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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
Games can have several features, a few of the most common are listed here.
Game | Players | Strategies per player |
No. of pure strategy Nash equilibria |
Sequential | Perfect information | Zero sum | Move by nature |
---|---|---|---|---|---|---|---|
Battle of the sexes | 2 | 2 | 2 | No | No | No | No |
Blotto games | 2 | variable | variable | No | No | Yes | No |
Cake cutting | N, usually 2 | infinite | variable[1] | Yes | Yes | Yes | No |
Centipede game | 2 | variable | 1 | Yes | Yes | No | No |
Chicken (aka hawk-dove) | 2 | 2 | 2 | No | No | No | No |
Coordination game | N | variable | >2 | No | No | No | No |
Cournot game | 2 | infinite[2] | 1 | No | No | No | No |
Deadlock | 2 | 2 | 1 | No | No | No | No |
Dictator game | 2 | infinite[2] | 1 | N/A[3] | N/A[3] | Yes | No |
Diner's dilemma | N | 2 | 1 | No | No | No | No |
Dollar auction | 2 | 2 | 0 | Yes | Yes | No | No |
El Farol bar | N | 2 | variable | No | No | No | No |
Game without a value | 2 | infinite | 0 | No | No | Yes | No |
Gift-exchange game | N, usually 2 | variable | 1 | Yes | Yes | No | No |
Guess 2/3 of the average | N | infinite | 1 | No | No | Maybe[4] | No |
Kuhn poker | 2 | 27 & 64 | 0 | Yes | No | Yes | Yes |
Matching pennies | 2 | 2 | 0 | No | No | Yes | No |
Minimum effort game aka weak-link game | N | infinite | infinite | No | No | No | No |
Muddy Children Puzzle | N | 2 | 1 | Yes | No | No | Yes |
Nash bargaining game | 2 | infinite[2] | infinite[2] | No | No | No | No |
Optional prisoner's dilemma | 2 | 3 | 1 | No | No | No | No |
Peace war game | N | variable | >2 | Yes | No | No | No |
Pirate game | N | infinite[2] | infinite[2] | Yes | Yes | No | No |
Platonia dilemma | N | 2 | No | Yes | No | No | |
Princess and monster game | 2 | infinite | 0 | No | No | Yes | No |
Prisoner's dilemma | 2 | 2 | 1 | No | No | No | No |
Public goods | N | infinite | 1 | No | No | No | No |
Rock, paper, scissors | 2 | 3 | 0 | No | No | Yes | No |
Screening game | 2 | variable | variable | Yes | No | No | Yes |
Signaling game | N | variable | variable | Yes | No | No | Yes |
Stag hunt | 2 | 2 | 2 | No | No | No | No |
Traveler's dilemma | 2 | N >> 1 | 1 | No | No | No | No |
Truel | 3 | 1-3 | infinite | Yes | Yes | No | No |
Trust game | 2 | infinite | 1 | Yes | Yes | No | No |
Ultimatum game | 2 | infinite[2] | infinite[2] | Yes | Yes | No | No |
Vickrey auction | N | infinite | 1 | No | No | No | Yes[5] |
Volunteer's dilemma | N | 2 | 2 | No | No | No | No |
War of attrition | 2 | 2 | 0 | No | No | No | No |