Non-cooperative Games

E630

academic paper game theory paper scientific article

Non-cooperative Games is John Nash’s seminal 1950 paper that founded modern non-cooperative game theory and introduced the concept now known as Nash equilibrium.

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All labels observed (3)

Label	Occurrences
Nash equilibrium	5
Non-cooperative Games canonical	2
Non-Cooperative Games	1

How this entity was disambiguated

This entity first appeared as the object of triple T16318 — 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: Non-cooperative Games
Context triple: [John Nash, notableWork, Non-cooperative Games]

A. Blitz
The Blitz was the sustained German bombing campaign against the United Kingdom, particularly London, during 1940–1941 in World War II.
B. Man-Computer Symbiosis
Man-Computer Symbiosis is a seminal 1960 essay by J. C. R. Licklider that envisioned interactive, cooperative partnerships between humans and computers, laying conceptual foundations for modern interactive computing and the internet.
C. N8 Research Partnership
N8 Research Partnership is a collaboration of eight research-intensive universities in Northern England focused on advancing world-class research, innovation, and economic growth.
D. Wholly New Forms of Encyclopedias
"Wholly New Forms of Encyclopedias" is a section of Vannevar Bush’s essay "As We May Think" that envisions future, highly interconnected and dynamically organized knowledge systems beyond traditional printed encyclopedias.
E. IRE Transactions on Circuit Theory
IRE Transactions on Circuit Theory was a peer-reviewed scientific journal published by the Institute of Radio Engineers that focused on theoretical and analytical aspects of electrical and electronic circuits.
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: Non-cooperative Games
Target entity description: Non-cooperative Games is John Nash’s seminal 1950 paper that founded modern non-cooperative game theory and introduced the concept now known as Nash equilibrium.

A. Blitz
The Blitz was the sustained German bombing campaign against the United Kingdom, particularly London, during 1940–1941 in World War II.
B. Man-Computer Symbiosis
Man-Computer Symbiosis is a seminal 1960 essay by J. C. R. Licklider that envisioned interactive, cooperative partnerships between humans and computers, laying conceptual foundations for modern interactive computing and the internet.
C. N8 Research Partnership
N8 Research Partnership is a collaboration of eight research-intensive universities in Northern England focused on advancing world-class research, innovation, and economic growth.
D. Wholly New Forms of Encyclopedias
"Wholly New Forms of Encyclopedias" is a section of Vannevar Bush’s essay "As We May Think" that envisions future, highly interconnected and dynamically organized knowledge systems beyond traditional printed encyclopedias.
E. IRE Transactions on Circuit Theory
IRE Transactions on Circuit Theory was a peer-reviewed scientific journal published by the Institute of Radio Engineers that focused on theoretical and analytical aspects of electrical and electronic circuits.
F. None of above. chosen

Statements (48)

Predicate	Object
instanceOf	academic paper ⓘ game theory paper ⓘ scientific article ⓘ
author	John F. Nash ⓘ linked to: John Nash John Forbes Nash Jr. ⓘ linked to: John Nash
citationStyleTitle	Non-Cooperative Games ⓘ
contribution	formulated equilibrium as a fixed point of best-response mappings ⓘ founded modern non-cooperative game theory ⓘ proved existence of equilibrium for finite non-cooperative games ⓘ
countryOfOrigin	United States ⓘ linked to: United States of America
defines	equilibrium point of a game ⓘ mixed strategy ⓘ non-cooperative game in normal form ⓘ
field	economics ⓘ game theory ⓘ mathematics ⓘ
focusesOn	finite games ⓘ games with a finite number of pure strategies ⓘ non-cooperative games with a finite number of players ⓘ strategic-form games ⓘ
hasAuthorAffiliation	Princeton University ⓘ
historicalSignificance	one of the foundational papers of modern game theory ⓘ seminal work in non-cooperative game theory ⓘ
influencedField	evolutionary game theory ⓘ industrial organization ⓘ microeconomics ⓘ political science ⓘ theory of bargaining ⓘ
introducedConcept	Nash equilibrium ⓘ linked to: Non-cooperative Games non-cooperative game ⓘ strategic-form game equilibrium ⓘ
language	English ⓘ
mainResult	every finite non-cooperative game has at least one equilibrium point in mixed strategies ⓘ existence theorem for equilibrium points in n-person games ⓘ
originalSubmissionYear	1950 ⓘ
publicationYear	1951 ⓘ
publishedIn	Annals of Mathematics ⓘ
publisher	Annals of Mathematics ⓘ
recognition	associated with John Nash’s Nobel Prize in Economic Sciences in 1994 ⓘ
relatedConcept	best response ⓘ mixed-strategy equilibrium ⓘ normal-form representation of games ⓘ
relatedTo	Equilibrium points in n-person games ⓘ The Bargaining Problem ⓘ linked to: Nash bargaining solution
topic	equilibrium analysis in games without binding agreements ⓘ strategic interaction among rational players ⓘ
usesTool	Kakutani fixed-point theorem ⓘ fixed-point theorem ⓘ