Nash Equilibrium

GPTKB entity

Statements (39)
Predicate Object
gptkbp:instanceOf Game theory concept
gptkbp:appliesTo gptkb:Non-cooperative_games
Repeated games
Simultaneous games
Strategic games
gptkbp:category gptkb:Game_theory
gptkb:Mathematical_economics
Mathematical concepts
Equilibrium concepts
gptkbp:defines A solution concept in which no player can benefit by changing strategies while the other players keep theirs unchanged
gptkbp:example gptkb:Cournot_competition
gptkb:Prisoner's_dilemma
gptkb:Battle_of_the_sexes
gptkb:Matching_pennies
gptkbp:field gptkb:Mathematics
gptkb:Game_theory
Economics
gptkbp:form Set of strategy profiles where each player's strategy is a best response to the others'
https://www.w3.org/2000/01/rdf-schema#label Nash Equilibrium
gptkbp:introduced gptkb:John_Nash
gptkbp:introducedIn 1950
gptkbp:namedAfter gptkb:John_Nash
gptkbp:property May be pure or mixed
May not be Pareto optimal
Every finite game has at least one Nash equilibrium (possibly in mixed strategies)
gptkbp:relatedConcept gptkb:Pareto_efficiency
gptkb:Correlated_equilibrium
gptkb:Dominant_strategy_equilibrium
gptkb:Evolutionarily_stable_strategy
Subgame perfect equilibrium
gptkbp:usedIn gptkb:Sociology
gptkb:philosophy
gptkb:Political_science
Economics
Biology
Computer science
gptkbp:bfsParent gptkb:Stochastic_Games
gptkb:Non-Cooperative_Games
gptkbp:bfsLayer 6