**Game Theory Terminology and Key Words (2018)**

Prepared by:

Joseph Malkevitch

Department of Mathematics

York College (CUNY)

Jamaica, New York 11451

email:

__malkevitch@york.cuny.edu__

web page:

__http://york.cuny.edu/~malk__

Wikipedia offers a large variety of articles related to game theory. Many of

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Definitions

Normal-form game

Extensive-form game

Escalation of commitment

Graphical game

Cooperative game

Succinct game

Information set

Hierarchy of beliefs

Preference

Equilibrium concepts

Nash equilibrium

Subgame perfection

Mertens-stable equilibrium

Bayesian Nash equilibrium

Perfect Bayesian equilibrium

Trembling hand

Proper equilibrium

Epsilon-equilibrium

Correlated equilibrium

Sequential equilibrium

Quasi-perfect equilibrium

Evolutionarily stable strategy

Risk dominance

Core

Shapley value

Pareto efficiency

Gibbs equilibrium

Quantal response equilibrium

Self-confirming equilibrium

Strong Nash equilibrium

Markov perfect equilibrium

Strategies

Dominant strategies

Pure strategy

Mixed strategy

Tit for tat

Grim trigger

Collusion

Backward induction

Forward induction

Markov strategy

Classes of games

Symmetric game

Perfect information

Simultaneous game

Sequential game

Repeated game

Signaling game

Screening game

Cheap talk

Zero-sum game

Mechanism design

Bargaining problem

Stochastic game

n-player game

Large Poisson game

Nontransitive game

Global games

Strictly determined game

Potential game

Games

Prisoner's dilemma

Traveler's dilemma

Coordination game

Chicken

Centipede 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 games

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

Prisoners and hats puzzle

Trust game

Princess and monster game

Monty Hall problem

Rendezvous problem

Theorems

Minimax theorem

Nash's theorem

Purification theorem

Folk theorem

Revelation principle

Arrow's impossibility theorem

Key figures

Albert W. Tucker

Amos Tversky

Ariel Rubinstein

Daniel Kahneman

David K. Levine

David M. Kreps

Donald B. Gillies

Drew Fudenberg

Eric Maskin

Harold W. Kuhn

Herbert Simon

Hervé Moulin

Jean Tirole

Jean-François Mertens

John Harsanyi

John Maynard Smith

John Nash

John von Neumann

Kenneth Arrow

Kenneth Binmore

Leonid Hurwicz

Lloyd Shapley

Melvin Dresher

Merrill M. Flood

Oskar Morgenstern

Paul Milgrom

Peyton Young

Reinhard Selten

Robert Axelrod

Robert Aumann

Robert B. Wilson

Roger Myerson

Samuel Bowles

Thomas Schelling

William Vickrey

Some additional names:

Michel Balinski

David Gale

Alvin Roth

Donald Saari

See also

All-pay auction

Alpha–beta pruning

Bertrand paradox

Bounded rationality

Combinatorial game theory

Confrontation analysis

Coopetition

List of game theorists

List of games in game theory

No-win situation

Topological game

Tragedy of the commons

Tyranny of small decisions