IDEAS home Printed from https://ideas.repec.org/p/ubc/pmicro/gorkem_celik-2011-19.html
   My bibliography  Save this paper

Reciprocal Relationships and Mechanism Design

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://montoya.econ.ubc.ca/svn/equilibrium_rejection/negotiated_mechanisms/working_paper/reciprocal_mechanisms.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
    2. Michael Peters & Balázs Szentes, 2012. "Definable and Contractible Contracts," Econometrica, Econometric Society, vol. 80(1), pages 363-411, January.
    3. Gorkem Celik, 2015. "Implementation by Gradual Revelation," RAND Journal of Economics, RAND Corporation, vol. 46(2), pages 271-296, June.
    4. repec:dau:papers:123456789/11052 is not listed on IDEAS
    5. Tan, Guofu & Yilankaya, Okan, 2007. "Ratifiability of efficient collusive mechanisms in second-price auctions with participation costs," Games and Economic Behavior, Elsevier, vol. 59(2), pages 383-396, May.
    6. Grossman, Sanford J. & Perry, Motty, 1986. "Perfect sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 39(1), pages 97-119, June.
    7. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    8. Maskin, Eric & Tirole, Jean, 1990. "The Principal-Agent Relationship with an Informed Principal: The Case of Private Values," Econometrica, Econometric Society, vol. 58(2), pages 379-409, March.
    9. Koessler, Frédéric & Lambert-Mogiliansky, Ariane, 2013. "Committing to transparency to resist corruption," Journal of Development Economics, Elsevier, vol. 100(1), pages 117-126.
    10. Bernard Caillaud & Philippe Jehiel, 1998. "Collusion in Auctions with Externalities," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 680-702, Winter.
    11. Tennenholtz, Moshe, 2004. "Program equilibrium," Games and Economic Behavior, Elsevier, vol. 49(2), pages 363-373, November.
    12. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    13. repec:hal:pseose:halshs-00754616 is not listed on IDEAS
    14. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-829, September.
    15. 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.
    16. Cramton Peter C. & Palfrey Thomas R., 1995. "Ratifiable Mechanisms: Learning from Disagreement," Games and Economic Behavior, Elsevier, vol. 10(2), pages 255-283, August.
    17. Jeanne Hagenbach & Frédéric Koessler & Eduardo Perez‐Richet, 2014. "Certifiable Pre‐Play Communication: Full Disclosure," Econometrica, Econometric Society, vol. 82(3), pages 1093-1131, May.
    18. Forges, Françoise, 2013. "A folk theorem for Bayesian games with commitment," Games and Economic Behavior, Elsevier, vol. 78(C), pages 64-71.
    19. Yeon-Koo Che & Jinwoo Kim, 2006. "Robustly Collusion-Proof Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1063-1107, July.
    20. Thomas Philippon & Vasiliki Skreta, 2012. "Optimal Interventions in Markets with Adverse Selection," American Economic Review, American Economic Association, vol. 102(1), pages 1-28, February.
    21. Peters, Michael, 2015. "Reciprocal contracting," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 102-126.
    22. Jean-Jacques Laffont & David Martimort, 1997. "Collusion under Asymmetric Information," Econometrica, Econometric Society, vol. 65(4), pages 875-912, July.
    23. Cramton, Peter C & Palfrey, Thomas R, 1990. "Cartel Enforcement with Uncertainty about Costs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 17-47, February.
    24. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    25. Jean-Jacques Laffont & David Martimort, 2000. "Mechanism Design with Collusion and Correlation," Econometrica, Econometric Society, vol. 68(2), pages 309-342, March.
    26. Maskin, Eric & Tirole, Jean, 1992. "The Principal-Agent Relationship with an Informed Principal, II: Common Values," Econometrica, Econometric Society, vol. 60(1), pages 1-42, January.
    27. Peters, Michael & Troncoso-Valverde, Cristián, 2013. "A folk theorem for competing mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 953-973.
    28. Jean Tirole, 2012. "Overcoming Adverse Selection: How Public Intervention Can Restore Market Functioning," American Economic Review, American Economic Association, vol. 102(1), pages 29-59, February.
    29. Mookherjee, Dilip & Reichelstein, Stefan, 1992. "Dominant strategy implementation of Bayesian incentive compatible allocation rules," Journal of Economic Theory, Elsevier, vol. 56(2), pages 378-399, April.
