Uniform payoff security and Nash equilibrium in compact games
Monteiro, P. K.; Page Junior, Frank H.
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Resumo
We introduce a condition, uniform payoff security, for games with compact Hausdorff strategy spaces and payoffs bounded and measurable in players' strategies. We show that if any such compact game G is uniformly payoff secure, then its mixed extension over(G, -) is payoff secure. We also establish that if a uniformly payoff secure compact game G has a mixed extension over(G, -) with reciprocally upper semicontinuous payoffs, then G has a Nash equilibrium in mixed strategies. We provide several economic examples of compact games satisfying uniform payoff security. © 2006 Elsevier Inc. All rights reserved.
Ficha do documento
- Tipo
- Artigo científico
- Ano
- 2007
- Instituição
- Fundação Getulio Vargas
- Fonte
- Repositório da FGV
- Idioma
- Inglês
- Acesso
- Acesso restrito
- Identificador
- oai:repositorio.fgv.br:10438/25324
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