Game Theory

<p><a title="Game theory" href="https://en.wikipedia.org/wiki/Game_theory">Game theory</a> 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</p>

<h2>Contents</h2>

<ul>

<li class="toclevel-1 tocsection-1"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#Explanation_of_features"><span class="tocnumber">1Explanation</span><span class="toctext"> of features</span></a></li>

<li class="toclevel-1 tocsection-2"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#List_of_games"><span class="tocnumber">2List</span><span class="toctext"> of games</span></a></li>

<li class="toclevel-1 tocsection-3"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#External_links"><span class="tocnumber">3External</span><span class="toctext"> links</span></a></li>

<li class="toclevel-1 tocsection-4"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#Notes"><span class="tocnumber">4Notes</span></a></li>

<li class="toclevel-1 tocsection-5"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#References"><span class="tocnumber">5References</span></a></li>

</ul>

</div>

<h2><span id="Explanation_of_features" class="mw-headline">Explanation of features</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a title="Edit section: Explanation of features" href="https://en.wikipedia.org/w/index.php?title=List_of_games_in_game_theory&action=edit&section=1">edit</a><span class="mw-editsection-bracket">]</span></span></h2>

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

<ul>

<li><strong>Number of players</strong>: Each person who makes a choice in a game or who receives a payoff from the outcome of those choices is a player.</li>

<li><strong>Strategies per player</strong>: In a game each player chooses from a set of possible actions, known as pure strategies. If the number is the same for all players, it is listed here.</li>

<li><strong>Number of <a class="mw-redirect" title="Pure strategy" href="https://en.wikipedia.org/wiki/Pure_strategy">pure strategy</a> <a class="mw-redirect" title="Nash equilibria" href="https://en.wikipedia.org/wiki/Nash_equilibria">Nash equilibria</a></strong>: A Nash equilibrium is a set of strategies which represents mutual <a title="Best response" href="https://en.wikipedia.org/wiki/Best_response">best responses</a> 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 his or 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.</li>

<li><strong><a title="Sequential game" href="https://en.wikipedia.org/wiki/Sequential_game">Sequential game</a></strong>: A game is sequential if one player performs her/his actions after another player; otherwise, the game is a <a title="Simultaneous game" href="https://en.wikipedia.org/wiki/Simultaneous_game">simultaneous move game</a>.</li>

<li><strong><a title="Perfect information" href="https://en.wikipedia.org/wiki/Perfect_information">Perfect information</a></strong>: A game has perfect information if it is a sequential game and every player knows the strategies chosen by the players who preceded them.</li>

<li><strong><a class="mw-redirect" title="Constant sum" href="https://en.wikipedia.org/wiki/Constant_sum">Constant sum</a></strong>: A game is constant sum if the sum of the payoffs to every player are the same for every single set of strategies. In these games one player gains if and only if another player loses. A constant sum game can be converted into a <strong><a class="mw-redirect" title="Zero sum" href="https://en.wikipedia.org/wiki/Zero_sum">zero sum</a> game</strong> by subtracting a fixed value from all payoffs, leaving their relative order unchanged.</li>

</ul>

<h2><span id="List_of_games" class="mw-headline">List of games</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a title="Edit section: List of games" href="https://en.wikipedia.org/w/index.php?title=List_of_games_in_game_theory&action=edit&section=2">edit</a><span class="mw-editsection-bracket">]</span></span></h2>

<thead>

<tr>

<th class="headerSort" tabindex="0" title="Sort ascending">GamePlayersStrategies</th>

<th class="headerSort" tabindex="0" title="Sort ascending">
per player</th>

<th class="headerSort" tabindex="0" title="Sort ascending">No. of <a class="mw-redirect" title="Pure strategy" href="https://en.wikipedia.org/wiki/Pure_strategy">pure strategy</a>
<a class="mw-redirect" title="Nash equilibria" href="https://en.wikipedia.org/wiki/Nash_equilibria">Nash equilibria</a></th>

<th class="headerSort" tabindex="0" title="Sort ascending"><a title="Sequential game" href="https://en.wikipedia.org/wiki/Sequential_game">Sequential</a></th>

<th class="headerSort" tabindex="0" title="Sort ascending"><a title="Perfect information" href="https://en.wikipedia.org/wiki/Perfect_information">Perfect</a>
<a title="Perfect information" href="https://en.wikipedia.org/wiki/Perfect_information">information</a></th>

</tr>

</thead>

<tbody>

<tr>

<td><a title="Battle of the sexes (game theory)" href="https://en.wikipedia.org/wiki/Battle_of_the_sexes_(game_theory)">Battle of the sexes</a></td>

<td>222NoNoNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Blotto games" href="https://en.wikipedia.org/wiki/Blotto_games">Blotto games</a></td>

<td>2variablevariableNoNoYes</td>

</tr>

<tr>

<td><a title="Fair cake-cutting" href="https://en.wikipedia.org/wiki/Fair_cake-cutting">Cake cutting</a></td>

<td><a title="N-player game" href="https://en.wikipedia.org/wiki/N-player_game"><em>N</em></a>, usually 2</td>

<td>infinitevariable</td>

<td>YesYesYes</td>

</tr>

<tr>

<td><a title="Centipede game" href="https://en.wikipedia.org/wiki/Centipede_game">Centipede game</a></td>

