Selecting equilibria in common agency games
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.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- LAUSSEL, Didier & LE BRETON, Michel, "undated". "Conflict and cooperation. The structure of equilibrium payoffs in common agency," CORE Discussion Papers RP 1519, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, Oxford University Press, vol. 101(1), pages 1-31.
- Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
- Michael Peters, 1999. "Common Agency and the Revelation Principle," Working Papers peters-99-01, University of Toronto, Department of Economics.
- David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
- David Martimort & Lars Stole, 2001. "The Revelation and Delegation Principles in Common Agency Games," CESifo Working Paper Series 575, CESifo Group Munich.
- 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.
- 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.
- 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.
- Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, February.
- Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521551847, February.
- Kirchsteiger, Georg & Prat, Andrea, 2001. "Inefficient equilibria in lobbying," Journal of Public Economics, Elsevier, vol. 82(3), pages 349-375, December.