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A folk theorem for competing mechanisms

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  • Peters, Michael
  • Troncoso-Valverde, Cristián

Abstract

We provide a partial characterization of the set of outcome functions that can be supported as perfect Bayesian equilibrium in the recommendation game described in [T. Yamashita, Mechanism games with multiple principals and three or more agents, Econometrica 78 (2) (2010) 791–801]. We show that the set of outcome functions that can be supported is at least as large as the set supportable by a mechanism designer in the sense of Myerson (Myerson, 1979 [13]). We show how to support random and correlated outcomes as equilibrium outcomes in the recommendation game.

Suggested Citation

  • Peters, Michael & Troncoso-Valverde, Cristián, 2013. "A folk theorem for competing mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 953-973.
    • Handle: RePEc:eee:jetheo:v:148:y:2013:i:3:p:953-973
    DOI: 10.1016/j.jet.2013.01.001
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    References listed on IDEAS

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    1. Michael Peters & Balázs Szentes, 2012. "Definable and Contractible Contracts," Econometrica, Econometric Society, vol. 80(1), pages 363-411, January.
    2. Imre Bárány, 1992. "Fair Distribution Protocols or How the Players Replace Fortune," Mathematics of Operations Research, INFORMS, vol. 17(2), pages 327-340, May.
    3. Tennenholtz, Moshe, 2004. "Program equilibrium," Games and Economic Behavior, Elsevier, vol. 49(2), pages 363-373, November.
    4. Kalai, Adam Tauman & Kalai, Ehud & Lehrer, Ehud & Samet, Dov, 2010. "A commitment folk theorem," Games and Economic Behavior, Elsevier, vol. 69(1), pages 127-137, May.
    5. , & ,, 2012. "Mechanism design and communication networks," Theoretical Economics, Econometric Society, vol. 7(3), September.
    6. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    7. , & ,, 2013. "Implementation of communication equilibria by correlated cheap talk: The two-player case," Theoretical Economics, Econometric Society, vol. 8(1), January.
    8. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    9. Takuro Yamashita, 2010. "Mechanism Games With Multiple Principals and Three or More Agents," Econometrica, Econometric Society, vol. 78(2), pages 791-801, March.
    10. Gerardi, Dino, 2004. "Unmediated communication in games with complete and incomplete information," Journal of Economic Theory, Elsevier, vol. 114(1), pages 104-131, January.
    11. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
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    More about this item

    Keywords

    Competing mechanisms; Collusion; Implementable;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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