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Best response dynamics for role games

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Author Info
Ulrich Berger () (Vienna University of Economics, Department VW5, Augasse 2-6, A-1090 Vienna, Austria)

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Abstract

In a role game, players can condition their strategies on their player position in the base game. If the base game is strategically equivalent to a zero-sum game, the set of Nash equilibria of the role game is globally asymptotically stable under the best response dynamics. If the base game is 2 ×2, then in the cyclic case the set of role game equilibria is a continuum. We identify a single equilibrium in this continuum that attracts all best response paths outside the continuum.

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Publisher Info
Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 30 (2002)
Issue (Month): 4 ()
Pages: 527-538
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Handle: RePEc:spr:jogath:v:30:y:2002:i:4:p:527-538

Note: Received: June 2001
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Related research
Keywords: Role Games · Best Response Dynamics · Learning · Evolution.;

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Ulrich Berger, 2003. "A general model of best response adaptation," Game Theory and Information 0303008, EconWPA. [Downloadable!]
  2. Ulrich Berger, 2003. "Continuous Fictitious Play via Projective Geometry," Game Theory and Information 0303004, EconWPA. [Downloadable!]
  3. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, EconWPA. [Downloadable!]
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This page was last updated on 2009-11-25.

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