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Rationalizable self-confirming equilibrium in static games with unawareness

Author

Listed:
  • Norimasa Kobayashi

    (Tokyo Institute of Technology)

  • Yasuo Sasaki

    (Gakushuin University)

Abstract

This paper discusses rationalizable self-confirming equilibrium (RSCE) in static games with unawareness that captures steady states of such games. We begin by defining the equilibrium concept in terms of its epistemic conditions. k-RSCE is a situation in which agents make rational choices and have correct beliefs about one another’s choices, and moreover these can be mutual belief to the k-th order. We then present an alternative definition that dispenses with these epistemic conditions and allows us to obtain equilibria through iterative eliminations of certain action profiles. In standard static games, k-RSCE reduces to Nash equilibrium, but not under unawareness. We examine the equilibrium concept’s properties and clarify its relationships with other equilibrium concepts for games with unawareness.

Suggested Citation

  • Norimasa Kobayashi & Yasuo Sasaki, 2024. "Rationalizable self-confirming equilibrium in static games with unawareness," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(3), pages 765-790, September.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:3:d:10.1007_s00182-024-00907-1
    DOI: 10.1007/s00182-024-00907-1
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    References listed on IDEAS

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