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- Subgame_perfect_equilibrium abstract "In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games. A strategy profile is a subgame perfect equilibrium if it represents a Nash equilibrium of every subgame of the original game. Informally, this means that if (1) the players played any smaller game that consisted of only one part of the larger game and (2) their behavior represents a Nash equilibrium of that smaller game, then their behavior is a subgame perfect equilibrium of the larger game. Every finite extensive game has a subgame perfect equilibrium.A common method for determining subgame perfect equilibria in the case of a finite game is backward induction. Here one first considers the last actions of the game and determines which actions the final mover should take in each possible circumstance to maximize his/her utility. One then supposes that the last actor will do these actions, and considers the second to last actions, again choosing those that maximize that actor's utility. This process continues until one reaches the first move of the game. The strategies which remain are the set of all subgame perfect equilibria for finite-horizon extensive games of perfect information. However, backward induction cannot be applied to games of imperfect or incomplete information because this entails cutting through non-singleton information sets.A subgame perfect equilibria necessarily satisfies the One-Shot deviation principle.The set of subgame perfect equilibria for a given game is always a subset of the set of Nash equilibria for that game. In some cases the sets can be identical.The Ultimatum game provides an intuitive example of a game with fewer subgame perfect equilibria than Nash equilibria.".
- Subgame_perfect_equilibrium thumbnail Extended-form_game.svg?width=300.
- Subgame_perfect_equilibrium wikiPageExternalLink SubGame.htm.
- Subgame_perfect_equilibrium wikiPageExternalLink ExtensiveForm.
- Subgame_perfect_equilibrium wikiPageID "6954902".
- Subgame_perfect_equilibrium wikiPageLength "7229".
- Subgame_perfect_equilibrium wikiPageOutDegree "39".
- Subgame_perfect_equilibrium wikiPageRevisionID "672405885".
- Subgame_perfect_equilibrium wikiPageWikiLink Backward_induction.
- Subgame_perfect_equilibrium wikiPageWikiLink Category:Game_theory.
- Subgame_perfect_equilibrium wikiPageWikiLink Centipede_game.
- Subgame_perfect_equilibrium wikiPageWikiLink Chicken_(game).
- Subgame_perfect_equilibrium wikiPageWikiLink Complete_information.
- Subgame_perfect_equilibrium wikiPageWikiLink Dynamic_game.
- Subgame_perfect_equilibrium wikiPageWikiLink Dynamic_inconsistency.
- Subgame_perfect_equilibrium wikiPageWikiLink Evolutionarily_stable_strategy.
- Subgame_perfect_equilibrium wikiPageWikiLink Extensive-form_game.
- Subgame_perfect_equilibrium wikiPageWikiLink Extensive_form.
- Subgame_perfect_equilibrium wikiPageWikiLink Extensive_form_game.
- Subgame_perfect_equilibrium wikiPageWikiLink Game_theory.
- Subgame_perfect_equilibrium wikiPageWikiLink Glossary_of_game_theory.
- Subgame_perfect_equilibrium wikiPageWikiLink Go_(board_game).
- Subgame_perfect_equilibrium wikiPageWikiLink Go_(game).
- Subgame_perfect_equilibrium wikiPageWikiLink Imperfect_information.
- Subgame_perfect_equilibrium wikiPageWikiLink Incomplete_information.
- Subgame_perfect_equilibrium wikiPageWikiLink Information_set_(game_theory).
- Subgame_perfect_equilibrium wikiPageWikiLink Minimax.
- Subgame_perfect_equilibrium wikiPageWikiLink Minimax_theorem.
- Subgame_perfect_equilibrium wikiPageWikiLink Mixed_strategy.
- Subgame_perfect_equilibrium wikiPageWikiLink Nash_equilibrium.
- Subgame_perfect_equilibrium wikiPageWikiLink Non-credible_threat.
- Subgame_perfect_equilibrium wikiPageWikiLink One-Shot_deviation_principle.
- Subgame_perfect_equilibrium wikiPageWikiLink One-shot_deviation_principle.
- Subgame_perfect_equilibrium wikiPageWikiLink Perfect_information.
- Subgame_perfect_equilibrium wikiPageWikiLink Reinhard_Selten.
- Subgame_perfect_equilibrium wikiPageWikiLink Retrograde_analysis.
- Subgame_perfect_equilibrium wikiPageWikiLink Sequential_game.
- Subgame_perfect_equilibrium wikiPageWikiLink Solution_concept.
- Subgame_perfect_equilibrium wikiPageWikiLink Strategy_(game_theory).
- Subgame_perfect_equilibrium wikiPageWikiLink Subgame.
- Subgame_perfect_equilibrium wikiPageWikiLink Tic-tac-toe.
