List of games in game theory

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Game theory studies strategic interaction between individuals in situations called games. Classes of these games have been given names. This is a list of the most commonly studied games.

Game Strategies per player Number of pure strategy Nash equilibria Sequential Perfect information Constant sum (e.g. Zero sum)
Battle of the sexes 2 2 2 No No No
Centipede game 2 variable 1 Yes Yes No
Chicken (aka hawk-dove) 2 2 2 No No No
Coordination game N variable >2 No No No
Cournot game 2 1 No No Yes
Deadlock 2 2 1 No No No
Dictator game 2 infinite 1 No No Yes
Diner's dilemma N 2 1 No No No
Dollar auction 2 2 None Yes Yes No
El Farol bar N 2 0 No No No
Guess 2/3 of the average N infinite 1 No No Yes
Kuhn poker 2 Yes Yes
Matching pennies 2 2 0 No No Yes
Minority Game N No No Yes
Nash bargaining game 2 infinite infinite No No Yes
Prisoner's dilemma 2 2 1 No No No
Rock, Scissors, Paper 2 3 0 No No Yes
Signaling game N variable variable Yes both No
Stag hunt 2 2 2 No No No
Trust game 2 infinite Yes Yes No
Ultimatum game 2 infinite infinite Yes Yes Yes

Game		Strategies per player	Number of pure strategy Nash equilibria	Sequential	Perfect information	Constant sum (e.g. Zero sum)
Battle of the sexes	2	2	2	No	No	No
Centipede game	2	variable	1	Yes	Yes	No
Chicken (aka hawk-dove)	2	2	2	No	No	No
Coordination game	N	variable	>2	No	No	No
Cournot game	2		1	No	No	Yes
Deadlock	2	2	1	No	No	No
Dictator game	2	infinite	1	No	No	Yes
Diner's dilemma	N	2	1	No	No	No
Dollar auction	2	2	None	Yes	Yes	No
El Farol bar	N	2	0	No	No	No
Guess 2/3 of the average	N	infinite	1	No	No	Yes
Kuhn poker	2			Yes		Yes
Matching pennies	2	2	0	No	No	Yes
Minority Game	N			No	No	Yes
Nash bargaining game	2	infinite	infinite	No	No	Yes
Prisoner's dilemma	2	2	1	No	No	No
Rock, Scissors, Paper	2	3	0	No	No	Yes
Signaling game	N	variable	variable	Yes	both	No
Stag hunt	2	2	2	No	No	No
Trust game	2	infinite		Yes	Yes	No
Ultimatum game	2	infinite	infinite	Yes	Yes	Yes

Notes

↑ N means that the game, as defined, can be for any number of players
↑ There may be finite depending on how goods are divisible.

[ v]·[ d]·[ e]	Topics in game theory
Definitions	Normal form game · Extensive form game · Cooperative game · Information set · Preference
Equilibrium concepts	Nash equilibrium · Subgame perfection · Bayes-Nash · Trembling hand · Correlated equilibrium · Sequential equilibrium · Quasi-perfect equilibrium · Evolutionarily stable strategy
Strategies	Dominant strategies · Mixed strategy · Grim trigger · Tit for Tat
Classes of games	Symmetric game · Perfect information · Dynamic game · Repeated game · Signaling game · Cheap talk · Zero-sum game · Mechanism design
Games	Prisoner's dilemma · Chicken · Stag hunt · Ultimatum game · Coordination game · Matching pennies · Minority game · Rock, Paper, Scissors · Pirate game · Dictator game
Theorems	Minimax theorem · Purification theorems · Folk theorem · Revelation principle · Bishop-Cannings theorem
Related topics	Mathematics · Economics · Behavioral economics · Evolutionary biology · Evolutionary game theory · Population genetics · Behavioral ecology · Adaptive dynamics · List of game theorists

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