IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-04535703.html
   My bibliography  Save this paper

Interacting mechanisms: a perspective on generalized principal-agent problems

Author

Listed:
  • Françoise Forges

    (LEDa - Laboratoire d'Economie de Dauphine - IRD - Institut de Recherche pour le Développement - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique, Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres)

  • Frédéric Koessler

    (GREGHEC - Groupement de Recherche et d'Etudes en Gestion - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique, HEC Paris - Ecole des Hautes Etudes Commerciales)

  • Andrés Salamanca Lugo

    (University of Ca’ Foscari [Venice, Italy])

Abstract

Myerson (1982) formalizes general principal-agent problems, in which agents have private information and choose actions. His contribution is best known for a version of the revelation principle in the case of a single principal but he also introduces a model of interacting principals. We push the latter forward by studying the perfect Bayesian equilibrium outcomes of the corporations' game in which every principal proposes a mechanism to his agents. We show that several versions of the revelation principle hold in our framework and that, under certain conditions, every principals' equilibrium, as defined in Myerson (1982), is a perfect Bayesian equilibrium outcome of the corporations' game.

Suggested Citation

  • Françoise Forges & Frédéric Koessler & Andrés Salamanca Lugo, 2024. "Interacting mechanisms: a perspective on generalized principal-agent problems," Working Papers hal-04535703, HAL.
  • Handle: RePEc:hal:wpaper:hal-04535703
    Note: View the original document on HAL open archive server: https://hal.science/hal-04535703
    as

    Download full text from publisher

    File URL: https://hal.science/hal-04535703/document
    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. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    4. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    5. Gerardi, Dino & Myerson, Roger B., 2007. "Sequential equilibria in Bayesian games with communication," Games and Economic Behavior, Elsevier, vol. 60(1), pages 104-134, July.
    6. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2023. "Equilibrium (non-)existence in games with competing principals," Economics Letters, Elsevier, vol. 222(C).
    7. 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.
    8. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    9. Martimort, David, 1996. "The multiprincipal nature of government," European Economic Review, Elsevier, vol. 40(3-5), pages 673-685, April.
    10. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    11. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    12. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    13. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    14. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    15. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    16. Michael L. Katz, 1991. "Game-Playing Agents: Unobservable Contracts as Precommitments," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 307-328, Autumn.
    17. Han, Seungjin, 2007. "Strongly robust equilibrium and competing-mechanism games," Journal of Economic Theory, Elsevier, vol. 137(1), pages 610-626, November.
    18. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    19. Peters, Michael & Troncoso-Valverde, Cristián, 2013. "A folk theorem for competing mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 953-973.
    20. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    21. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    22. Takuro Yamashita, 2010. "Mechanism Games With Multiple Principals and Three or More Agents," Econometrica, Econometric Society, vol. 78(2), pages 791-801, March.
    23. Laurent Mathevet & Jacopo Perego & Ina Taneva, 2020. "On Information Design in Games," Journal of Political Economy, University of Chicago Press, vol. 128(4), pages 1370-1404.
    24. Takuo Sugaya & Alexander Wolitzky, 2021. "The Revelation Principle in Multistage Games [Information Feedback in a Dynamic Tournament]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(3), pages 1503-1540.
    25. Luo, Xiao & Qiao, Yongchuan & Sun, Yang, 2022. "A revelation principle for correlated equilibrium under trembling-hand perfection," Journal of Economic Theory, Elsevier, vol. 200(C).
    26. Marina Halac & Elliot Lipnowski & Daniel Rappoport, 2022. "Addressing Strategic Uncertainty with Incentives and Information," AEA Papers and Proceedings, American Economic Association, vol. 112, pages 431-437, May.
    27. Makris, Miltiadis & Renou, Ludovic, 2023. "Information design in multi-stage games," Theoretical Economics, Econometric Society, vol. 18(4), November.
    28. Partha Dasgupta & Peter Hammond & Eric Maskin, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 185-216.
    29. Dhillon, Amrita & Mertens, Jean Francois, 1996. "Perfect Correlated Equilibria," Journal of Economic Theory, Elsevier, vol. 68(2), pages 279-302, February.
    30. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
    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 & Ray, Indrajit, 2024. "“Subjectivity and correlation in randomized strategies”: Back to the roots," Journal of Mathematical Economics, Elsevier, vol. 114(C).

    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. Attar, Andrea & Campioni, Eloisa & Mariotti, Thomas & Piaser, Gwenaël, 2021. "Competing mechanisms and folk theorems: Two examples," Games and Economic Behavior, Elsevier, vol. 125(C), pages 79-93.
    2. Attar, Andrea & Campioni, Eloisa & Mariotti, Thomas & Pavan, Alessandro, 2021. "Keeping the Agents in the Dark: Private Disclosures in Competing Mechanisms," TSE Working Papers 21-1227, Toulouse School of Economics (TSE), revised Dec 2023.
    3. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2019. "Private communication in competing mechanism games," Journal of Economic Theory, Elsevier, vol. 183(C), pages 258-283.
    4. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    5. Andrea Attar & Eloisa Campioni & Gwenaël Piaser & Uday Rajan, 2012. "Competing mechanism games of moral hazard: communication and robustness," Review of Economic Design, Springer;Society for Economic Design, vol. 16(4), pages 283-296, December.
    6. Forges, Françoise & Ray, Indrajit, 2024. "“Subjectivity and correlation in randomized strategies”: Back to the roots," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    7. Andrea Attar & Eloisa Campioni & Gwenael Piaser, 2011. "Information Revelation in Competing Mechanism Games," CEIS Research Paper 205, Tor Vergata University, CEIS, revised 04 Jul 2011.
    8. Martimort David & Stole Lars, 2003. "Contractual Externalities and Common Agency Equilibria," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-40, July.
    9. Han, Seungjin, 2014. "Implicit collusion in non-exclusive contracting under adverse selection," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 85-95.
    10. Seungjin Han, 2020. "Quasi Ex-Post Equilibrium in Competing Mechanisms," Department of Economics Working Papers 2020-11, McMaster University.
    11. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2013. "Two-sided communication in competing mechanism games," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 62-70.
    12. repec:ipg:wpaper:2014-049 is not listed on IDEAS
    13. Gwenaël Piaser, 2014. "Incentive compatible mechanisms in multiprincipal multiagent games," Working Papers 2014-49, Department of Research, Ipag Business School.
    14. Galperti, Simone, 2015. "Common agency with informed principals: Menus and signals," Journal of Economic Theory, Elsevier, vol. 157(C), pages 648-667.
    15. Peters, Michael, 2015. "Reciprocal contracting," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 102-126.
    16. Hernández-Murillo, Rubén, 2019. "Interjurisdictional competition with adverse selection," Journal of Public Economics, Elsevier, vol. 173(C), pages 85-95.
    17. Seungjin Han & Siyang Xiong, 2022. "Common Agency with Non-Delegation or Imperfect Commitment," Department of Economics Working Papers 2022-05, McMaster University.
    18. Gerardi, Dino, 2004. "Unmediated communication in games with complete and incomplete information," Journal of Economic Theory, Elsevier, vol. 114(1), pages 104-131, January.
    19. Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," Mathematics of Operations Research, INFORMS, vol. 47(1), pages 153-175, February.
    20. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    21. Frédéric Koessler & Marie Laclau & Jerôme Renault & Tristan Tomala, 2022. "Long information design," Post-Print hal-03700394, HAL.

    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:hal:wpaper:hal-04535703. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.