- Subgame_perfect_equilibrium wikiPageWikiLink Ultimatum_game.
- Subgame_perfect_equilibrium wikiPageWikiLink Utility.
- Subgame_perfect_equilibrium wikiPageWikiLink Vertex_(graph_theory).
- Subgame_perfect_equilibrium wikiPageWikiLink File:Tic_tac_toe.svg.
- Subgame_perfect_equilibrium wikiPageWikiLinkText "Subgame perfect equilibrium".
- Subgame_perfect_equilibrium wikiPageWikiLinkText "subgame imperfect equilibria".
- Subgame_perfect_equilibrium wikiPageWikiLinkText "subgame imperfect".
- Subgame_perfect_equilibrium wikiPageWikiLinkText "subgame perfect Nash equilibrium".
- Subgame_perfect_equilibrium wikiPageWikiLinkText "subgame perfect equilibria".
- Subgame_perfect_equilibrium wikiPageWikiLinkText "subgame perfect equilibrium".
- Subgame_perfect_equilibrium wikiPageWikiLinkText "subgame perfect".
- Subgame_perfect_equilibrium wikiPageWikiLinkText "subgame perfection".
- Subgame_perfect_equilibrium align "center".
- Subgame_perfect_equilibrium caption "A Nash equilibrium which is not subgame perfect".
- Subgame_perfect_equilibrium caption "A subgame perfect equilibrium".
- Subgame_perfect_equilibrium caption "An extensive-form game".
- Subgame_perfect_equilibrium direction "horizontal".
- Subgame_perfect_equilibrium discoverer Reinhard_Selten.
- Subgame_perfect_equilibrium example Ultimatum_game.
- Subgame_perfect_equilibrium hasPhotoCollection Subgame_perfect_equilibrium.
- Subgame_perfect_equilibrium header "Figure 1: An extensive-form game together with two different equilibria".
- Subgame_perfect_equilibrium image "Extended-form game with PNE.svg".
- Subgame_perfect_equilibrium image "Extended-form game.svg".
- Subgame_perfect_equilibrium image "Subgame perfect PNE.svg".
- Subgame_perfect_equilibrium intersectwith Evolutionarily_stable_strategy.
- Subgame_perfect_equilibrium name "Subgame Perfect Equilibrium".
- Subgame_perfect_equilibrium subsetof Nash_equilibrium.
- Subgame_perfect_equilibrium usedfor "Extensive form games".
- Subgame_perfect_equilibrium width "(150 * 190 / 149) round 0".
- Subgame_perfect_equilibrium width "(150 * 320 / 160) round 0".
- Subgame_perfect_equilibrium wikiPageUsesTemplate Template:Game_theory.
- Subgame_perfect_equilibrium wikiPageUsesTemplate Template:Infobox_equilibrium.
- Subgame_perfect_equilibrium wikiPageUsesTemplate Template:Multiple_image.
- Subgame_perfect_equilibrium wikiPageUsesTemplate Template:Reflist.
- Subgame_perfect_equilibrium subject Category:Game_theory.
- Subgame_perfect_equilibrium hypernym Refinement.
- Subgame_perfect_equilibrium comment "In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games. A strategy profile is a subgame perfect equilibrium if it represents a Nash equilibrium of every subgame of the original game.".
- Subgame_perfect_equilibrium label "Subgame perfect equilibrium".
- Subgame_perfect_equilibrium sameAs Teilspielperfektes_Gleichgewicht.
- Subgame_perfect_equilibrium sameAs Equilibrio_perfecto_en_subjuegos.
- Subgame_perfect_equilibrium sameAs تعادل_نش_زیربازی_کامل.
- Subgame_perfect_equilibrium sameAs Équilibre_parfait_en_sous-jeux.
- Subgame_perfect_equilibrium sameAs שיווי_משקל_תת-משחקי_משוכלל.
- Subgame_perfect_equilibrium sameAs Részjáték-tökéletes_egyensúly.
- Subgame_perfect_equilibrium sameAs 部分ゲーム完全均衡.
- Subgame_perfect_equilibrium sameAs Doskonała_równowaga_Nasha_w_podgrach.
- Subgame_perfect_equilibrium sameAs m.0gyp1y.
- Subgame_perfect_equilibrium sameAs Равновесие,_совершенное_по_под-играм.
- Subgame_perfect_equilibrium sameAs Q1615834.
- Subgame_perfect_equilibrium sameAs Q1615834.
- Subgame_perfect_equilibrium wasDerivedFrom Subgame_perfect_equilibrium?oldid=672405885.
- Subgame_perfect_equilibrium depiction Extended-form_game.svg.
- Subgame_perfect_equilibrium isPrimaryTopicOf Subgame_perfect_equilibrium.