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Subjective Games and Equilibria

Kalai, Ehud and Lehrer, Ehud (1993) Subjective Games and Equilibria. Social Science Working Paper, 875. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170823-134424901

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Abstract

Applying the concepts of Nash, Bayesian or correlated equilibrium to analysis of strategic interaction, requires that players possess objective knowledge of the game and opponents' strategies. Such knowledge is often not available. The proposed notions of subjective games, and subjective Na.sh and correlated equilibria, replace unavailable objective knowledge by subjective assessments. When playing such a game repeatedly, subjective optimizers will converge to a subjective equilibrium. We apply this approach to some well known examples including a single multi-arm bandit player, multi-person multi-arm bandit games, and repeated Cournot oligopoly games.


Item Type:Report or Paper (Working Paper)
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http://resolver.caltech.edu/CaltechAUTHORS:20170830-082626610Related ItemPublished Version
Additional Information:The authors wish to acknowledge valuable conversations with Eddie Dekel-Tabak and other seminar participants of the 1993 Summer in Tel Aviv Workshop, the University of California, San Diego, the California Institute of Technology, and the University of Chicago. This research was supported by NSF Economics, Grant Nos. SES-9022305 and SBR-9223156, and by the Division of Humanities and Social Sciences of the California Institute of Technology. This is an extended version of the paper entitled "Bounded Learning Leads to Correlated Equilibrium" (see Kalai and Lehrer (1991)). Published as Kalai, Ehud, and Ehud Lehrer. "Subjective games and equilibria." Games and Economic Behavior 8, no. 1 (1995): 123-163.
Group:Social Science Working Papers
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Funding AgencyGrant Number
NSFSBR-9223156
NSFSES-9022305
Caltech Division of Humanities and Social SciencesUNSPECIFIED
Series Name:Social Science Working Paper
Issue or Number:875
Classification Code:JEL: C73, C83
Record Number:CaltechAUTHORS:20170823-134424901
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170823-134424901
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80737
Collection:CaltechAUTHORS
Deposited By: Jacquelyn Bussone
Deposited On:28 Aug 2017 22:57
Last Modified:03 Oct 2019 18:34

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