Nash equilibrium in discontinuous games

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• 作者：Philip J. Reny
• 关键词：Discontinuous games ; Point security ; Nash equilibrium
• 刊名：Economic Theory
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：61
• 期：3
• 页码：553-569
• 全文大小：536 KB
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• 作者单位：Philip J. Reny (1)
  
  1. Department of Economics, University of Chicago, 1126 East 59th Street, Chicago, IL, 60637, USA
  
• 刊物类别：Business and Economics
• 刊物主题：Economics
  Economic Theory
  Economics
  Analysis
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0479

文摘

We provide several generalizations of the various equilibrium existence results in Reny (Econometrica 67:1029–1056, 1999), Barelli and Meneghel (Econometrica 81:813–824, 2013), and McLennan et al. (Econometrica 79:1643–1664, 2011). We also provide an example demonstrating that a natural additional generalization is not possible. All of the theorems yielding existence of pure-strategy Nash equilibria here are stated in terms of the players’ preference relations over joint strategies. Hence, in contrast to much of the previous work in the area, the present results for pure-strategy equilibria are entirely ordinal.