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- Potential_game abstract "In game theory, a game is said to be a potential game if the incentive of all players to change their strategy can be expressed using a single global function called the potential function. Robert W. Rosenthal created the concept of a congestion game in 1973. Dov Monderer and Lloyd Shapley created the concept of a potential game and proved that every congestion game is a potential game.The properties of several types of potential games have since been studied. Games can be either ordinal or cardinal potential games. In cardinal games, the difference in individual payoffs for each player from individually changing one's strategy ceteris paribus has to have the same value as the difference in values for the potential function. In ordinal games, only the signs of the differences have to be the same.The potential function is a useful tool to analyze equilibrium properties of games, since the incentives of all players are mapped into one function, and the set of pure Nash equilibria can be found by locating the local optima of the potential function. Convergence and finite-time convergence of an iterated game towards a Nash equilibrium can also be understood by studying the potential function.".
- Potential_game wikiPageExternalLink Nisan_Non-printable.pdf.
- Potential_game wikiPageExternalLink lecture6.pdf.
- Potential_game wikiPageID "9394324".
- Potential_game wikiPageLength "12624".
- Potential_game wikiPageOutDegree "34".
- Potential_game wikiPageRevisionID "683421934".
- Potential_game wikiPageWikiLink Battle_of_the_sexes_(game_theory).
- Potential_game wikiPageWikiLink Cambridge_University_Press.
- Potential_game wikiPageWikiLink Category:Game_theory.
- Potential_game wikiPageWikiLink Ceteris_paribus.
- Potential_game wikiPageWikiLink Combinatorial_optimization.
- Potential_game wikiPageWikiLink Complex_system.
- Potential_game wikiPageWikiLink Congestion_game.
- Potential_game wikiPageWikiLink Convection.
- Potential_game wikiPageWikiLink Correspondence_principle.
- Potential_game wikiPageWikiLink Cournot_competition.
- Potential_game wikiPageWikiLink Dissipative_system.
- Potential_game wikiPageWikiLink Entropy.
- Potential_game wikiPageWikiLink Entropy_(information_theory).
- Potential_game wikiPageWikiLink Externality.
- Potential_game wikiPageWikiLink First_law_of_thermodynamics.
- Potential_game wikiPageWikiLink Game_theory.
- Potential_game wikiPageWikiLink Gibbs_measure.
- Potential_game wikiPageWikiLink Lloyd_Shapley.
- Potential_game wikiPageWikiLink Magnetic_susceptibility.
- Potential_game wikiPageWikiLink Magnetization.
- Potential_game wikiPageWikiLink Markov_chain_mixing_time.
- Potential_game wikiPageWikiLink Nash_equilibrium.
- Potential_game wikiPageWikiLink Normal-form_game.
- Potential_game wikiPageWikiLink Payoff_matrix.
- Potential_game wikiPageWikiLink Phase_(matter).
- Potential_game wikiPageWikiLink Phase_transition.
- Potential_game wikiPageWikiLink Robert_W._Rosenthal.
- Potential_game wikiPageWikiLink Statistical_mechanics.
- Potential_game wikiPageWikiLink Stochastically_stable_equilibrium.
- Potential_game wikiPageWikiLink Strategy_(game_theory).
- Potential_game wikiPageWikiLink Symmetry_breaking.
- Potential_game wikiPageWikiLink Temperature.
- Potential_game wikiPageWikiLinkText "Potential games".
- Potential_game wikiPageWikiLinkText "potential game".
- Potential_game wikiPageWikiLinkText "potential games".
- Potential_game 1d "–1".
- Potential_game 1u "+1".
- Potential_game 2l "+1".
- Potential_game 2r "–1".
- Potential_game dl "–5, –4".
- Potential_game dl "–6".
- Potential_game dl "–b1–w, +b2–w".
- Potential_game dr "14".
- Potential_game dr "2".
- Potential_game dr "–b1+w, –b2+w".
- Potential_game hasPhotoCollection Potential_game.
- Potential_game name "Fig. 1: Potential game example".
- Potential_game name "Fig. 2: Battle of the sexes".
- Potential_game name "Fig. 3: Battle of the sexes".
- Potential_game ul "+b1+w, +b2+w".
- Potential_game ul "4".
- Potential_game ul "52".
- Potential_game ur "+b1–w, –b2–w".
- Potential_game ur "0".
- Potential_game ur "–1, –2".
- Potential_game wikiPageUsesTemplate Template:Citation.
- Potential_game wikiPageUsesTemplate Template:Payoff_matrix.
- Potential_game wikiPageUsesTemplate Template:Reflist.
- Potential_game subject Category:Game_theory.
- Potential_game comment "In game theory, a game is said to be a potential game if the incentive of all players to change their strategy can be expressed using a single global function called the potential function. Robert W. Rosenthal created the concept of a congestion game in 1973. Dov Monderer and Lloyd Shapley created the concept of a potential game and proved that every congestion game is a potential game.The properties of several types of potential games have since been studied.".
- Potential_game label "Potential game".
- Potential_game sameAs Potenzial_(Spieltheorie).
- Potential_game sameAs Jeu_de_potentiel.
- Potential_game sameAs משחק_פוטנציאל.
- Potential_game sameAs Gioco_a_potenziale.
- Potential_game sameAs m.02873k6.
- Potential_game sameAs Q288500.
- Potential_game sameAs Q288500.
- Potential_game wasDerivedFrom Potential_game?oldid=683421934.
- Potential_game isPrimaryTopicOf Potential_game.