<td>2variable1YesYesNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Game of chicken" href="https://en.wikipedia.org/wiki/Game_of_chicken">Chicken</a> (aka hawk-dove)</td>

<td>222NoNoNo</td>

</tr>

<tr>

<td><a title="Coordination game" href="https://en.wikipedia.org/wiki/Coordination_game">Coordination game</a></td>

<td>variable</td>

<td>>2NoNoNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Cournot game" href="https://en.wikipedia.org/wiki/Cournot_game">Cournot game</a></td>

<td>2infinite</td>

<td>1NoNoNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Deadlock (game)" href="https://en.wikipedia.org/wiki/Deadlock_(game)">Deadlock</a></td>

<td>221NoNoNo</td>

</tr>

<tr>

<td><a title="Dictator game" href="https://en.wikipedia.org/wiki/Dictator_game">Dictator game</a></td>

<td>2infinite</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Diner's dilemma" href="https://en.wikipedia.org/wiki/Diner%27s_dilemma">Diner's dilemma</a></td>

<td>21NoNoNo</td>

</tr>

<tr>

<td><a title="Dollar auction" href="https://en.wikipedia.org/wiki/Dollar_auction">Dollar auction</a></td>

<td>220YesYesNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="El Farol bar problem" href="https://en.wikipedia.org/wiki/El_Farol_bar_problem">El Farol bar</a></td>

<td>2variableNoNoNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Example of a game without a value" href="https://en.wikipedia.org/wiki/Example_of_a_game_without_a_value">Game without a value</a></td>

<td>2infinite0NoNoYes</td>

</tr>

<tr>

<td><a title="Guess 2/3 of the average" href="https://en.wikipedia.org/wiki/Guess_2/3_of_the_average">Guess 2/3 of the average</a></td>

<td>infinite1NoNoMaybe</td>

</tr>

<tr>

<td><a title="Kuhn poker" href="https://en.wikipedia.org/wiki/Kuhn_poker">Kuhn poker</a></td>

<td>27 & 640YesNoYes</td>

</tr>

<tr>

<td><a title="Matching pennies" href="https://en.wikipedia.org/wiki/Matching_pennies">Matching pennies</a></td>

<td>220NoNoYes</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Nash bargaining game" href="https://en.wikipedia.org/wiki/Nash_bargaining_game">Nash bargaining game</a></td>

<td>2infinite</td>

<td>infinite<sup id="cite_ref-infinite_2-3" class="reference"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_note-infinite-2">[2]</a></sup></td>

<td>NoNoNo</td>

</tr>

<tr>

<td><a title="Optional prisoner's dilemma" href="https://en.wikipedia.org/wiki/Optional_prisoner%27s_dilemma">Optional prisoner's dilemma</a></td>

<td>231NoNoNo</td>

</tr>

<tr>

<td><a title="Peace war game" href="https://en.wikipedia.org/wiki/Peace_war_game">Peace war game</a></td>

<td>variable</td>

<td>>2YesNoNo</td>

</tr>

<tr>

<td><a title="Pirate game" href="https://en.wikipedia.org/wiki/Pirate_game">Pirate game</a></td>

<td>infinite<sup id="cite_ref-infinite_2-4" class="reference"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_note-infinite-2">[2]</a></sup></td>

<td>infinite<sup id="cite_ref-infinite_2-5" class="reference"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_note-infinite-2">[2]</a></sup></td>

<td>YesYesNo</td>

</tr>

<tr>

<td><a title="Platonia dilemma" href="https://en.wikipedia.org/wiki/Platonia_dilemma">Platonia dilemma</a></td>

<td>2^<em>N</em> - 1NoYesNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Princess and monster game" href="https://en.wikipedia.org/wiki/Princess_and_monster_game">Princess and monster game</a></td>

<td>2infinite0NoNoYes</td>

</tr>

<tr>

<td><a title="Prisoner's dilemma" href="https://en.wikipedia.org/wiki/Prisoner%27s_dilemma">Prisoner's dilemma</a></td>

<td>221NoNoNo</td>

</tr>

<tr>

<td><a title="Public goods game" href="https://en.wikipedia.org/wiki/Public_goods_game">Public goods</a></td>

<td>infinite1NoNoNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Rock, paper, scissors" href="https://en.wikipedia.org/wiki/Rock,paper,scissors">Rock, paper, scissors</a></td>

<td>230NoNoYes</td>

</tr>

<tr>

<td><a title="Screening game" href="https://en.wikipedia.org/wiki/Screening_game">Screening game</a></td>

<td>2variablevariableYesNoNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Signaling games" href="https://en.wikipedia.org/wiki/Signaling_games">Signaling game</a></td>

<td>variablevariableYesNoNo</td>

</tr>

<tr>

<td>222NoNoNo</td>

</tr>

<tr>

<td><a title="Traveler's dilemma" href="https://en.wikipedia.org/wiki/Traveler%27s_dilemma">Traveler's dilemma</a></td>

<td>>> 11NoNoNo</td>

</tr>

<tr>

<td><a title="Truel" href="https://en.wikipedia.org/wiki/Truel">Truel</a></td>

<td>31-3infiniteYesYesNo</td>

</tr>

<tr>

<td><a class="mw-redirect" title="Trust game" href="https://en.wikipedia.org/wiki/Trust_game">Trust game</a></td>

