Nash equilibrium
E833553
A Nash equilibrium is a game-theoretic solution concept where no player can improve their payoff by unilaterally changing their strategy, given the strategies of all other players.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Nash equilibrium canonical | 4 |
| trembling hand perfect equilibrium | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T9986256 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Nash equilibrium Context triple: [Hotelling’s law, relatedTo, Nash equilibrium]
-
A.
On Equilibrium
On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
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B.
Nash bargaining solution
The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
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C.
Nash
Nash is a key protagonist and magician in the role-playing game "Lunar: The Silver Star," known for his arrogant demeanor and loyalty to his friends.
-
D.
Nash
Nash is a surname of English origin borne by numerous notable individuals across fields such as civil rights activism, mathematics, and the arts.
-
E.
Game Theory (with Drew Fudenberg)
"Game Theory (with Drew Fudenberg)" is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to modern game theory and its applications in economics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Nash equilibrium Target entity description: A Nash equilibrium is a game-theoretic solution concept where no player can improve their payoff by unilaterally changing their strategy, given the strategies of all other players.
-
A.
On Equilibrium
On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
-
B.
Nash bargaining solution
The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
-
C.
Nash
Nash is a key protagonist and magician in the role-playing game "Lunar: The Silver Star," known for his arrogant demeanor and loyalty to his friends.
-
D.
Nash
Nash is a surname of English origin borne by numerous notable individuals across fields such as civil rights activism, mathematics, and the arts.
-
E.
Game Theory (with Drew Fudenberg)
"Game Theory (with Drew Fudenberg)" is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to modern game theory and its applications in economics.
- F. None of above. chosen
Statements (66)
| Predicate | Object |
|---|---|
| instanceOf |
equilibrium concept in game theory
ⓘ
game-theoretic solution concept ⓘ |
| appliedExample |
Battle of the Sexes
NERFINISHED
ⓘ
Bertrand competition NERFINISHED ⓘ Cournot duopoly NERFINISHED ⓘ Matching Pennies ⓘ Prisoner’s Dilemma NERFINISHED ⓘ |
| appliesTo |
extensive-form games
ⓘ
finite games ⓘ infinite games ⓘ normal-form games ⓘ strategic-form games ⓘ |
| assumes |
players are rational
ⓘ
players correctly anticipate others’ strategies ⓘ players know the game structure ⓘ |
| centralTo | non-cooperative game theory ⓘ |
| characterizedBy |
mutual best responses
ⓘ
strategic stability against unilateral deviations ⓘ |
| criticizedFor |
lack of predictive power in some games
ⓘ
multiple equilibria ⓘ reliance on strong rationality assumptions ⓘ |
| definedAs | strategy profile where no player can gain by unilaterally deviating ⓘ |
| definedBy | best responses of all players to each other ⓘ |
| doesNotNecessarilyImply | Pareto efficiency ⓘ |
| existenceProvedBy | John Forbes Nash Jr. NERFINISHED ⓘ |
| field |
economics
ⓘ
evolutionary biology ⓘ game theory ⓘ mathematics ⓘ |
| guaranteedExistenceIn | finite games with mixed strategies ⓘ |
| hasRefinement |
proper equilibrium
ⓘ
sequential equilibrium ⓘ subgame perfect Nash equilibrium ⓘ trembling-hand perfect equilibrium NERFINISHED ⓘ |
| hasVariant |
correlated equilibrium
ⓘ
evolutionarily stable strategy ⓘ mixed-strategy Nash equilibrium ⓘ pure-strategy Nash equilibrium ⓘ subgame perfect Nash equilibrium ⓘ trembling-hand perfect equilibrium NERFINISHED ⓘ |
| introducedBy | John Forbes Nash Jr. NERFINISHED ⓘ |
| introducedIn |
1950
ⓘ
1951 ⓘ |
| mathematicallyBasedOn |
Brouwer fixed-point theorem
NERFINISHED
ⓘ
Kakutani fixed-point theorem NERFINISHED ⓘ fixed-point theorems ⓘ |
| mayBe |
multiple
ⓘ
nonexistent in pure strategies ⓘ unique ⓘ |
| namedAfter | John Forbes Nash Jr. NERFINISHED ⓘ |
| publication | Non-Cooperative Games NERFINISHED ⓘ |
| publicationYear | 1951 ⓘ |
| relatedConcept |
Bayesian Nash equilibrium
NERFINISHED
ⓘ
correlated equilibrium NERFINISHED ⓘ dominant strategy equilibrium ⓘ perfect Bayesian equilibrium ⓘ subgame perfect equilibrium NERFINISHED ⓘ |
| usedIn |
algorithmic game theory
ⓘ
auction theory ⓘ bargaining theory ⓘ evolutionary game theory ⓘ industrial organization ⓘ mechanism design ⓘ oligopoly theory ⓘ political science ⓘ |
| usedToModel | strategic interaction among rational agents ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Nash equilibrium Description of subject: A Nash equilibrium is a game-theoretic solution concept where no player can improve their payoff by unilaterally changing their strategy, given the strategies of all other players.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
trembling hand perfect equilibrium
this entity surface form:
trembling hand perfect equilibrium
subject surface form:
Extensive Games and the Problem of Information
subject surface form:
Classics in Game Theory