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Tenacious Selection of Nash Equilibrium

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  • Alioğulları Zeynel Harun
  • Barlo Mehmet

    (FASS, Sabancı University, Orhanlı, Tuzla, 34956, Istanbul, Turkey)

Abstract

We propose a complexity measure and an associated refinement based on the observation that best responses with more variations call for more precise anticipation. The variations around strategy profiles are measured by considering the cardinalities of players’ pure strategy best responses when others’ behavior is perturbed. After showing that the resulting selection method displays desirable properties, it is employed to deliver a refinement: the tenacious selection of Nash equilibrium. We prove that it exists; does not have containment relations with perfection, properness, persistence and other refinements; and possesses some desirable features.

Suggested Citation

  • Alioğulları Zeynel Harun & Barlo Mehmet, 2016. "Tenacious Selection of Nash Equilibrium," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(2), pages 633-647, June.
    • Handle: RePEc:bpj:bejtec:v:16:y:2016:i:2:p:633-647:n:10
    DOI: 10.1515/bejte-2015-0055
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    References listed on IDEAS

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    1. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
    2. Kreps, David M., 1990. "Game Theory and Economic Modelling," OUP Catalogue, Oxford University Press, number 9780198283812.
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