Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/81096
Authors: 
Balkenborg, Dieter
Hofbauer, Josef
Kuzmics, Christoph
Year of Publication: 
2012
Series/Report no.: 
Working Papers, Institute of Mathematical Economics 466
Abstract: 
This paper provides an in-depth study of the (most) refined best reply correspondence introduced by Balkenborg, Hofbauer, and Kuzmics (2012). An example demonstrates that this correspondence can be very different from the standard best reply correspondence. In two-player games, however, the refined best reply correspondence of a given game is the same as the best reply correspondence of a slightly modified game. The modified game is derived from the original game by reducing the payoff by a small amount for all pure strategies that are weakly inferior. Weakly inferior strategies, for two-player games, are pure strategies that are either weakly dominated or are equivalent to a proper mixture of other pure strategies. Fixed points of the refined best reply correspondence are not equivalent to any known Nash equilibrium refinement. A class of simple communication games demonstrates the usefulness and intuitive appeal of the refined best reply correspondence.
Subjects: 
best-response correspondence
persistent equilibria
Nash equilibrium refnements
strict and weak dominance
strategic stability
JEL: 
C62
C72
C73
Document Type: 
Working Paper

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