Nash Equilibrium and the Law of Large Numbers
Autor(a) principal: | |
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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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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 |
format |
article |
status_str |
publishedVersion |
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 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
dc.publisher.none.fl_str_mv |
Nova SBE |
publisher.none.fl_str_mv |
Nova SBE |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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