IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-03790171.html
   My bibliography  Save this paper

Equilibrium (non-)Existence in Games with Competing Principals

Author

Listed:
  • Andrea Attar

    (CNRS - Centre National de la Recherche Scientifique, TSM - Toulouse School of Management Research - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - CNRS - Centre National de la Recherche Scientifique - TSM - Toulouse School of Management - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse)

  • Eloisa Campioni
  • Gwenaël Piaser

Abstract

We study competing-mechanism games, in which multiple principals contract with multiple agents. We reconsider the issue of non-existence of an equilibrium as first raised by Myerson (1982). In the context of his example, we establish the existence of a perfect Bayesian equilibrium. We clarify that Myerson (1982)'s non-existence result is an implication of the additional requirement he imposes, that each principal selects his preferred continuation equilibrium in the agents' game.

Suggested Citation

  • Andrea Attar & Eloisa Campioni & Gwenaël Piaser, 2022. "Equilibrium (non-)Existence in Games with Competing Principals," Working Papers hal-03790171, HAL.
    • Handle: RePEc:hal:wpaper:hal-03790171
    Note: View the original document on HAL open archive server: https://hal.science/hal-03790171
    as

    Download full text from publisher

    File URL: https://hal.science/hal-03790171/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    3. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    4. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
    5. Randall Wright & Philipp Kircher & Benoît Julien & Veronica Guerrieri, 2021. "Directed Search and Competitive Search Equilibrium: A Guided Tour," Journal of Economic Literature, American Economic Association, vol. 59(1), pages 90-148, March.
    6. Carmona, Guilherme & Fajardo, José, 2009. "Existence of equilibrium in common agency games with adverse selection," Games and Economic Behavior, Elsevier, vol. 66(2), pages 749-760, July.
    7. Han, Seungjin, 2007. "Strongly robust equilibrium and competing-mechanism games," Journal of Economic Theory, Elsevier, vol. 137(1), pages 610-626, November.
    8. 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)

    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 & Piaser, Gwenaël, 2019. "Private communication in competing mechanism games," Journal of Economic Theory, Elsevier, vol. 183(C), pages 258-283.
    2. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    3. 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.
    4. 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.
    5. 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.
    6. Seungjin Han, 2020. "Quasi Ex-Post Equilibrium in Competing Mechanisms," Department of Economics Working Papers 2020-11, McMaster University.
    7. 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.
    8. 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.
    9. Andrea Attar & Eloisa Campioni & Gwenael Piaser, 2011. "Competing Mechanisms, Exclusive Clauses and the Revelation Principle," CEIS Research Paper 201, Tor Vergata University, CEIS, revised 30 Jun 2011.
    10. repec:ipg:wpaper:2014-048 is not listed on IDEAS
    11. Han, Seungjin, 2022. "General competing mechanism games with strategy-proof punishment," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    12. Andrea Attar & Eloisa Campioni & Gwenaël Piaser, 2014. "Competing Mechanisms: Communication under Exclusivity Clauses," Working Papers 2014-48, Department of Research, Ipag Business School.
    13. Auster, Sarah & Gottardi, Piero, 2019. "Competing mechanisms in markets for lemons," Theoretical Economics, Econometric Society, vol. 14(3), July.
    14. Cai, Xiaoming & Gautier, Pieter A. & Wolthoff, Ronald P., 2017. "Search frictions, competing mechanisms and optimal market segmentation," Journal of Economic Theory, Elsevier, vol. 169(C), pages 453-473.
    15. 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.
    16. Han, Seungjin, 2015. "Robust competitive auctions," Economics Letters, Elsevier, vol. 136(C), pages 207-210.
    17. Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," Mathematics of Operations Research, INFORMS, vol. 47(1), pages 153-175, February.
    18. Seungjin Han, 2019. "General Competing Mechanisms with Frictions," Department of Economics Working Papers 2019-09, McMaster University.
    19. Schmitz, Patrick W., 2004. "Job protection laws and agency problems under asymmetric information," European Economic Review, Elsevier, vol. 48(5), pages 1027-1046, October.
    20. Damian Damianov, 2012. "Seller competition by mechanism design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 105-137, September.
    21. Seungjin Han, 2015. "Competing Mechanisms: Theory and Applications in Directed Search Markets," Department of Economics Working Papers 2015-07, McMaster University, revised May 2016.

    More about this item

    Keywords

    Competing Mechanisms; Equilibrium Existence;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:hal:wpaper:hal-03790171. 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.