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Negative results in the theory of games with lexicographic utilities

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Author Info

  • Antonio Quesada

    () (Universitat de València (Spain))

Abstract

When players may have lexicographic utilities, there are: (i) extensive games having a non-empty set of equilibria but empty sets of sequentially rational, sequential and perfect equilibria (ii) normal form games having a non-empty set of equilibria but an empty set of proper equilibria and no stable set of equilibria and (iii) two extensive games having the same normal form representation and disjoint sets of sequential equilibria.

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File URL: http://www.accessecon.com/pubs/EB/2003/Volume3/EB-03C70011A.pdf
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Bibliographic Info

Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 3 (2003)
Issue (Month): 20 ()
Pages: 1-7
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Handle: RePEc:ebl:ecbull:v:3:y:2003:i:20:p:1-7

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Keywords: lexicographic expected utility;

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  1. Peter J. Hammond, 1997. "Non-Archimedean Subjective Probabilities in Decision Theory and Games," Working Papers 97038, Stanford University, Department of Economics.
  2. David Kreps & Robert Wilson, 1998. "Sequential Equilibria," Levine's Working Paper Archive 237, David K. Levine.
  3. Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Equilibrium Refinements," Econometrica, Econometric Society, vol. 59(1), pages 81-98, January.
  4. Rajan, Uday, 1998. "Trembles in the Bayesian Foundations of Solution Concepts of Games," Journal of Economic Theory, Elsevier, vol. 82(1), pages 248-266, September.
  5. E. Kohlberg & J.-F. Mertens, 1998. "On the Strategic Stability of Equilibria," Levine's Working Paper Archive 445, David K. Levine.
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