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The geometry of inductive reasoning in games

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Author Info
Diana Richards (Department of Political Science, University of Minnesota, Minneapolis, MN 55455, USA)
Abstract

This paper contributes to the recent focus on dynamics in noncooperative games when players use inductive learning. The most well-known inductive learning rule, Brown's fictitious play, is known to converge for $2 \times 2$ games, yet many examples exist where fictitious play reasoning fails to converge to a Nash equilibrium. Building on ideas from chaotic dynamics, this paper develops a geometric conceptualization of instability in games, allowing for a reinterpretation of existing results and suggesting avenues for new results.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 10 (1997)
Issue (Month): 1 ()
Pages: 185-193
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Handle: RePEc:spr:joecth:v:10:y:1997:i:1:p:185-193

Note: Received: October 27, 1995 revised version May 2, 1996
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Related research
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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. "Fictitious play in 2xn games," Game Theory and Information 0303009, EconWPA. [Downloadable!]
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