<td>2infinite1YesYesNo</td>

</tr>

<tr>

<td><a title="Ultimatum game" href="https://en.wikipedia.org/wiki/Ultimatum_game">Ultimatum game</a></td>

<td>2infinite</td>

<td>infinite<sup id="cite_ref-infinite_2-7" class="reference"><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_note-infinite-2">[2]</a></sup></td>

<td>YesYesNo</td>

</tr>

<tr>

<td><a title="Volunteer's dilemma" href="https://en.wikipedia.org/wiki/Volunteer%27s_dilemma">Volunteer's dilemma</a></td>

<td>22NoNoNo</td>

</tr>

<tr>

<td><a title="War of attrition (game)" href="https://en.wikipedia.org/wiki/War_of_attrition_(game)">War of attrition</a></td>

<td>220NoNoNo</td>

</tr>

</tbody>

</table>

<h2><span id="External_links" class="mw-headline">External links</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a title="Edit section: External links" href="https://en.wikipedia.org/w/index.php?title=List_of_games_in_game_theory&action=edit&section=3">edit</a><span class="mw-editsection-bracket">]</span></span></h2>

<ul>

<li><a class="external text" href="http://www.gametheory.net/Dictionary/games/" rel="nofollow">List of games from gametheory.net</a></li>

<li><a class="external text" href="http://www.lri.fr/_{dragice/gameicons/}" rel="nofollow">A visual index to common 2x2 games</a></li>

</ul>

<h2><span id="Notes" class="mw-headline">Notes</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a title="Edit section: Notes" href="https://en.wikipedia.org/w/index.php?title=List_of_games_in_game_theory&action=edit&section=4">edit</a><span class="mw-editsection-bracket">]</span></span></h2>

<li id="cite_note-flavor-1"><span class="mw-cite-backlink"><strong><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-flavor_1-0"><span class="cite-accessibility-label">Jump up</span>^{</a></strong></span> }<span class="reference-text">For the cake cutting problem, there is a simple solution if the object to be divided is homogenous; one person cuts, the other chooses who gets which piece (continued for each player). With a non-homogenous object, such as a half chocolate/half vanilla cake or a patch of land with a single source of water, the solutions are far more complex.</span></li>

<li id="cite_note-infinite-2"><span class="mw-cite-backlink">^ <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-infinite_2-0"><span class="cite-accessibility-label">Jump up to:</span><sup><em><strong>a</strong></em></sup></a> <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-infinite_2-1"><sup><em><strong>b</strong></em></sup></a> <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-infinite_2-2"><sup><em><strong>c</strong></em></sup></a> <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-infinite_2-3"><sup><em><strong>d</strong></em></sup></a> <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-infinite_2-4"><sup><em><strong>e</strong></em></sup></a> <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-infinite_2-5"><sup><em><strong>f</strong></em></sup></a> <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-infinite_2-6"><sup><em><strong>g</strong></em></sup></a> <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-infinite_2-7"><sup><em><strong>h</strong></em></sup></a></span> <span class="reference-text">There may be finite strategies depending on how goods are divisible</span></li>

<li id="cite_note-Dictator-3"><span class="mw-cite-backlink">^ <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-Dictator_3-0"><span class="cite-accessibility-label">Jump up to:</span><sup><em><strong>a</strong></em></sup></a> <a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-Dictator_3-1"><sup><em><strong>b</strong></em></sup></a></span> <span class="reference-text">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.</span></li>

<li id="cite_note-4"><span class="mw-cite-backlink"><strong><a href="https://en.wikipedia.org/wiki/List_of_games_in_game_theory#cite_ref-4"><span class="cite-accessibility-label">Jump up</span>^{</a></strong></span> }<span class="reference-text">Potentially zero-sum, provided that the prize is split among all players who make an optimal guess. Otherwise non-zero sum.</span></li>

</ol>

</div>

<h2><span id="References" class="mw-headline">References</span><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a title="Edit section: References" href="https://en.wikipedia.org/w/index.php?title=List_of_games_in_game_theory&action=edit&section=5">edit</a><span class="mw-editsection-bracket">]</span></span></h2>

<ul>

<li>Arthur, W. Brian “Inductive Reasoning and Bounded Rationality”, <em>American Economic Review (Papers and Proceedings)</em>, 84,406-411, 1994.</li>

<li>Bolton, Katok, Zwick 1998, "Dictator game giving: Rules of fairness versus acts of kindness" <em>International Journal of Game Theory</em>, Volume 27, Number 2</li>

<li>Gibbons, Robert (1992) A Primer in Game Theory, Harvester Wheatsheaf</li>

<li>Glance, Huberman. (1994) "The dynamics of social dilemmas." <em>Scientific American.</em></li>

<li>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.</li>

<li>Martin J. Osborne & <a title="Ariel Rubinstein" href="https://en.wikipedia.org/wiki/Ariel_Rubinstein">Ariel Rubinstein</a>: A Course in Game Theory (1994).</li>

<li>McKelvey, R. and T. Palfrey (1992) "An experimental study of the centipede game," <em>Econometrica</em> 60(4), 803-836.</li>

<li><a class="mw-redirect" title="John Nash (mathematician)" href="https://en.wikipedia.org/wiki/John_Nash_(mathematician)">Nash, John</a> (1950) "The Bargaining Problem" Econometrica 18: 155-162.</li>

