Echenique, Federico (2003) Mixed equilibria in games of strategic complementarities. Economic Theory, 22 (1). pp. 33-44. ISSN 0938-2259. doi:10.1007/s00199-002-0277-8. https://resolver.caltech.edu/CaltechAUTHORS:20100929-165802397
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Abstract
The literature on games of strategic complementarities (GSC) has focused on pure strategies. I introduce mixed strategies and show that, when strategy spaces are one-dimensional, the complementarities framework extends to mixed strategies ordered by first-order stochastic dominance. In particular, the mixed extension of a GSC is a GSC, the full set of equilibria is a complete lattice and the extremal equilibria (smallest and largest) are in pure strategies. The framework does not extend when strategy spaces are multi-dimensional. I also update learning results for GSC using stochastic fictitious play.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2003 Springer-Verlag. Received: October 16, 2000; revised version: March 7, 2002. I am very grateful to Robert Anderson, David Blackwell, Aaron Edlin, Peter De Marzo, Ted O’Donoghue, Matthew Rabin, Ilya Segal, Chris Shannon, Clara Wang and Federico Weinschelbaum for comments and advise. | |||||||||
| Subject Keywords: | Supermodular games, Strategic complementarities, Mixed strategy equilibria, Learning | |||||||||
| Issue or Number: | 1 | |||||||||
| Classification Code: | JEL Classification Numbers: C72, C73 | |||||||||
| DOI: | 10.1007/s00199-002-0277-8 | |||||||||
| Record Number: | CaltechAUTHORS:20100929-165802397 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100929-165802397 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 20232 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Katherine Johnson | |||||||||
| Deposited On: | 30 Sep 2010 18:54 | |||||||||
| Last Modified: | 08 Nov 2021 23:58 |
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