Green, Edward J. (1984) Continuum and finite-player noncooperative models of competition. Econometrica, 52 (4). pp. 975-993. ISSN 0012-9682. doi:10.2307/1911194. https://resolver.caltech.edu/CaltechAUTHORS:20171116-142209931
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Abstract
The anonymous interaction of large numbers of economic agents is a kind of noncooperative situation which is markedly different from small-numbers strategic conflict. The nonatomic game has been introduced as a model for these many-agent situations. This paper contains a precise definition of what it means for a nonatomic game to be the limit of a sequence of finite-player games, and a theorem which states when the limit of equilibria of finite-player games will be an equilibrium of the nonatomic limit game. This is analogous to theorems prompted by Edgeworth's conjecture in core theory.
Item Type: | Article | ||||||||||||
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Additional Information: | © 1984 The Econometric Society. I would like to thank Marcus Berliant, Donald Brown, Tatsuro Ichiishi, Ariel Rubenstein, Hugo Sonnenschein, and an anonymous referee for their comments and suggestions. Formerly SSWP 418. | ||||||||||||
Subject Keywords: | Mathematical vectors, Topology, Economic theory, Game theory, Topological spaces, Topological theorems, Statistical theories, Mathematical functions, Economic models, Mathematical theorems | ||||||||||||
Issue or Number: | 4 | ||||||||||||
DOI: | 10.2307/1911194 | ||||||||||||
Record Number: | CaltechAUTHORS:20171116-142209931 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171116-142209931 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 83262 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Jacquelyn Bussone | ||||||||||||
Deposited On: | 16 Nov 2017 22:32 | ||||||||||||
Last Modified: | 15 Nov 2021 19:56 |
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