Echenique, Federico (2002) A Characterization of Strategic Complementarities. Social Science Working Paper, 1142. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170802-152808493
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Abstract
I characterize games for which there is an order on strategies such that the game has strategic complementarities. I prove that, with some qualifications, games with a unique equilibrium have complementarities if and only if Cournot best-response dynamics has no cycles; and that all games with multiple equilibria have complementarities. As applications of my results, I show: 1. That generic 2X2 games either have no pure-strategy equilibria, or have complementarities. 2. That generic two-player infinite ordinal potential games have complementarities.
| Item Type: | Report or Paper (Working Paper) | ||||
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| Additional Information: | I thank an associate editor and a referee for their comments. I also thank Elvio Accinelli, Bob Anderson, Juan Dubra, Paul Milgrom, Stephen Morris, Charles Púugh, Ilya Segal, Chris Shannon, Xavier Vives, and seminar participants at Arizona State and Stanford Universities. A conversation with Ted O'Donoghue and Clara Wang prompted me to work on the research presented here. The non-standard proof of Theorem 3 owes a great deal to Bob Anderson, I am deeply grateful for his help. I worked out the results in Section 8 in response to Stephen Morris's very stimulating questions. Finally, part of this paper was written while I visited UC Berkeley's Economics Department, I appreciate Berkeley's hospitality. Any errors are my responsibility. Published as Echenique, F. (2004). A characterization of strategic complementarities. Games and Economic Behavior, 46(2), 325-347. | ||||
| Group: | Social Science Working Papers | ||||
| Series Name: | Social Science Working Paper | ||||
| Issue or Number: | 1142 | ||||
| Classification Code: | JEL: C62, C72 | ||||
| Record Number: | CaltechAUTHORS:20170802-152808493 | ||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170802-152808493 | ||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||
| ID Code: | 79786 | ||||
| Collection: | CaltechAUTHORS | ||||
| Deposited By: | Jacquelyn Bussone | ||||
| Deposited On: | 02 Aug 2017 23:51 | ||||
| Last Modified: | 26 Nov 2019 11:15 |
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