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Selecting equilibria in common agency games

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  • Martimort, David
  • Stole, Lars

Abstract

We characterize equilibrium payoffs of a delegated common agency game in a public good context where principals use smooth contribution schedules. We prove that under complete information, payoff vectors of equilibria with truthful schedules coincide with the set of smooth equilibrium payoffs, including non-truthful schedules. We next consider whether the presence of arbitrarily small amounts of asymmetric information is enough to refine this payoff set. Providing that the extensions of the equilibrium schedules beyond the equilibrium point are flatter than truthful schedules, the set of equilibrium payoffs is strictly smaller than the set of smooth (equivalently, truthful) equilibrium payoffs. Interestingly, some forms of asymmetric information do not sufficiently constrain the slopes of the extensions and fail to refine the payoff set. In the case of a uniform distribution of types and arbitrary out-of-equilibrium contributions, the refinement has no bite. If, however, one restricts out-of-equilibrium behavior in a natural way, the refinement is effective. Alternatively, we may consider an exponential distribution with unbounded support (and hence no out-of-equilibrium choices) and we find that the refinement selects a unique equilibrium payoff vector equal to Lindahl prices. As a separate contribution, equilibria with forcing contracts are also considered both under complete and asymmetric information.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 144 (2009)
Issue (Month): 2 (March)
Pages: 604-634

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Handle: RePEc:eee:jetheo:v:144:y:2009:i:2:p:604-634

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: Common agency Complete information Asymmetric information Common screening device Equilibrium selection Public good;

References

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  1. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, October.
  2. Laussel, Didier & Le Breton, Michel, 1998. "Efficient Private Production of Public Goods under Common Agency," Games and Economic Behavior, Elsevier, vol. 25(2), pages 194-218, November.
  3. Bernheim, B Douglas & Whinston, Michael D, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 1-31, February.
  4. Laussel, Didier & Le Breton, Michel, 2001. "Conflict and Cooperation: The Structure of Equilibrium Payoffs in Common Agency," Journal of Economic Theory, Elsevier, vol. 100(1), pages 93-128, September.
  5. Georg Kirchsteiger & Andrea Prat, 2001. "Inefficient equilibria in lobbying," ULB Institutional Repository 2013/5901, ULB -- Universite Libre de Bruxelles.
  6. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
  7. Michael Peters, 1999. "Common Agency and the Revelation Principle," Working Papers peters-99-01, University of Toronto, Department of Economics.
  8. Chiesa, Gabriella & Denicolò, Vincenzo, 2009. "Trading with a common agent under complete information: A characterization of Nash equilibria," Journal of Economic Theory, Elsevier, vol. 144(1), pages 296-311, January.
  9. David Martimort & Lars Stole, 2009. "Market participation in delegated and intrinsic common-agency games," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 78-102.
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Citations

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Cited by:
  1. Piccolo, Salvatore & D'Amato, Marcello & Martina, Riccardo, 2008. "Product market competition and organizational slack under profit-target contracts," International Journal of Industrial Organization, Elsevier, vol. 26(6), pages 1389-1406, November.
  2. Semenov, Aggey, 2006. "Common Agency with Risk-Averse Agent," MPRA Paper 6991, University Library of Munich, Germany.
  3. Povilas Lastauskas, 2013. "Europe's Revolving Doors: Import Competition and Endogenous Firm Entry Institutions," Kiel Advanced Studies Working Papers 464, Kiel Institute for the World Economy.
  4. Martimort, David & Semenov, Aggey, 2008. "Ideological uncertainty and lobbying competition," Journal of Public Economics, Elsevier, vol. 92(3-4), pages 456-481, April.
  5. Povilas Lastauskas, 2013. "Europe’s Revolving Doors: Import Competition and Endogenous Firm Entry InstitutionS," Cambridge Working Papers in Economics 1360, Faculty of Economics, University of Cambridge.
  6. Christos Bilanakos, 2011. "Optimal Contracts and Investment in General Human Capital under Common Agency," University of Cyprus Working Papers in Economics 08-2011, University of Cyprus Department of Economics.

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