<li>Ochs, J. and A.E. Roth (1989) "An Experimental Study of Sequential Bargaining" American Economic Review 79: 355-384.</li>

<li><a title="Anatol Rapoport" href="https://en.wikipedia.org/wiki/Anatol_Rapoport">Rapoport, A</a>. (1966) The game of chicken, American Behavioral Scientist 10: 10-14.</li>

<li>Rasmussen, Eric: Games and Information, 2004</li>

<li><cite class="citation web">Shor, Mikhael. <a class="external text" href="http://www.gametheory.net/dictionary/BattleoftheSexes.html" rel="nofollow">"Battle of the sexes"</a>. GameTheory.net.<span class="reference-accessdate"> Retrieved <span class="nowrap">September 30,</span> 2006</span>.</cite></li>

<li><cite class="citation web">Shor, Mikhael. <a class="external text" href="http://www.gametheory.net/dictionary/Games/Deadlock.html" rel="nofollow">"Deadlock"</a>. GameTheory.net.<span class="reference-accessdate"> Retrieved <span class="nowrap">September 30,</span> 2006</span>.</cite></li>

<li><cite class="citation web">Shor, Mikhael. <a class="external text" href="http://www.gametheory.net/dictionary/Games/Matchingpennies.html" rel="nofollow">"Matching Pennies"</a>. GameTheory.net.<span class="reference-accessdate"> Retrieved <span class="nowrap">September 30,</span> 2006</span>.</cite></li>

<li><cite class="citation web">Shor, Mikhael. <a class="external text" href="http://www.gametheory.net/dictionary/Prisonersdilemma.html" rel="nofollow">"Prisoner's Dilemma"</a>. GameTheory.net.<span class="reference-accessdate"> Retrieved <span class="nowrap">September 30,</span> 2006</span>.</cite></li>

<li><a title="Martin Shubik" href="https://en.wikipedia.org/wiki/Martin_Shubik">Shubik, Martin</a> "The Dollar Auction Game: A Paradox in Noncooperative Behavior and Escalation," The <em>Journal of Conflict Resolution</em>, 15, 1, 1971, 109-111.</li>

<li>Sinervo, B., and Lively, C. (1996). "The Rock-Paper-Scissors Game and the evolution of alternative male strategies". Nature Vol.380, pp. 240–243</li>

<li>Skyrms, Brian. (2003) The stag hunt and Evolution of Social Structure Cambridge: Cambridge University Press.</li>

</ul>

<tbody>

<tr>

<ul>

</ul>

</div>

<div id="Topics_in_game_theory">Topics in <a title="Game theory" href="https://en.wikipedia.org/wiki/Game_theory">game theory</a></div>

</th>

</tr>

<tr>

<th class="navbox-group" scope="row">Definitions</th>

<div>

<ul>

<li><a class="mw-redirect" title="Cooperative game" href="https://en.wikipedia.org/wiki/Cooperative_game">Cooperative game</a></li>

<li><a title="Determinacy" href="https://en.wikipedia.org/wiki/Determinacy">Determinacy</a></li>

<li><a title="Escalation of commitment" href="https://en.wikipedia.org/wiki/Escalation_of_commitment">Escalation of commitment</a></li>

<li><a title="Extensive-form game" href="https://en.wikipedia.org/wiki/Extensive-form_game">Extensive-form game</a></li>

<li><a title="First-player and second-player win" href="https://en.wikipedia.org/wiki/First-player_and_second-player_win">First-player and second-player win</a></li>

<li><a title="Game complexity" href="https://en.wikipedia.org/wiki/Game_complexity">Game complexity</a></li>

<li><a title="Graphical game theory" href="https://en.wikipedia.org/wiki/Graphical_game_theory">Graphical game</a></li>

<li><a title="Hierarchy of beliefs" href="https://en.wikipedia.org/wiki/Hierarchy_of_beliefs">Hierarchy of beliefs</a></li>

<li><a title="Information set (game theory)" href="https://en.wikipedia.org/wiki/Information_set_(game_theory)">Information set</a></li>

<li><a title="Normal-form game" href="https://en.wikipedia.org/wiki/Normal-form_game">Normal-form game</a></li>

<li><a title="Preference (economics)" href="https://en.wikipedia.org/wiki/Preference_(economics)">Preference</a></li>

<li><a title="Sequential game" href="https://en.wikipedia.org/wiki/Sequential_game">Sequential game</a></li>

<li><a title="Simultaneous game" href="https://en.wikipedia.org/wiki/Simultaneous_game">Simultaneous game</a></li>

<li><a title="Simultaneous action selection" href="https://en.wikipedia.org/wiki/Simultaneous_action_selection">Simultaneous action selection</a></li>

<li><a title="Solved game" href="https://en.wikipedia.org/wiki/Solved_game">Solved game</a></li>

<li><a title="Succinct game" href="https://en.wikipedia.org/wiki/Succinct_game">Succinct game</a></li>

</ul>

</div>

</td>

</tr>

<tr>

<th class="navbox-group" scope="row"><a title="Economic equilibrium" href="https://en.wikipedia.org/wiki/Economic_equilibrium">Equilibrium</a>
<a title="Solution concept" href="https://en.wikipedia.org/wiki/Solution_concept">concepts</a></th>

