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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.

Contents 1 Explanation of features 2 List of games 3 Notes 4 References

[edit] Explanation of features

Games can have several features, a few of the most common are listed here.

• Number of Players: Each person who makes a choice in a game or who receives a payoff from the outcome of those choices is a player.
• Strategies per player: In a game each player chooses from a set of possible actions, known as strategies. If the number is the same for all players, it is listed here.
• Number of pure strategy Nash equilibria: A Nash equilibrium is a set of strategies which represents mutual best responses to the other strategies. In other words, if every player is playing their part of a Nash equilibrium, no player has an incentive to unilaterally change her strategy. Considering only situations where players play a single strategy without randomizing (a pure strategy) a game can have any number of Nash equilibria.
• Sequential game: A game is sequential if one player performs her actions after another, otherwise the game is a simultaneous move game.
• Perfect information: A game has perfect information if it is a sequential game and every player knows the strategies chosen by the players who preceded them.
• Constant sum: A game is constant sum if the sum of the payoffs to every player are the same for every set of strategies. In these games one player gains if and only if another player loses.

[edit] List of games

Game	Players	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	infinite[1]	1	No	No	Yes
Deadlock	2	2	1	No	No	No
Dictator game	2	infinite[1]	1	N/A[2]	N/A[2]	Yes
Diner's dilemma	N	2	1	No	No	No
Dollar auction	2	2	0	Yes	Yes	No
El Farol bar	N	2	variable	No	No	No
Guess 2/3 of the average	N	infinite	1	No	No	Yes
Kuhn poker	2	12 & 4	0	Yes	No	Yes
Matching pennies	2	2	0	No	No	Yes
Minority Game	N	2	variable	No	No	No
Nash bargaining game	2	infinite[1]	infinite[1]	No	No	Yes
Pirate game	N	infinite[1]	infinite[1]	Yes	Yes	Yes
Prisoner's dilemma	2	2	1	No	No	No
Rock, Paper, Scissors	2	3	0	No	No	Yes
Signaling game	N	variable	variable	Yes	No	No
Stag hunt	2	2	2	No	No	No
Trust game	2	infinite	1	Yes	Yes	No
Ultimatum game	2	infinite[1]	infinite[1]	Yes	Yes	Yes

[edit] Notes

1. ↑ ^{1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7} There may be finite depending on how goods are divisible.
2. ↑ ^{2.0 2.1} Since the dictator game only involves one player actually choosing a strategy (the other does nothing), it cannot really be classified as sequential or perfect information.

[edit] References

• Arthur, W. Brian “Inductive Reasoning and Bounded Rationality”, American Economic Review (Papers and Proceedings), 84,406-411, 1994.
• Bolton, Katok, Zwick 1998, "Dictator game giving: Rules of fairness versus acts of kindness" International Journal of Game Theory, Volume 27, Number 2
• Gibbons, Robert (1992) A Primer in Game Theory, Harvester Wheatsheaf
• Glance, Huberman. (1994) "The dynamics of social dilemmas." Scientific American.
• H. W. Kuhn, Simplified Two-Person Poker; in H. W. Kuhn and A. W. Tucker (editors), Contributions to the Theory of Games, volume 1, pages 97-103, Princeton University Press, 1950.
• Martin J. Osborne & Ariel Rubinstein: A Course in Game Theory (1994).
• McKelvey, R. and T. Palfrey (1992) "An experimental study of the centipede game," Econometrica 60(4), 803-836.
• Nash, John (1950) "The Bargaining Problem" Econometrica 18: 155-162.
• Ochs, J. and A.E. Roth (1989) "An Experimental Study of Sequential Bargaining" American Economic Review 79: 355-384.
• Rapoport, A. (1966) The game of chicken, American Behavioral Scientist 10: 10-14.
• Rasmussen, Eric: Games and Information, 2004
• Shor, Mikhael Battle of the sexes. GameTheory.net.
• Shor, Mikhael Deadlock. GameTheory.net.
• Shor, Mikhael Matching Pennies. GameTheory.net.
• Shor, Mikhael Prisoner's Dilemma. GameTheory.net.
• Shubik, Martin "The Dollar Auction Game: A Paradox in Noncooperative Behavior and Escalation," The Journal of Conflict Resolution, 15, 1, 1971, 109-111.
• Sinervo, B., and Lively, C. (1996). "The Rock-Paper-Scissors Game and the evolution of alternative male strategies". Nature Vol.380, pp.240-243
• Skyrms, Brian. (2003) The stag hunt and Evolution of Social Structure Cambridge: Cambridge University Press.

This box: view • talk • edit	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 · Coordination game · Chicken · Battle of the sexes · Stag hunt · Matching pennies · Ultimatum game · Minority game · Rock, Paper, Scissors · Pirate game · Dictator game · Public goods game
Theorems	Minimax theorem · Purification theorems · Folk theorem · Revelation principle · Arrow's Theorem
Related topics	Mathematics · Economics · Behavioral economics · Evolutionary game theory · Population genetics · Behavioral ecology · Adaptive dynamics · List of game theorists

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This page uses content from the English-language version of Wikipedia. The original article was at List of games in game theory. The list of authors can be seen in the page history. As with Psychology Wiki, the text of Wikipedia is available under the GNU Free Documentation License.