A visual index to common types of 2x2 simultaneous games.
![]() Dominant strategy game A situation where the best strategy does not depend on what the opponent does. Example: social dilemmas. |
![]() Coordination game A situation where two persons ought to choose the same strategy. Examples: pure coordination games, battle of the sexes, stag hunt. |
![]() Pure coordination game A situation where two persons ought to choose the same strategy, one of them being more beneficial for both. Other names: Pareto coordination game. |
![]() Battle of the sexes A situation where two persons ought to chose the same strategy but they disagree about the best one. Other names: Bach or Stravinsky. |
![]() Anti-coordination game A situation where two persons ought to choose different strategies. Examples: chicken game, samaritan dilemma. |
![]() Discoordination game A situation where one person's incentive is to coordinate while the other person tries to avoid it. Example: matching pennies. |
![]() Social dilemma A situation where collective interests are at odds with individual interests. Examples: chicken game, prisoners' dilemma, deadlock, stag hunt. |
![]() Chicken game A situation where each person prefers not to yield to the other, but the outcome where neither person yields is the worst for both. Other names: Hawk-dove, snowdrift. |
![]() Stag hunt A situation where there is a conflict between safety and cooperation. Other names: assurance game, trust dilemma. |
![]() Deadlock A situation where two people ought to chose the strategy that is collectively most beneficial. |
![]() Prisoner's dilemma A situation where the most rational strategy is the one that yields the worst collective outcome. |
![]() Iterated prisoner's dilemma A repeated prisoner's dilemma with the opportunity to punish the other person for not cooperating. |
![]() Samaritan's dilemma |
![]() Revelation game |
The constraints within the payoff matrix are depicted by arrows going from the lowest payoff to the highest one. One player is white, the other one is brown. Blue circles are Nash equilibria.
The images are available in vector graphics format: Illustrator (.ai 1.5 MB) and PDF (500 KB). License info at the bottom right of this page. There might be some inaccuracies or mistakes in these icons. If you see a problem, please write to Pierre Dragicevic.
More games listed in Wikipedia and gametheory.net. See also Bryan Bruns. (2011). Visualizing the Topology of 2x2 Games: From Prisoner's Dilemma to Win-win. International Conference on Game Theory. Stony Brook, NY, July 11-15, 2011.
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