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A commitment folk theorem

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  • Kalai, Adam Tauman
  • Kalai, Ehud
  • Lehrer, Ehud
  • Samet, Dov

Abstract

Real world players often increase their payoffs by voluntarily committing to play a fixed strategy, prior to the start of a strategic game. In fact, the players may further benefit from commitments that are conditional on the commitments of others. This paper proposes a model of conditional commitments that unifies earlier models while avoiding circularities that often arise in such models. A commitment folk theorem shows that the potential of voluntary conditional commitments is essentially unlimited. All feasible and individually rational payoffs of a two-person strategic game can be attained at the equilibria of one (universal) commitment game that uses simple commitment devices. The commitments are voluntary in the sense that each player maintains the option of playing the game without commitment, as originally defined.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:gamebe:v:69:y:2010:i:1:p:127-137
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Dutta, Rohan & Ishii, Ryosuke, 2016. "Dynamic commitment games, efficiency and coordination," Journal of Economic Theory, Elsevier, vol. 163(C), pages 699-727.
    2. Salomon, Antoine & Forges, Françoise, 2015. "Bayesian repeated games and reputation," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 70-104.
    3. Françoise Forges & Roberto Serrano, 2013. "Cooperative Games With Incomplete Information: Some Open Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    4. Peters, Michael & Troncoso-Valverde, Cristián, 2013. "A folk theorem for competing mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 953-973.
    5. Wiebe Hoek & Cees Witteveen & Michael Wooldridge, 2013. "Program equilibrium—a program reasoning approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 639-671, August.
    6. Juan I Block & David K Levine, 2016. "A Folk Theorem with Codes of Conduct," Levine's Working Paper Archive 786969000000001323, David K. Levine.
    7. Karl Wärneryd, 2014. "Observable Strategies, Commitments, and Contracts," CESifo Working Paper Series 5089, CESifo Group Munich.
    8. Grégoire ROTA-GRAZIOSI, 2016. "Implementing Tax Coordination and Harmonization through Voluntary Commitment," Working Papers P181, FERDI.
    9. Françoise Forges & Ulrich Horst & Antoine Salomon, 2016. "Feasibility and individual rationality in two-person Bayesian games," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 11-36, March.
    10. Juan I. Block & David K. Levine, 2017. "A folk theorem with codes of conduct and communication," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 9-19, April.
    11. Hilbe, Christian & Traulsen, Arne & Sigmund, Karl, 2015. "Partners or rivals? Strategies for the iterated prisoner's dilemma," Games and Economic Behavior, Elsevier, vol. 92(C), pages 41-52.
    12. Juan I. Block & David K. Levine, 2016. "Codes of conduct, private information and repeated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 971-984, November.
    13. repec:eee:gamebe:v:105:y:2017:i:c:p:297-315 is not listed on IDEAS
    14. Koessler, Frédéric & Lambert-Mogiliansky, Ariane, 2013. "Committing to transparency to resist corruption," Journal of Development Economics, Elsevier, vol. 100(1), pages 117-126.
    15. Forges, Françoise, 2013. "A folk theorem for Bayesian games with commitment," Games and Economic Behavior, Elsevier, vol. 78(C), pages 64-71.
    16. Peters, Michael, 2015. "Reciprocal contracting," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 102-126.
    17. Rohan Dutta & Ryosuke Ishii, 2013. "Coordinating by Not Committing : Efficiency as the Unique Outcome," Cahiers de recherche 10-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.

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