**Game Theory: Terminology**

Prepared by:

Joseph Malkevitch

Department of Mathematics and Computer Studies

York College (CUNY)

Jamaica, New York

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 these articles are available via doing a search on the indented string in the list below.

Definitions

Normal-form game

Extensive-form game

Cooperative game

Succinct game

Information set

Hierarchy of beliefs

Preference

Equilibrium concepts

Nash equilibrium

Subgame perfection

Mertens-stable equilibrium

Bayesian-Nash

Perfect Bayesian

Trembling hand

Proper equilibrium

Epsilon-equilibrium

Correlated equilibrium

Sequential equilibrium

Quasi-perfect equilibrium

Evolutionarily stable strategy

Risk dominance

Core

Shapley value

Pareto efficiency

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

Cheap talk

Zero–sum game

Mechanism design

Bargaining problem

Stochastic game

Large poisson game

Nontransitive game

Global games

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

Cake cutting

Cournot game

Deadlock

Diner's dilemma

Guess 2/3 of the average

Kuhn poker

Nash bargaining game

Screening game

Prisoners and hats puzzle

Trust game

Princess and monster game

Monty Hall problem

Theorems

Minimax theorem

Nash's theorem

Purification theorem

Folk theorem

Revelation principle

Arrow's impossibility theorem

Key Figures

Kenneth Arrow

Robert Aumann

Kenneth Binmore

Samuel Bowles

Melvin Dresher

Merrill M. Flood

Drew Fudenberg

Donald B. Gillies

John Harsanyi

Leonid Hurwicz

David K. Levine

Daniel Kahneman

Harold W. Kuhn

Eric Maskin

Jean-François Mertens

Paul Milgrom

Oskar Morgenstern

Roger Myerson

John Nash

John von Neumann

Ariel Rubinstein

Thomas Schelling

Reinhard Selten

Herbert Simon

Lloyd Shapley

John Maynard Smith

Jean Tirole

Albert W. Tucker

William Vickrey

Robert B. Wilson

Peyton Young

See also

Tragedy of the commons

Tyranny of small decisions

All-pay auction

List of games in game theory

Confrontation Analysis

List of game theorists