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Truthful Revelation Mechanisms for Simultaneous Common Agency Games

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  • Alessandro Pavan
  • Giacomo Calzolari

Abstract

This paper considers games in which multiple principals contract simultaneously with the same agent. We introduce a new class of revelation mechanisms that, although it does not always permit a complete equilibrium characterization, it facilitates the characterization of the equilibrium outcomes that are typically of interest in applications (those sustained by pure-strategy profiles in which the agent's behavior in each relationship is Markov, i.e., it depends only on payoff-relevant information such as the agent's type and the decisions he is inducing with the other principals). We then illustrate how these mechanisms can be put to work in environments such as menu auctions, competition in nonlinear tariffs, and moral hazard settings. Lastly, we show how one can enrich the revelation mechanisms, albeit at a cost of an increase in complexity, to characterize also equilibrium outcomes sustained by non-Markov strategies and/or mixed-strategy profiles.

Suggested Citation

  • Alessandro Pavan & Giacomo Calzolari, 2008. "Truthful Revelation Mechanisms for Simultaneous Common Agency Games," Carlo Alberto Notebooks 85, Collegio Carlo Alberto.
  • Handle: RePEc:cca:wpaper:85
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    References listed on IDEAS

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    1. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    2. B. Douglas Bernheim & Michael D. Whinston, 1985. "Common Marketing Agency as a Device for Facilitating Collusion," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 269-281, Summer.
    3. Dixit, Avinash & Grossman, Gene M & Helpman, Elhanan, 1997. "Common Agency and Coordination: General Theory and Application to Government Policy Making," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 752-769, August.
    4. Han, Seungjin, 2006. "Menu theorems for bilateral contracting," Journal of Economic Theory, Elsevier, vol. 131(1), pages 157-178, November.
    5. Peters, Michael & Troncoso-Valverde, Cristián, 2013. "A folk theorem for competing mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 953-973.
    6. Piaser, Gwenaël, 2007. "Direct Mechanisms, Menus and Latent Contracts," MPRA Paper 7049, University Library of Munich, Germany.
    7. Attar, Andrea & Piaser, Gwenael & Porteiro, Nicolas, 2007. "Negotiation and take-it or leave-it in common agency with non-contractible actions," Journal of Economic Theory, Elsevier, vol. 135(1), pages 590-593, July.
    8. Attar, Andrea & Majumdar, Dipjyoti & Piaser, Gwenaël & Porteiro, Nicolás, 2008. "Common agency games: Indifference and separable preferences," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 75-95, July.
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    Cited by:

    1. Martimort, David & Semenov, Aggey & Stole, Lars, 2015. "A Complete Characterization of Equilibria in Two-type Common Agency Screening Games," MPRA Paper 66620, University Library of Munich, Germany.
    2. Giacomo Calzolari & Vincenzo Denicol?, 2013. "Competition with Exclusive Contracts and Market-Share Discounts," American Economic Review, American Economic Association, vol. 103(6), pages 2384-2411, October.
    3. 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.
    4. Ghosh, Sambuddha & Han, Seungjin, 2012. "Repeated Contracting in Decentralised Markets," Microeconomics.ca working papers seungjin_han-2012-12, Vancouver School of Economics, revised 02 May 2013.
    5. Attar, Andrea & Majumdar, Dipjyoti & Piaser, Gwenaël & Porteiro, Nicolás, 2008. "Common agency games: Indifference and separable preferences," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 75-95, July.
    6. Galperti, Simone, 2015. "Common agency with informed principals: Menus and signals," Journal of Economic Theory, Elsevier, vol. 157(C), pages 648-667.
    7. Han, Seungjin, 2014. "Implicit collusion in non-exclusive contracting under adverse selection," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 85-95.
    8. Han, Seungjin, 2012. "On take it or leave it offers in common agency," Economics Letters, Elsevier, vol. 117(3), pages 777-781.
    9. Ales, Laurence & Maziero, Pricila, 2016. "Non-exclusive dynamic contracts, competition, and the limits of insurance," Journal of Economic Theory, Elsevier, vol. 166(C), pages 362-395.

    More about this item

    Keywords

    Mechanism design; contracts; revelation principle; menus; endogenous payoff-relevant information;

    JEL classification:

    • D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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