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On Purification Of Equilibrium In Bayesian Games And Ex-Post Nash Equilibrium

Author

Listed:
  • Cartwright, Edward

    (EUREQUA, Paris 1)

  • Wooders, Myrna

    (Department of Economics, University of Warwick)

Abstract

We demonstrate that if any realization of a strategy for a Bayesiangame is, with high probability, an approximate Nash equilibrium of the induced game of complete information, then there is purification of that strategy that is an approximate equilibrium of the original Bayesian game. We also provide two examples demonstrating, amongst other things, that the bound we obtain on the distance of the purification from satisfying the requirements for an exact equilibrium is tight.

Suggested Citation

  • Cartwright, Edward & Wooders, Myrna, 2004. "On Purification Of Equilibrium In Bayesian Games And Ex-Post Nash Equilibrium," The Warwick Economics Research Paper Series (TWERPS) 701, University of Warwick, Department of Economics.
    • Handle: RePEc:wrk:warwec:701
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    File URL: https://warwick.ac.uk/fac/soc/economics/research/workingpapers/2008/twerp701.pdf
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    Cited by:

    1. , & , P. & , & ,, 2015. "Strategic uncertainty and the ex-post Nash property in large games," Theoretical Economics, Econometric Society, vol. 10(1), January.
    2. Arsen Palestini & Ilaria Poggio, 2015. "A Bayesian potential game to illustrate heterogeneity in cost/benefit characteristics," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 62(1), pages 23-39, March.
    3. Edward Cartwright & Myrna Wooders, 2009. "On equilibrium in pure strategies in games with many players," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 137-153, March.
    4. Carmona, Guilherme, 2008. "Purification of Bayesian-Nash equilibria in large games with compact type and action spaces," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1302-1311, December.
    5. Deb, Joyee & Kalai, Ehud, 2015. "Stability in large Bayesian games with heterogeneous players," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1041-1055.
    6. Khan, M. Ali & Rath, Kali P. & Sun, Yeneng & Yu, Haomiao, 2013. "Large games with a bio-social typology," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1122-1149.

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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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