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Refinements of Equilibria for Population Games Based on Bounded Rationality of Agents

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  • Chongyi Zhong
  • Hui Yang
  • Chun Wang

Abstract

We consider stability of equilibria for population games against slight perturbation on the social state space. We provide a necessary and sufficient condition for the existence of Nash equilibria for perturbed population games, which is very important and interesting. Then, refinements of equilibria for population games are introduced. Equivalent characterizations of perfect equilibrium are given. At last, it is shown that each population game admits at least one perfect (proper, weakly proper, and robust) equilibrium.

Suggested Citation

  • Chongyi Zhong & Hui Yang & Chun Wang, 2020. "Refinements of Equilibria for Population Games Based on Bounded Rationality of Agents," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-8, April.
    • Handle: RePEc:hin:jnlmpe:1636294
    DOI: 10.1155/2020/1636294
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    Cited by:

    1. Simo Sun & Hui Yang & Guanghui Yang & Jinxiu Pi, 2021. "Evolutionary Games and Dynamics in Public Goods Supply with Repetitive Actions," Mathematics, MDPI, vol. 9(15), pages 1-16, July.

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