Nash Equilibrium and the Law of Large Numbers

Detalhes bibliográficos
Autor(a) principal: Páscoa, Mário Rui
Data de Publicação: 1995
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/87935
Resumo: Pascoa (1993a) showed that the failure of the law of large numbers for a continuum of independent realizations implies that Schmeidler's (1973) concept of a measure-valued profile function in equilibrium might not coincide with the true concept of mixed strategies equilibrium of a nonatomic game. The latter should be defined as a probability measure on pure strategies profiles which is induced by the product measure of players' mixed strategies. This paper addresses existence and approximate purification of the latter and presents an assumption on continuity of payoffs that guarantees the equivalence between the two equilibrium concepts.
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spelling Nash Equilibrium and the Law of Large NumbersPascoa (1993a) showed that the failure of the law of large numbers for a continuum of independent realizations implies that Schmeidler's (1973) concept of a measure-valued profile function in equilibrium might not coincide with the true concept of mixed strategies equilibrium of a nonatomic game. The latter should be defined as a probability measure on pure strategies profiles which is induced by the product measure of players' mixed strategies. This paper addresses existence and approximate purification of the latter and presents an assumption on continuity of payoffs that guarantees the equivalence between the two equilibrium concepts.Nova SBERUNPáscoa, Mário Rui2019-11-21T11:56:21Z19951995-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/87935engPáscoa, Mário Rui, Nash Equilibrium and the Law of Large Numbers (1995). FEUNL Working Paper Series No. 251info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T04:39:08Zoai:run.unl.pt:10362/87935Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:36:47.671239Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Nash Equilibrium and the Law of Large Numbers
title Nash Equilibrium and the Law of Large Numbers
spellingShingle Nash Equilibrium and the Law of Large Numbers
Páscoa, Mário Rui
title_short Nash Equilibrium and the Law of Large Numbers
title_full Nash Equilibrium and the Law of Large Numbers
title_fullStr Nash Equilibrium and the Law of Large Numbers
title_full_unstemmed Nash Equilibrium and the Law of Large Numbers
title_sort Nash Equilibrium and the Law of Large Numbers
author Páscoa, Mário Rui
author_facet Páscoa, Mário Rui
author_role author
dc.contributor.none.fl_str_mv RUN
dc.contributor.author.fl_str_mv Páscoa, Mário Rui
description Pascoa (1993a) showed that the failure of the law of large numbers for a continuum of independent realizations implies that Schmeidler's (1973) concept of a measure-valued profile function in equilibrium might not coincide with the true concept of mixed strategies equilibrium of a nonatomic game. The latter should be defined as a probability measure on pure strategies profiles which is induced by the product measure of players' mixed strategies. This paper addresses existence and approximate purification of the latter and presents an assumption on continuity of payoffs that guarantees the equivalence between the two equilibrium concepts.
publishDate 1995
dc.date.none.fl_str_mv 1995
1995-01-01T00:00:00Z
2019-11-21T11:56:21Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/87935
url http://hdl.handle.net/10362/87935
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Páscoa, Mário Rui, Nash Equilibrium and the Law of Large Numbers (1995). FEUNL Working Paper Series No. 251
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