<div>

<ul>

<li><a title="Nash equilibrium" href="https://en.wikipedia.org/wiki/Nash_equilibrium">Nash equilibrium</a></li>

<li><a title="Subgame perfect equilibrium" href="https://en.wikipedia.org/wiki/Subgame_perfect_equilibrium">Subgame perfection</a></li>

<li><a title="Mertens-stable equilibrium" href="https://en.wikipedia.org/wiki/Mertens-stable_equilibrium">Mertens-stable equilibrium</a></li>

<li><a class="mw-redirect" title="Bayesian Nash equilibrium" href="https://en.wikipedia.org/wiki/Bayesian_Nash_equilibrium">Bayesian Nash equilibrium</a></li>

<li><a title="Perfect Bayesian equilibrium" href="https://en.wikipedia.org/wiki/Perfect_Bayesian_equilibrium">Perfect Bayesian equilibrium</a></li>

<li><a title="Trembling hand perfect equilibrium" href="https://en.wikipedia.org/wiki/Trembling_hand_perfect_equilibrium">Trembling hand</a></li>

<li><a title="Proper equilibrium" href="https://en.wikipedia.org/wiki/Proper_equilibrium">Proper equilibrium</a></li>

<li><a title="Epsilon-equilibrium" href="https://en.wikipedia.org/wiki/Epsilon-equilibrium">Epsilon-equilibrium</a></li>

<li><a title="Correlated equilibrium" href="https://en.wikipedia.org/wiki/Correlated_equilibrium">Correlated equilibrium</a></li>

<li><a title="Sequential equilibrium" href="https://en.wikipedia.org/wiki/Sequential_equilibrium">Sequential equilibrium</a></li>

<li><a title="Quasi-perfect equilibrium" href="https://en.wikipedia.org/wiki/Quasi-perfect_equilibrium">Quasi-perfect equilibrium</a></li>

<li><a title="Evolutionarily stable strategy" href="https://en.wikipedia.org/wiki/Evolutionarily_stable_strategy">Evolutionarily stable strategy</a></li>

<li><a title="Risk dominance" href="https://en.wikipedia.org/wiki/Risk_dominance">Risk dominance</a></li>

<li><a title="Shapley value" href="https://en.wikipedia.org/wiki/Shapley_value">Shapley value</a></li>

<li><a title="Pareto efficiency" href="https://en.wikipedia.org/wiki/Pareto_efficiency">Pareto efficiency</a></li>

<li><a title="Potential game" href="https://en.wikipedia.org/wiki/Potential_game#Bounded_Rational_Models">Gibbs equilibrium</a></li>

<li><a title="Quantal response equilibrium" href="https://en.wikipedia.org/wiki/Quantal_response_equilibrium">Quantal response equilibrium</a></li>

<li><a title="Self-confirming equilibrium" href="https://en.wikipedia.org/wiki/Self-confirming_equilibrium">Self-confirming equilibrium</a></li>

<li><a title="Strong Nash equilibrium" href="https://en.wikipedia.org/wiki/Strong_Nash_equilibrium">Strong Nash equilibrium</a></li>

<li><a title="Markov perfect equilibrium" href="https://en.wikipedia.org/wiki/Markov_perfect_equilibrium">Markov perfect equilibrium</a></li>

</ul>

</div>

</td>

</tr>

<tr>

<th class="navbox-group" scope="row"><a title="Strategy (game theory)" href="https://en.wikipedia.org/wiki/Strategy_(game_theory)">Strategies</a></th>

<div>

<ul>

<li><a class="mw-redirect" title="Dominance (game theory)" href="https://en.wikipedia.org/wiki/Dominance_(game_theory)">Dominant strategies</a></li>

<li><a title="Strategy (game theory)" href="https://en.wikipedia.org/wiki/Strategy_(game_theory)">Pure strategy</a></li>

<li><a title="Strategy (game theory)" href="https://en.wikipedia.org/wiki/Strategy_(game_theory)#Mixed_strategy">Mixed strategy</a></li>

<li><a title="Strategy-stealing argument" href="https://en.wikipedia.org/wiki/Strategy-stealing_argument">Strategy-stealing argument</a></li>

<li><a title="Grim trigger" href="https://en.wikipedia.org/wiki/Grim_trigger">Grim trigger</a></li>

<li><a title="Collusion" href="https://en.wikipedia.org/wiki/Collusion">Collusion</a></li>

<li><a title="Backward induction" href="https://en.wikipedia.org/wiki/Backward_induction">Backward induction</a></li>

<li><a class="mw-redirect" title="Forward induction" href="https://en.wikipedia.org/wiki/Forward_induction">Forward induction</a></li>

<li><a title="Markov strategy" href="https://en.wikipedia.org/wiki/Markov_strategy">Markov strategy</a></li>

</ul>

</div>

</td>

</tr>

<tr>

<th class="navbox-group" scope="row">Classes
of games</th>

<div>

<ul>

<li><a title="Symmetric game" href="https://en.wikipedia.org/wiki/Symmetric_game">Symmetric game</a></li>

<li><a title="Perfect information" href="https://en.wikipedia.org/wiki/Perfect_information">Perfect information</a></li>

<li><a title="Repeated game" href="https://en.wikipedia.org/wiki/Repeated_game">Repeated game</a></li>

