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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.

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Bibliographic Info

Paper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 85.

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Length: 51 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:cca:wpaper:85

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

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References

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  1. 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.
  2. Peters, Michael & Troncoso-Valverde, Cristián, 2013. "A folk theorem for competing mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 953-973.
  3. Han, Seungjin, 2006. "Menu theorems for bilateral contracting," Journal of Economic Theory, Elsevier, vol. 131(1), pages 157-178, November.
  4. 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.
  5. 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.
  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. 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.
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Citations

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Cited by:
  1. Han, Seungjin, 2014. "Implicit collusion in non-exclusive contracting under adverse selection," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 85-95.
  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 & 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.
  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. 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. Gabor Virag, 2008. "Buyer heterogeneity and competing mechanism," 2008 Meeting Papers 702, Society for Economic Dynamics.
  7. Sambuddha Ghosh & Seungjin Han, 2012. "Repeated Contracting in Decentralised Markets," Department of Economics Working Papers 2012-03, McMaster University, revised May 2013.
  8. 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.

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