining game • Induction puzzles • Trust game • Princess and monster game • Rendezvous problem
Theorems Arrow's impossibility theorem • Aumann's agreement theorem • Folk theorem • Minimax theorem • Nash's theorem • Purification theorem • Revelation principle • Zermelo's theorem
Key
figures
Albert W. Tucker • Amos Tversky • Antoine Augustin Cournot • Ariel Rubinstein • Claude Shannon • Daniel Kahneman • David K. Levine • David M. Kreps • Donald B. Gillies • Drew Fudenberg • Eric Maskin • Harold W. Kuhn • Herbert Simon • Hervé Moulin • John Conway • Jean Tirole • Jean-François Mertens • Jennifer Tour Chayes • John Harsanyi • John Maynard Smith • John Nash • John von Neumann • Kenneth Arrow • Kenneth Binmore • Leonid Hurwicz • Lloyd Shapley • Melvin Dresher • Merrill M. Flood • Olga Bondareva • Oskar Morgenstern • Paul Milgrom • Peyton Young • Reinhard Selten • Robert Axelrod • Robert Aumann • Robert B. Wilson • Roger Myerson • Samuel Bowles • Suzanne Scotchmer • Thomas Schelling • William Vickrey
Miscellaneous All-pay auction • Alpha-beta pruning • Bertrand paradox • Bounded rationality • Combinatorial game theory • Confrontation analysis • Coopetition • Evolutionary game theory • First-move advantage in chess • Game Description Language • Game mechanics • Glossary of game theory • List of game theorists • List of games in game theory • No-win situation • Solving chess • Topological game • Tragedy of the commons • Tyranny of small decisions
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