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Correlated equilibrium existence for infinite games with type-dependent strategies

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  • Stinchcombe, Maxwell B.

Abstract

Under study are games in which players receive private signals and then simultaneously choose actions from compact sets. Payoffs are measurable in signals and jointly continuous in actions. This paper gives a counter-example to the main step in Cotter[modifier letter apostrophe]s [K. Cotter, Correlated equilibrium in games with type-dependent strategies, J. Econ. Theory 54 (1991) 48-69] argument for correlated equilibrium existence for this class of games, and supplies an alternative proof.

Suggested Citation

  • Stinchcombe, Maxwell B., 2011. "Correlated equilibrium existence for infinite games with type-dependent strategies," Journal of Economic Theory, Elsevier, vol. 146(2), pages 638-655, March.
    • Handle: RePEc:eee:jetheo:v:146:y:2011:i:2:p:638-655
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    References listed on IDEAS

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    Cited by:

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    2. Yuhki Hosoya & Chaowen Yu, 2022. "On the approximate purification of mixed strategies in games with infinite action sets," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 69-93, May.
    3. Taneva, Ina A, 2015. "Information Design," SIRE Discussion Papers 2015-50, Scottish Institute for Research in Economics (SIRE).
    4. Capraro, Valerio & Scarsini, Marco, 2013. "Existence of equilibria in countable games: An algebraic approach," Games and Economic Behavior, Elsevier, vol. 79(C), pages 163-180.
    5. Taneva, Ina A, 2015. "Information Design," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-50, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    6. He, Wei & Sun, Yeneng, 2019. "Pure-strategy equilibria in Bayesian games," Journal of Economic Theory, Elsevier, vol. 180(C), pages 11-49.
    7. Ina Taneva, 2019. "Information Design," American Economic Journal: Microeconomics, American Economic Association, vol. 11(4), pages 151-185, November.
    8. Sofia Moroni, 2020. "Existence of Trembling hand perfect and sequential equilibrium in Stochastic Games," Working Paper 6837, Department of Economics, University of Pittsburgh.
    9. 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.

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