Representing equilibrium aggregates in aggregate games with applications to common agency
An aggregate game is a normal-form game with the property that each playerʼs payoff is a function of only his own strategy and an aggregate of the strategy profile of all players. Such games possess properties that can often yield simple characterizations of equilibrium aggregates without requiring that one solves for the equilibrium strategy profile. When payoffs have a quasi-linear structure and a degree of symmetry, we construct a self-generating maximization program over the space of aggregates with the property that the solution set corresponds to the set of equilibrium aggregates of the original n-player game. We illustrate the value of this approach in common-agency games where the playersʼ strategy space is an infinite-dimensional space of nonlinear contracts. We derive equilibrium existence and characterization theorems for both the adverse selection and moral hazard versions of these games.
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- Acemoglu, Daron & Jensen, Martin Kaae, 2013.
"Aggregate comparative statics,"
Games and Economic Behavior,
Elsevier, vol. 81(C), pages 27-49.
- Page, Frank Jr. & Monteiro, Paulo K., 2003.
"Three principles of competitive nonlinear pricing,"
Journal of Mathematical Economics,
Elsevier, vol. 39(1-2), pages 63-109, February.
- Page, F.H.Jr. & Monteiro, P.K., 2001. "Three Principles of Competitive Nonlinear Pricing," The Warwick Economics Research Paper Series (TWERPS) 592, University of Warwick, Department of Economics.
- Page Junior, Frank H. & Monteiro, P. K., 2002. "Three principles of competitive nonlinear pricing," Economics Working Papers (Ensaios Economicos da EPGE) 442, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Frank H. Page & Paulo Klinger Monteiro, 2002. "Three principles of competitive nonlinear pricing," Game Theory and Information 0204001, EconWPA.
- Carmona, Guilherme & Fajardo, Jose, 2006.
"Existence of Equilibrium in Common Agency Games with Adverse Selection,"
FEUNL Working Paper Series
wp490, Universidade Nova de Lisboa, Faculdade de Economia.
- Carmona, Guilherme & Fajardo, José, 2009. "Existence of equilibrium in common agency games with adverse selection," Games and Economic Behavior, Elsevier, vol. 66(2), pages 749-760, July.
- Guilherme Carmona & José Fajardo, 2006. "Existence of Equilibrium in Common Agency Games with Adverse Selection," IBMEC RJ Economics Discussion Papers 2006-05, Economics Research Group, IBMEC Business School - Rio de Janeiro.
- Park, Eun-Soo, 1995. "Incentive Contracting under Limited Liability," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(3), pages 477-90, Fall.
- Richard Cornes & Roger Hartley, 2005.
"Asymmetric contests with general technologies,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
- Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-42, July.
- Page Jr., Frank H., 2008. "Catalog competition and stable nonlinear prices," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 822-835, July.
- Peters, Michael, 2001.
"Common Agency and the Revelation Principle,"
Econometric Society, vol. 69(5), pages 1349-72, September.
- Simon, Leo K. & Zame, William R., 1987.
"Discontinous Games and Endogenous Sharing Rules,"
Department of Economics, Working Paper Series
qt8n46v2wv, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Morris, Stephen & Ui, Takashi, 2004.
"Best response equivalence,"
Games and Economic Behavior,
Elsevier, vol. 49(2), pages 260-287, November.
- Innes, Robert D., 1990. "Limited liability and incentive contracting with ex-ante action choices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 45-67, October.
- William Novshek, 1985.
"On the Existence of Cournot Equilibrium,"
Review of Economic Studies,
Oxford University Press, vol. 52(1), pages 85-98.
- 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, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
- Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
- Kukushkin, Nikolai S., 2004. "Best response dynamics in finite games with additive aggregation," Games and Economic Behavior, Elsevier, vol. 48(1), pages 94-110, July.
- Philip J. Reny & Jeroen Swinkels & Ohad Kadan, 2011. "Existence of Optimal Mechanisms in Principal-Agent Problems," Working Papers 2011-002, Becker Friedman Institute for Research In Economics.
- Kukushkin, Nikolai S., 1994. "A fixed-point theorem for decreasing mappings," Economics Letters, Elsevier, vol. 46(1), pages 23-26, September.
- Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
- Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 45-66, April.
- Dubey, Pradeep & Haimanko, Ori & Zapechelnyuk, Andriy, 2006. "Strategic complements and substitutes, and potential games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 77-94, January.
- 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.
- Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
- Novshek, William, 1984. "Finding All n-Firm Cournot Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 61-70, February.
- Martimort, David & Stole, Lars, 2011. "Public Contracting in Delegated Agency Games," MPRA Paper 32874, University Library of Munich, Germany.
- Carlier, Guillaume, 2001. "A general existence result for the principal-agent problem with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 129-150, February.
- Voorneveld, Mark, 2000. "Best-response potential games," Economics Letters, Elsevier, vol. 66(3), pages 289-295, March.
- Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
- Fraysse, Jean, 1993. "Common Agency: Existence of an Equilibrium in the Case of Two Outcomes," Econometrica, Econometric Society, vol. 61(5), pages 1225-29, September.
- Son Ku Kim, 1997. "Limited Liability and Bonus Contracts," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(4), pages 899-913, December.
- Szidarovszky, F & Yakowitz, S, 1977. "A New Proof of the Existence and Uniqueness of the Cournot Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 787-89, October.
- Okuguchi, Koji, 1993. "Unified approach to Cournot models : Oligopoly, taxation and aggregate provision of a pure public good," European Journal of Political Economy, Elsevier, vol. 9(2), pages 233-245, May.
- Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November.
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