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The geometry of inductive reasoning in games

Author

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  • 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.

Suggested Citation

  • Diana Richards, 1997. "The geometry of inductive reasoning in games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 185-193.
    • 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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    Cited by:

    1. Richards, Diana & Hays, Jude C., 1998. "Navigating a nonlinear environment: An experimental study of decision making in a chaotic setting," Journal of Economic Behavior & Organization, Elsevier, vol. 35(3), pages 281-308, April.
    2. Ding, Zhanwen & Wang, Qiao & Cai, Chaoying & Jiang, Shumin, 2014. "Fictitious play with incomplete learning," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 1-8.
    3. Berger, Ulrich, 2005. "Fictitious play in 2 x n games," Journal of Economic Theory, Elsevier, vol. 120(2), pages 139-154, February.
    4. Ulrich Berger, 2003. "Fictitious play in 2xn games," Game Theory and Information 0303009, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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