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Competing Mechanisms and Folk Theorems: Two Examples

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  • Attar, Andrea
  • Campioni, Eloisa
  • Mariotti, Thomas
  • Piaser, Gwenaël

Abstract

We study competing-mechanism games under exclusive competition: principals first simultaneously post mechanisms, after which agents simultaneously choose to participate and communicate with at most one principal. In this setting, which is common to competing-auction and competitive-search applications, we develop two complete-information examples that question the relevance of the folk theorems for competing-mechanism games documented in the literature. The first example shows that there can exist pure-strategy equilibria in which some principal obtains a payoff below her min-max payoff, computed over all principals' decisions. Thus folk-theoremlike results may have to involve a bound on principals' payoffs that depends on the spaces of messages available to the agents, and not only on the players' actions. The second example shows that even this nonintrinsic approach is misleading when agents' participation decisions are strategic: there can exist incentive-feasible allocations in which principals obtain payoffs above their min-max payoffs, computed over arbitrary spaces of mechanisms, but which cannot be supported in equilibrium.

Suggested Citation

  • Attar, Andrea & Campioni, Eloisa & Mariotti, Thomas & Piaser, Gwenaël, 2019. "Competing Mechanisms and Folk Theorems: Two Examples," TSE Working Papers 19-1014, Toulouse School of Economics (TSE), revised Sep 2020.
  • Handle: RePEc:tse:wpaper:123080
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    Cited by:

    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. Andrea Attar & Eloisa Campioni & Thomas Mariotti & Alessandro Pavan, 2021. "Keeping the Agents in the Dark: Private Disclosures in Competing Mechanisms," CEIS Research Paper 519, Tor Vergata University, CEIS, revised 21 Oct 2021.
    3. Seungjin Han, 2020. "Quasi Ex-Post Equilibrium in Competing Mechanisms," Department of Economics Working Papers 2020-11, McMaster University.
    4. Alberto Bucci & Lorenzo Carbonari & Monia Ranalli & Giovanni Trovato, 2019. "Health and Development," CEIS Research Paper 470, Tor Vergata University, CEIS, revised 24 Mar 2021.

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    More about this item

    Keywords

    Competing Mechanisms; Folk Theorems; Exclusive Competition.;
    All these keywords.

    JEL classification:

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

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