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Reciprocal relationships and mechanism design

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  • Gorkem Celik
  • Michael Peters

Abstract

We study an incomplete information game in which players can coordinate their actions by contracting among themselves. We model this relationship as a reciprocal contracting procedure where each player has the ability to make commitments contingent on the other players' commitments. We differ from the rest of the literature on reciprocal contracting by assuming that punishments cannot be enforced in the event that cooperation breaks down. We fully characterize the outcomes that can be supported as perfect Bayesian equilibrium outcomes in such an environment. We use our characterization to show that the set of supportable outcomes with reciprocal contracting is larger than the set of outcomes available in a centralized mechanism design environment in which the mechanism designer is constrained by his inability to enforce punishments against non-participants. The difference stems from the players' ability in our contracting game to convey partial information about their types at the time they offer contracts. We discuss the implications of our analysis for modelling collusion between multiple agents interacting with the same principal.

Suggested Citation

  • Gorkem Celik & Michael Peters, 2016. "Reciprocal relationships and mechanism design," Canadian Journal of Economics, Canadian Economics Association, vol. 49(1), pages 374-411, February.
    • Handle: RePEc:cje:issued:v:49:y:2016:i:1:p:374-411
    DOI: 10.1111/caje.12201
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    Cited by:

    1. Forges, Françoise & Horst, Ulrich, 2018. "Sender–receiver games with cooperation," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 52-61.
    2. 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.
    3. Gorkem Celik, 2015. "Implementation by Gradual Revelation," RAND Journal of Economics, RAND Corporation, vol. 46(2), pages 271-296, June.
    4. Galperti, Simone, 2015. "Common agency with informed principals: Menus and signals," Journal of Economic Theory, Elsevier, vol. 157(C), pages 648-667.
    5. Balzer, Benjamin & Schneider, Johannes, 2023. "Mechanism design with informational punishment," Games and Economic Behavior, Elsevier, vol. 140(C), pages 197-209.
    6. Koessler, Frédéric & Lambert-Mogiliansky, Ariane, 2013. "Committing to transparency to resist corruption," Journal of Development Economics, Elsevier, vol. 100(1), pages 117-126.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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