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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Best-reply matching in games
Organization Unit
Authors
  • E Droste
  • M Kosfeld
  • M Voorneveld
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Mathematical Social Sciences
Publisher Elsevier
Geographical Reach international
ISSN 0165-4896
Volume 46
Number 3
Page Range 291 - 309
Date 2003
Abstract Text We study a new equilibrium concept in non-cooperative games, where players follow a behavioral rule called best-reply matching. Under this rule a player matches the probability of playing a pure strategy to the probability that this strategy is a best reply. Kosfeld, Droste, and Voorneveld [Games and Economic Behavior 40 (2002) 270] show that best-reply matching equilibria are stationary states in a simple model of social learning, where newborns adopt a best-reply to recent observations of play. In this paper we analyze best-reply matching in more detail and illustrate the concept by means of well-known examples. For example in the centipede game it is shown that players will continue with large probability.
Digital Object Identifier 10.1016/S0165-4896(03)00065-9
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Keywords Best reply, Matching, Equilibrium, Learning, Game theory, Bounded rationality