When are Agents Negligible?
AbstractWe examine the following paradox: In a dynamic setting, an arbitrarily large finite number of agents adn a continuum of agents can lead to radically different equilibrium outcomes. We show that in a simple strategic setting this paradox is a general phenomenon. We also show that the paradox disappears when there is noisy observation of the players' actions: The aggregate level of noise must disappear as the number of players increases, but not too rapidly. We give several economic examples in which this paradox has recently received attention: the durable goods monopoly, corporate takeovers, and time consistency of optimal governmetn policy.
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Bibliographic InfoPaper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1018.
Date of creation: Nov 1992
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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
Web page: http://www.kellogg.northwestern.edu/research/math/
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- Nabil Al-Najjar, 1992. "The Coase Conjecture in Markets with a Finite Number of Consumers," Cahiers de recherche du DÃ©partement des sciences Ã©conomiques, UQAM 9211, Université du Québec à Montréal, Département des sciences économiques.
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- Bagnoli, Mark & Salant, Stephen W & Swierzbinski, Joseph E, 1989. "Durable-Goods Monopoly with Discrete Demand," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1459-78, December.
- Bagwell, Kyle, 1995.
"Commitment and observability in games,"
Games and Economic Behavior,
Elsevier, vol. 8(2), pages 271-280.
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