<li><a title="Signaling game" href="https://en.wikipedia.org/wiki/Signaling_game">Signaling game</a></li>

<li><a title="Screening game" href="https://en.wikipedia.org/wiki/Screening_game">Screening game</a></li>

<li><a title="Cheap talk" href="https://en.wikipedia.org/wiki/Cheap_talk">Cheap talk</a></li>

<li><a title="Mechanism design" href="https://en.wikipedia.org/wiki/Mechanism_design">Mechanism design</a></li>

<li><a title="Bargaining problem" href="https://en.wikipedia.org/wiki/Bargaining_problem">Bargaining problem</a></li>

<li><a title="Stochastic game" href="https://en.wikipedia.org/wiki/Stochastic_game">Stochastic game</a></li>

<li><a title="N-player game" href="https://en.wikipedia.org/wiki/N-player_game"><em>n</em>-player game</a></li>

<li><a class="mw-redirect" title="Large Poisson game" href="https://en.wikipedia.org/wiki/Large_Poisson_game">Large Poisson game</a></li>

<li><a title="Nontransitive game" href="https://en.wikipedia.org/wiki/Nontransitive_game">Nontransitive game</a></li>

<li><a title="Global game" href="https://en.wikipedia.org/wiki/Global_game">Global game</a></li>

<li><a title="Strictly determined game" href="https://en.wikipedia.org/wiki/Strictly_determined_game">Strictly determined game</a></li>

<li><a title="Potential game" href="https://en.wikipedia.org/wiki/Potential_game">Potential game</a></li>

</ul>

</div>

</td>

</tr>

<tr>

<th class="navbox-group" scope="row"><a class="mw-selflink selflink">Games</a></th>

<div>

<ul>

<li><a title="Chess" href="https://en.wikipedia.org/wiki/Chess">Chess</a></li>

<li><a title="Infinite chess" href="https://en.wikipedia.org/wiki/Infinite_chess">Infinite chess</a></li>

<li><a title="Draughts" href="https://en.wikipedia.org/wiki/Draughts">Checkers</a></li>

<li><a title="Prisoner's dilemma" href="https://en.wikipedia.org/wiki/Prisoner%27s_dilemma">Prisoner's dilemma</a></li>

<li><a title="Optional prisoner's dilemma" href="https://en.wikipedia.org/wiki/Optional_prisoner%27s_dilemma">Optional prisoner's dilemma</a></li>

<li><a title="Traveler's dilemma" href="https://en.wikipedia.org/wiki/Traveler%27s_dilemma">Traveler's dilemma</a></li>

<li><a title="Coordination game" href="https://en.wikipedia.org/wiki/Coordination_game">Coordination game</a></li>

<li><a title="Chicken (game)" href="https://en.wikipedia.org/wiki/Chicken_(game)">Chicken</a></li>

<li><a title="Centipede game" href="https://en.wikipedia.org/wiki/Centipede_game">Centipede game</a></li>

<li><a title="Volunteer's dilemma" href="https://en.wikipedia.org/wiki/Volunteer%27s_dilemma">Volunteer's dilemma</a></li>

<li><a title="Dollar auction" href="https://en.wikipedia.org/wiki/Dollar_auction">Dollar auction</a></li>

<li><a title="Battle of the sexes (game theory)" href="https://en.wikipedia.org/wiki/Battle_of_the_sexes_(game_theory)">Battle of the sexes</a></li>

<li><a title="Matching pennies" href="https://en.wikipedia.org/wiki/Matching_pennies">Matching pennies</a></li>

<li><a title="Ultimatum game" href="https://en.wikipedia.org/wiki/Ultimatum_game">Ultimatum game</a></li>

<li><a title="Rock–paper–scissors" href="https://en.wikipedia.org/wiki/Rock%E2%80%93paper%E2%80%93scissors">Rock–paper–scissors</a></li>

<li><a title="Pirate game" href="https://en.wikipedia.org/wiki/Pirate_game">Pirate game</a></li>

<li><a title="Dictator game" href="https://en.wikipedia.org/wiki/Dictator_game">Dictator game</a></li>

<li><a title="Public goods game" href="https://en.wikipedia.org/wiki/Public_goods_game">Public goods game</a></li>

<li><a title="Blotto game" href="https://en.wikipedia.org/wiki/Blotto_game">Blotto game</a></li>

<li><a title="War of attrition (game)" href="https://en.wikipedia.org/wiki/War_of_attrition_(game)">War of attrition</a></li>

<li><a title="El Farol Bar problem" href="https://en.wikipedia.org/wiki/El_Farol_Bar_problem">El Farol Bar problem</a></li>

<li><a title="Fair division" href="https://en.wikipedia.org/wiki/Fair_division">Fair division</a></li>

<li><a title="Fair cake-cutting" href="https://en.wikipedia.org/wiki/Fair_cake-cutting">Fair cake-cutting</a></li>

<li><a title="Cournot competition" href="https://en.wikipedia.org/wiki/Cournot_competition">Cournot game</a></li>

<li><a title="Deadlock (game theory)" href="https://en.wikipedia.org/wiki/Deadlock_(game_theory)">Deadlock</a></li>

<li><a title="Unscrupulous diner's dilemma" href="https://en.wikipedia.org/wiki/Unscrupulous_diner%27s_dilemma">Diner's dilemma</a></li>

