On the existence of pure-strategy equilibria in large games

Detalhes bibliográficos
Autor(a) principal: Carmona, Guilherme
Data de Publicação: 2008
Outros Autores: Podczeck, Konrad
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/11577
Resumo: Over the years, several formalizations and existence results for games with a continuum of players have been given. These include those of Schmeidler (1973), Rashid (1983), Mas-Colell (1984), Khan and Sun (1999) and Podczeck (2007a). The level of generality of each of these existence results is typically regarded as a criterion to evaluate how appropriate is the corresponding formalization of large games. In contrast, we argue that such evaluation is pointless. In fact, we show that, in a precise sense, all the above existence results are equivalent. Thus, all of them are equally strong and therefore cannot rank the different formalizations of large games.
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spelling On the existence of pure-strategy equilibria in large gamesNash equilibriumPure strategiesApproximationEquilibrium distributionsOver the years, several formalizations and existence results for games with a continuum of players have been given. These include those of Schmeidler (1973), Rashid (1983), Mas-Colell (1984), Khan and Sun (1999) and Podczeck (2007a). The level of generality of each of these existence results is typically regarded as a criterion to evaluate how appropriate is the corresponding formalization of large games. In contrast, we argue that such evaluation is pointless. In fact, we show that, in a precise sense, all the above existence results are equivalent. Thus, all of them are equally strong and therefore cannot rank the different formalizations of large games.Nova SBERUNCarmona, GuilhermePodczeck, Konrad2014-03-13T11:35:36Z2008-032008-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/11577enginfo: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:RCAAP2024-03-11T03:46:07Zoai:run.unl.pt:10362/11577Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:20:23.862425Repositório 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 On the existence of pure-strategy equilibria in large games
title On the existence of pure-strategy equilibria in large games
spellingShingle On the existence of pure-strategy equilibria in large games
Carmona, Guilherme
Nash equilibrium
Pure strategies
Approximation
Equilibrium distributions
title_short On the existence of pure-strategy equilibria in large games
title_full On the existence of pure-strategy equilibria in large games
title_fullStr On the existence of pure-strategy equilibria in large games
title_full_unstemmed On the existence of pure-strategy equilibria in large games
title_sort On the existence of pure-strategy equilibria in large games
author Carmona, Guilherme
author_facet Carmona, Guilherme
Podczeck, Konrad
author_role author
author2 Podczeck, Konrad
author2_role author
dc.contributor.none.fl_str_mv RUN
dc.contributor.author.fl_str_mv Carmona, Guilherme
Podczeck, Konrad
dc.subject.por.fl_str_mv Nash equilibrium
Pure strategies
Approximation
Equilibrium distributions
topic Nash equilibrium
Pure strategies
Approximation
Equilibrium distributions
description Over the years, several formalizations and existence results for games with a continuum of players have been given. These include those of Schmeidler (1973), Rashid (1983), Mas-Colell (1984), Khan and Sun (1999) and Podczeck (2007a). The level of generality of each of these existence results is typically regarded as a criterion to evaluate how appropriate is the corresponding formalization of large games. In contrast, we argue that such evaluation is pointless. In fact, we show that, in a precise sense, all the above existence results are equivalent. Thus, all of them are equally strong and therefore cannot rank the different formalizations of large games.
publishDate 2008
dc.date.none.fl_str_mv 2008-03
2008-03-01T00:00:00Z
2014-03-13T11:35:36Z
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url http://hdl.handle.net/10362/11577
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publisher.none.fl_str_mv Nova SBE
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