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On games without approximate equilibria

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  • Yehuda John Levy

    (University of Glasgow)

Abstract

This note shows that the work by Simon and Tomkowicz (Israel J Math 227(1):215–231, 2018) answers another outstanding open question in game theory in addition to the non-existence of approximate Harsányi equilibrium in Bayesian games: it shows that strategic form games with bounded and separately continuous payoffs need not possess approximate equilibria.

Suggested Citation

  • Yehuda John Levy, 2020. "On games without approximate equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1125-1128, December.
    • Handle: RePEc:spr:jogath:v:49:y:2020:i:4:d:10.1007_s00182-020-00734-0
    DOI: 10.1007/s00182-020-00734-0
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    References listed on IDEAS

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    1. Ziv Hellman & Yehuda John Levy, 2020. "Equilibria Existence in Bayesian Games: Climbing the Countable Borel Equivalence Relation Hierarchy," Working Papers 2020_15, Business School - Economics, University of Glasgow.
    2. Vieille, Nicolas, 1996. "On Equilibrium on the Square," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(2), pages 199-205.
    3. Ziv Hellman, 2012. "A Game with No Bayesian Approximate Equilibria," Discussion Paper Series dp615, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    4. Stinchcombe, Maxwell B., 2011. "Balance and discontinuities in infinite games with type-dependent strategies," Journal of Economic Theory, Elsevier, vol. 146(2), pages 656-671, March.
    5. Hellman, Ziv, 2014. "A game with no Bayesian approximate equilibria," Journal of Economic Theory, Elsevier, vol. 153(C), pages 138-151.
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