    30. Bruno Jullien & Jerome Pouyet & Wilfried Sand-Zantman, 2017. "An offer you can't refuse: early contracting with endogenous threat," RAND Journal of Economics, RAND Corporation, vol. 48(3), pages 733-748, August.
    31. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1999. "Multidimensional Mechanism Design for Auctions with Externalities," Journal of Economic Theory, Elsevier, vol. 85(2), pages 258-293, April.
    32. Herold, Florian & Kuzmics, Christoph, 2009. "Evolutionary stability of discrimination under observability," Games and Economic Behavior, Elsevier, vol. 67(2), pages 542-551, November.
    33. Celik, Gorkem & Peters, Michael, 2011. "Equilibrium rejection of a mechanism," Games and Economic Behavior, Elsevier, vol. 73(2), pages 375-387.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Celik, Gorkem & Peters, Michael, 2011. "Equilibrium rejection of a mechanism," Games and Economic Behavior, Elsevier, vol. 73(2), pages 375-387.
    2. Correia-da-Silva, João, 2020. "Self-rejecting mechanisms," Games and Economic Behavior, Elsevier, vol. 120(C), pages 434-457.
    3. Laffont, Jean Jacques, 1997. "Collusion et information asymétrique," L'Actualité Economique, Société Canadienne de Science Economique, vol. 73(4), pages 595-609, décembre.
    4. Laurent Lamy, 2007. "Individual Rationality Under Sequential Decentralized Participation Processes," Working Papers 2007-28, Center for Research in Economics and Statistics.
    5. 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.
    6. Dequiedt, V., 2006. "Ratification and veto constraints in mechanism design," Working Papers 200606, Grenoble Applied Economics Laboratory (GAEL).
    7. Jin Yeub Kim, 2022. "Neutral public good mechanisms," PLOS ONE, Public Library of Science, vol. 17(4), pages 1-16, April.
    8. Jehiel, Philippe & Moldovanu, Benny, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 142, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    9. Bilgehan Karabay, 2017. "Optimal Regulation of Multinationals under Collusion," The World Economy, Wiley Blackwell, vol. 40(8), pages 1687-1706, August.
    10. Asseyer, Andreas, 2016. "Optimal Information Disclosure and Collusion," VfS Annual Conference 2016 (Augsburg): Demographic Change 145779, Verein für Socialpolitik / German Economic Association.
    11. Mookherjee, Dilip & Motta, Alberto & Tsumagari, Masatoshi, 2020. "Consulting collusive experts," Games and Economic Behavior, Elsevier, vol. 122(C), pages 290-317.
    12. Che,Y.-K. & Kim,J., 2004. "Collusion-proof implementation of optimal mechanisms," Working papers 4, Wisconsin Madison - Social Systems.
    13. Nicolas Gruyer, 2008. "Optimal Auctions when a seller is bound to sell to collusive bidders (new version of "using lotteries ...")," Economics Working Papers 06, LEEA (air transport economics laboratory), ENAC (french national civil aviation school).
    14. Kim, Jin Yeub, 2017. "Interim third-party selection in bargaining," Games and Economic Behavior, Elsevier, vol. 102(C), pages 645-665.
    15. Jansen, Jos & Jeon, Doh-Shin & Menicucci, Domenico, 2008. "The organization of regulated production: Complementarities, correlation and collusion," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 327-353, January.
    16. Benjamin Balzer & Johannes Schneider, 2022. "Mechanism Design with Informational Punishment," Papers 2201.01149, arXiv.org, revised Aug 2022.
    17. Martimort, David & Semenov, Aggey, 2008. "The informational effects of competition and collusion in legislative politics," Journal of Public Economics, Elsevier, vol. 92(7), pages 1541-1563, July.
    18. Philippe Jehiel & Laurent Lamy, 2018. "A Mechanism Design Approach to the Tiebout Hypothesis," Journal of Political Economy, University of Chicago Press, vol. 126(2), pages 735-760.
    19. Forges, Françoise, 2013. "A folk theorem for Bayesian games with commitment," Games and Economic Behavior, Elsevier, vol. 78(C), pages 64-71.
    20. Kolotilin, Anton, 2015. "Experimental design to persuade," Games and Economic Behavior, Elsevier, vol. 90(C), pages 215-226.

    More about this item

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ubc:pmicro:gorkem_celik-2011-19. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Maureen Chin (email available below). General contact details of provider: http://www.economics.ubc.ca/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.