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Nash Implementation Using Undominated Strategies

Palfrey, Thomas R. and Srivastava, Sanjay (1986) Nash Implementation Using Undominated Strategies. Social Science Working Paper, 649. California Institute of Technology , Pasadena, CA. (Unpublished)

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This paper provides a characterization of fully implementable outcomes using undominated Nash equilibrium, i.e. a Nash equilibrium in which no one uses a weakly dominated strategy. The analysis is conducted in general domains in which agents have complete information. Our main result is that with at least three agents any social choice function or correspondence obeying the usual no veto power condition is implementable unless some players are completely indifferent over all possible outcomes. This result is contrasted with the more restrictive implementation findings with either (unrefined) Nash equilibrium or subgame perfect equilibrium.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription ItemPublished Version
Palfrey, Thomas R.0000-0003-0769-8109
Additional Information:We wish to thank the National Science Foundation for financial support. Profess or Palfrey also thanks the Exxon Educational Foundation and the Alfred P. Sloan Foundation for supporting his fellowship at the Center for Advanced Study in the Behavioral Sciences. We have benefited from comments by seminar participants at Carnegie-Mellon, Penn, Princeton, Stanford, SUNY-Buffalo, and USC, and from discussions with John Moore.
Group:Social Science Working Papers
Funding AgencyGrant Number
Exxon Educational FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Series Name:Social Science Working Paper
Issue or Number:649
Record Number:CaltechAUTHORS:20170908-151520400
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81273
Deposited By: Jacquelyn Bussone
Deposited On:11 Sep 2017 20:34
Last Modified:22 Nov 2019 09:58

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