<li><a title="Guess 2/3 of the average" href="https://en.wikipedia.org/wiki/Guess_2/3_of_the_average">Guess 2/3 of the average</a></li>

<li><a title="Kuhn poker" href="https://en.wikipedia.org/wiki/Kuhn_poker">Kuhn poker</a></li>

<li><a class="mw-redirect" title="Nash bargaining game" href="https://en.wikipedia.org/wiki/Nash_bargaining_game">Nash bargaining game</a></li>

<li><a class="mw-redirect" title="Prisoners and hats puzzle" href="https://en.wikipedia.org/wiki/Prisoners_and_hats_puzzle">Prisoners and hats puzzle</a></li>

<li><a title="Dictator game" href="https://en.wikipedia.org/wiki/Dictator_game#Trust_game">Trust game</a></li>

<li><a title="Princess and Monster game" href="https://en.wikipedia.org/wiki/Princess_and_Monster_game">Princess and Monster game</a></li>

<li><a title="Rendezvous problem" href="https://en.wikipedia.org/wiki/Rendezvous_problem">Rendezvous problem</a></li>

</ul>

</div>

</td>

</tr>

<tr>

<th class="navbox-group" scope="row">Theorems</th>

<div>

<ul>

<li><a title="Minimax" href="https://en.wikipedia.org/wiki/Minimax">Minimax theorem</a></li>

<li><a title="Nash equilibrium" href="https://en.wikipedia.org/wiki/Nash_equilibrium">Nash's theorem</a></li>

<li><a title="Purification theorem" href="https://en.wikipedia.org/wiki/Purification_theorem">Purification theorem</a></li>

<li><a title="Zermelo's theorem (game theory)" href="https://en.wikipedia.org/wiki/Zermelo%27s_theorem_(game_theory)">Zermelo's theorem</a></li>

<li><a title="Folk theorem (game theory)" href="https://en.wikipedia.org/wiki/Folk_theorem_(game_theory)">Folk theorem</a></li>

<li><a title="Revelation principle" href="https://en.wikipedia.org/wiki/Revelation_principle">Revelation principle</a></li>

<li><a title="Arrow's impossibility theorem" href="https://en.wikipedia.org/wiki/Arrow%27s_impossibility_theorem">Arrow's impossibility theorem</a></li>

</ul>

</div>

</td>

</tr>

<tr>

<th class="navbox-group" scope="row">Key
figures</th>

<div>

<ul>

<li><a title="Albert W. Tucker" href="https://en.wikipedia.org/wiki/Albert_W._Tucker">Albert W. Tucker</a></li>

<li><a title="Amos Tversky" href="https://en.wikipedia.org/wiki/Amos_Tversky">Amos Tversky</a></li>

<li><a title="Ariel Rubinstein" href="https://en.wikipedia.org/wiki/Ariel_Rubinstein">Ariel Rubinstein</a></li>

<li><a title="Claude Shannon" href="https://en.wikipedia.org/wiki/Claude_Shannon">Claude Shannon</a></li>

<li><a title="Daniel Kahneman" href="https://en.wikipedia.org/wiki/Daniel_Kahneman">Daniel Kahneman</a></li>

<li><a title="David K. Levine" href="https://en.wikipedia.org/wiki/David_K._Levine">David K. Levine</a></li>

<li><a title="David M. Kreps" href="https://en.wikipedia.org/wiki/David_M._Kreps">David M. Kreps</a></li>

<li><a title="Donald B. Gillies" href="https://en.wikipedia.org/wiki/Donald_B._Gillies">Donald B. Gillies</a></li>

<li><a title="Drew Fudenberg" href="https://en.wikipedia.org/wiki/Drew_Fudenberg">Drew Fudenberg</a></li>

<li><a title="Eric Maskin" href="https://en.wikipedia.org/wiki/Eric_Maskin">Eric Maskin</a></li>

<li><a title="Harold W. Kuhn" href="https://en.wikipedia.org/wiki/Harold_W._Kuhn">Harold W. Kuhn</a></li>

<li><a title="Herbert A. Simon" href="https://en.wikipedia.org/wiki/Herbert_A._Simon">Herbert Simon</a></li>

<li><a title="Hervé Moulin" href="https://en.wikipedia.org/wiki/Herv%C3%A9_Moulin">Hervé Moulin</a></li>

<li><a title="Jean Tirole" href="https://en.wikipedia.org/wiki/Jean_Tirole">Jean Tirole</a></li>

<li><a title="Jean-François Mertens" href="https://en.wikipedia.org/wiki/Jean-Fran%C3%A7ois_Mertens">Jean-François Mertens</a></li>

<li><a title="John Harsanyi" href="https://en.wikipedia.org/wiki/John_Harsanyi">John Harsanyi</a></li>

<li><a title="John Maynard Smith" href="https://en.wikipedia.org/wiki/John_Maynard_Smith">John Maynard Smith</a></li>

<li><a title="Antoine Augustin Cournot" href="https://en.wikipedia.org/wiki/Antoine_Augustin_Cournot">Antoine Augustin Cournot</a></li>

<li><a title="John von Neumann" href="https://en.wikipedia.org/wiki/John_von_Neumann">John von Neumann</a></li>

