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Equilibrium (non-)existence in games with competing principals

Author

Listed:
  • Andrea Attar

    (TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CNRS - Centre National de la Recherche Scientifique, UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse)

  • Eloisa Campioni

    (Università degli Studi di Roma Tor Vergata [Roma, Italia] = University of Rome Tor Vergata [Rome, Italy] = Université de Rome Tor Vergata [Rome, Italie])

  • Gwenaël Piaser

    (IPAG Business School)

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, 2023. "Equilibrium (non-)existence in games with competing principals," Post-Print hal-04216626, HAL.
    • Handle: RePEc:hal:journl:hal-04216626
    DOI: 10.1016/j.econlet.2022.110932
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    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. 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.
    3. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    4. Han, Seungjin, 2007. "Strongly robust equilibrium and competing-mechanism games," Journal of Economic Theory, Elsevier, vol. 137(1), pages 610-626, November.
    5. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    6. 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.
    7. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
    8. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Competing mechanisms; Equilibrium existence;

    JEL classification:

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

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