Remarks on the existence and stability of some relaxed Nash equilibrium in strategic form games

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• 作者：Vincenzo Scalzo
• 关键词：Discontinuous games ; Relaxed Nash equilibria ; Stability of equilibria ; Ky Fan minimax inequality
• 刊名：Economic Theory
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：61
• 期：3
• 页码：571-586
• 全文大小：500 KB
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• 作者单位：Vincenzo Scalzo (1)
  
  1. Department of Economics and Statistics (DISES), University of Napoli Federico II, via Cinthia (Monte S. Angelo), 80126, Naples, Italy
  
• 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 introduce a relaxed Nash equilibrium concept for strategic form games, called quasi-Nash equilibrium, which exists in every diagonally transfer quasi-concave games. The quasi-Nash equilibrium has the property to be stable with respect to perturbations on both payoff functions and mistakes in playing pure strategy profiles. We compare our relaxed equilibrium with the Reny equilibrium (introduced in a recent paper) and give stability properties for the Reny equilibrium.