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Truthful Revelation Mechanisms for Simultaneous Common Agency Games

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  • Giacomo Calzolari
  • Alessandro Pavan

Abstract

In games in which multiple principals contract simultaneously and non-cooperatively with the same agent, standard direct revelation mechanisms in which the agent reports his “type”(i.e. his exogenous private information) have been proven inadequate to characterize the entire set of equilibrium outcomes. This paper introduces a more general class of revelation mechanisms in which the agent reports also the contractual decisions he is inducing with the principals. We rst show that such a class has the same nice properties as the class of all unrestricted menus: (i) for any equilibrium of any indirect game with arbitrary communication space for the principals, there exists a truthful equilibrium in the game in which the principals are restricted to o¤er revelation mechanisms that sustains the same outcomes; (ii) any truthful equilibrium is robust in the sense that it remains an equilibrium in any game in which the principals’strategy space is enlarged. We next show how revelation mechanisms can be put to work in applications such as menu auctions, moral hazard settings, and competition in non-linear tariffs to identify necessary and sufficient conditions for the sustainability of outcomes as common agency equilibria.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1458.

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Date of creation: Jul 2007
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Handle: RePEc:nwu:cmsems:1458

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Keywords: mechanism design; contracts; Revelation Principle.;

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  1. Peters, Michael & Troncoso-Valverde, Cristian, 2010. "A Folk Theorem for Competing Mechanisms," Microeconomics.ca working papers michael_peters-2010-17, Vancouver School of Economics, revised 19 Oct 2013.
  2. 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.
  3. Piaser, Gwenaël, 2007. "Direct Mechanisms, Menus and Latent Contracts," MPRA Paper 7049, University Library of Munich, Germany.
  4. Dixit, Avinash & Grossman, Gene M. & Helpman, Elhanan, 1997. "Common Agency and Coordination: General Theory and Application to Government Policy Making," Scholarly Articles 3450061, Harvard University Department of Economics.
  5. Biais, Bruno & Martimort, David & Rochet, Jean-Charles, 1998. "Competing Mechanisms in a Commun Value Environment," IDEI Working Papers 75, Institut d'Économie Industrielle (IDEI), Toulouse.
  6. 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.
  7. 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.
  8. Han, Seungjin, 2006. "Menu theorems for bilateral contracting," Journal of Economic Theory, Elsevier, vol. 131(1), pages 157-178, November.
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Cited by:
  1. Simone Galperti, 2011. "Common Agency with Informed Principals: Menus and Signals," Discussion Papers 1541, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Andrea Attar & Eloisa Campioni & Gwenael Piaser & Uday Rajan, 2011. "Competing Mechanism Games of Moral Hazard: Communication and Robustness," CEIS Research Paper 196, Tor Vergata University, CEIS, revised 10 Jun 2011.
  3. 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.
  4. Han, Seungjin, 2011. "On Take It or Leave It Offers in Common Agency," Microeconomics.ca working papers seungjin_han-2011-11, Vancouver School of Economics, revised 30 Aug 2012.
  5. Gabor Virag, 2008. "Buyer heterogeneity and competing mechanism," 2008 Meeting Papers 702, Society for Economic Dynamics.
  6. Seungjin Han, 2012. "Implicit Collusion in Non-Exclusive Contracting under Adverse Selection," Department of Economics Working Papers 2012-15, McMaster University, revised Apr 2013.
  7. 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.
  8. Calzolari, Giacomo & Denicolo, Vincenzo, 2009. "Competition with exclusive contracts and market-share discounts," CEPR Discussion Papers 7613, C.E.P.R. Discussion Papers.

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