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Reciprocal Relationships and Mechanism Design

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  • Celik, Gorkem
  • Peters, Michael

Abstract

We study an incomplete information game in which players are involved in a reciprocal relationship that allows them to coordinate their actions by contracting among themselves. We model this as a competing mechanism game in which players have the ability to write contracts. We characterize the set of outcome functions that can be supported as equilibrium in this enhanced game. We use our characterization to show that the set of supportable outcomes is bigger than the set of outcomes supported by a centralized mechanism designer who can offer mechanisms in which all players participate. The difference is that the contracting game makes it possible for players to convey partial information about their type at the time they offer contracts.

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  • Celik, Gorkem & Peters, Michael, 2011. "Reciprocal Relationships and Mechanism Design," Microeconomics.ca working papers gorkem_celik-2011-19, Vancouver School of Economics, revised 01 Aug 2011.
    • Handle: RePEc:ubc:pmicro:gorkem_celik-2011-19
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    References listed on IDEAS

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

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    JEL classification:

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

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