Representing equilibrium aggregates in aggregate games with applications to common agency
AbstractAn 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 76 (2012)
Issue (Month): 2 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622836
Aggregate games; Common agency games; Supply-function games;
Find related papers by JEL classification:
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
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.:
- Acemoglu, Daron & Jensen, Martin Kaae, 2009. "Aggregate Comparative Statics," CEPR Discussion Papers 7254, C.E.P.R. Discussion Papers.
- 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.
- 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.
- 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.
- Park, Eun-Soo, 1995. "Incentive Contracting under Limited Liability," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(3), pages 477-90, Fall.
- Ohad Kadan & Philip J. Reny & Jeroen Swinkels, 2011. "Existence of Optimal Mechanisms in Principal-Agent Problems," Working Papers 2011-002, Becker Friedman Institute for Research In Economics.
- Leo K. Simon and William R. Zame., 1987.
"Discontinuous Games and Endogenous Sharing Rules,"
Economics Working Papers
8756, University of California at Berkeley.
- Frank Page & Paulo Monteiro, 2001.
"Three Principles of Competitive Nonlinear Pricing,"
AccessEcon, vol. 28(11), pages A0.
- 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.
- Frank H. Page & Paulo Klinger Monteiro, 2002. "Three principles of competitive nonlinear pricing," Game Theory and Information 0204001, EconWPA.
- Page Junior, Frank H. & Monteiro, Paulo Klinger, 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).
- Novshek, William, 1985.
"On the Existence of Cournot Equilibrium,"
Review of Economic Studies,
Wiley Blackwell, vol. 52(1), pages 85-98, January.
- Martimort, David & Stole, Lars, 2011. "Public Contracting in Delegated Agency Games," MPRA Paper 32874, University Library of Munich, Germany.
- 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.
- 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.
- 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.
- Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, 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.
- 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.
- 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.
- Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November.
- Morris, Stephen Morris & Takashi Ui, 2002.
"Best Response Equivalence,"
Cowles Foundation Discussion Papers
1377, Cowles Foundation for Research in Economics, Yale University.
- 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.
- Richard Cornes & Roger Hartley, 2002.
"Asymmetric Contests with General Technologies,"
Keele Economics Research Papers
KERP 2002/22, Centre for Economic Research, Keele University.
- Michael Peters, 1999.
"Common Agency and the Revelation Principle,"
peters-99-01, University of Toronto, Department of Economics.
- Kukushkin, Nikolai S., 1994. "A fixed-point theorem for decreasing mappings," Economics Letters, Elsevier, vol. 46(1), pages 23-26, September.
- Bernheim, B Douglas & Whinston, Michael D, 1986. "Common Agency," Econometrica, Econometric Society, vol. 54(4), pages 923-42, July.
- Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer, vol. 43(1), pages 45-66, April.
- 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.
- Corchon, Luis C., 1994. "Comparative statics for aggregative games the strong concavity case," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 151-165, December.
- Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
- 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.
- Page Jr., Frank H., 2008. "Catalog competition and stable nonlinear prices," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 822-835, July.
- 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.
- Voorneveld, Mark, 2000. "Best-response potential games," Economics Letters, Elsevier, vol. 66(3), pages 289-295, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.