<li><a title="Kenneth Arrow" href="https://en.wikipedia.org/wiki/Kenneth_Arrow">Kenneth Arrow</a></li>

<li><a title="Kenneth Binmore" href="https://en.wikipedia.org/wiki/Kenneth_Binmore">Kenneth Binmore</a></li>

<li><a title="Leonid Hurwicz" href="https://en.wikipedia.org/wiki/Leonid_Hurwicz">Leonid Hurwicz</a></li>

<li><a title="Lloyd Shapley" href="https://en.wikipedia.org/wiki/Lloyd_Shapley">Lloyd Shapley</a></li>

<li><a title="Melvin Dresher" href="https://en.wikipedia.org/wiki/Melvin_Dresher">Melvin Dresher</a></li>

<li><a title="Merrill M. Flood" href="https://en.wikipedia.org/wiki/Merrill_M._Flood">Merrill M. Flood</a></li>

<li><a title="Oskar Morgenstern" href="https://en.wikipedia.org/wiki/Oskar_Morgenstern">Oskar Morgenstern</a></li>

<li><a title="Paul Milgrom" href="https://en.wikipedia.org/wiki/Paul_Milgrom">Paul Milgrom</a></li>

<li><a title="Peyton Young" href="https://en.wikipedia.org/wiki/Peyton_Young">Peyton Young</a></li>

<li><a title="Reinhard Selten" href="https://en.wikipedia.org/wiki/Reinhard_Selten">Reinhard Selten</a></li>

<li><a title="Robert Axelrod" href="https://en.wikipedia.org/wiki/Robert_Axelrod">Robert Axelrod</a></li>

<li><a title="Robert Aumann" href="https://en.wikipedia.org/wiki/Robert_Aumann">Robert Aumann</a></li>

<li><a title="Robert B. Wilson" href="https://en.wikipedia.org/wiki/Robert_B._Wilson">Robert B. Wilson</a></li>

<li><a title="Roger Myerson" href="https://en.wikipedia.org/wiki/Roger_Myerson">Roger Myerson</a></li>

<li><a title="Samuel Bowles (economist)" href="https://en.wikipedia.org/wiki/Samuel_Bowles_(economist)">Samuel Bowles</a></li>

<li><a title="Thomas Schelling" href="https://en.wikipedia.org/wiki/Thomas_Schelling">Thomas Schelling</a></li>

<li><a title="William Vickrey" href="https://en.wikipedia.org/wiki/William_Vickrey">William Vickrey</a></li>

</ul>

</div>

</td>

</tr>

<tr>

<div>

<ul>

<li><a title="All-pay auction" href="https://en.wikipedia.org/wiki/All-pay_auction">All-pay auction</a></li>

<li><a title="Alpha–beta pruning" href="https://en.wikipedia.org/wiki/Alpha%E2%80%93beta_pruning">Alpha–beta pruning</a></li>

<li><a title="Bertrand paradox (economics)" href="https://en.wikipedia.org/wiki/Bertrand_paradox_(economics)">Bertrand paradox</a></li>

<li><a title="Bounded rationality" href="https://en.wikipedia.org/wiki/Bounded_rationality">Bounded rationality</a></li>

<li><a title="Combinatorial game theory" href="https://en.wikipedia.org/wiki/Combinatorial_game_theory">Combinatorial game theory</a></li>

<li><a title="Confrontation analysis" href="https://en.wikipedia.org/wiki/Confrontation_analysis">Confrontation analysis</a></li>

<li><a title="Coopetition" href="https://en.wikipedia.org/wiki/Coopetition">Coopetition</a></li>

<li><a title="First-move advantage in chess" href="https://en.wikipedia.org/wiki/First-move_advantage_in_chess">First-move advantage in chess</a></li>

<li><a title="Game mechanics" href="https://en.wikipedia.org/wiki/Game_mechanics">Game mechanics</a></li>

<li><a title="Glossary of game theory" href="https://en.wikipedia.org/wiki/Glossary_of_game_theory">Glossary of game theory</a></li>

<li><a title="List of game theorists" href="https://en.wikipedia.org/wiki/List_of_game_theorists">List of game theorists</a></li>

<li><a class="mw-selflink selflink">List of games in game theory</a></li>

<li><a title="No-win situation" href="https://en.wikipedia.org/wiki/No-win_situation">No-win situation</a></li>

<li><a title="Solving chess" href="https://en.wikipedia.org/wiki/Solving_chess">Solving chess</a></li>

<li><a title="Topological game" href="https://en.wikipedia.org/wiki/Topological_game">Topological game</a></li>

<li><a title="Tragedy of the commons" href="https://en.wikipedia.org/wiki/Tragedy_of_the_commons">Tragedy of the commons</a></li>

<li><a title="Tyranny of small decisions" href="https://en.wikipedia.org/wiki/Tyranny_of_small_decisions">Tyranny of small decisions</a></li>

</ul>

</div>

</td>

</tr>

</tbody>

</table>

</div>

<div id="mw-normal-catlinks" class="mw-normal-catlinks"><a title="Help:Category" href="https://en.wikipedia.org/wiki/Help:Category">Categories</a>: 

<ul>

<li><a title="Category:Game theory" href="https://en.wikipedia.org/wiki/Category:Game_theory">Game theory</a></li>

</ul>

</div>

Game Theory

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