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Imitation Equilibrium

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Author Info
Reinhard Selten
Axel Ostmann

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Abstract

The paper presents the concept of an "imitation equilibrium" and explores it in the context of some simple oligopoly models. The concept applies to normal form games enriched by a "reference structure" specifying a "reference group" for every player. The reference group is a set of other players, whom the player may consider to imitate. Some of these players may not be suitable for imitation for various reasons. Only one of the most successful of the remaining members of the reference group is imitated. Imitation is the adoption of the imitated player's strategy. Imitation equilibrium does not only mean absence of imitation opportunities but also stability against exploratory deviations of "success leaders", i. e. players most successful in their reference groups. Exploration declenches a process of imitation which either leads back to imitation equilibrium directly or by a "return path" after an unsuccessful deviation. The imitation equilibrium concept is motivated by the experimental literature which suggests that under appropriate conditions imitation of the most successful relevant other is an important behavioral force. The concept may be useful for the evaluation of experimental data and for planning of future experiments.

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Publisher Info
Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse16_2000.

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Length: 39
Date of creation: Dec 2000
Date of revision:
Handle: RePEc:bon:bonedp:bgse16_2000

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=494

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Related research
Keywords: Imitation equilibrium oligopoly normal form games experimental economics

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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References listed on IDEAS
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. James W. Friedman, 1965. "An Experimental Study of Cooperative Duopoly," Cowles Foundation Discussion Papers 192, Cowles Foundation, Yale University. [Downloadable!]
  2. Fernando Vega-Redondo, 1999. "Markets under bounded rationality: from theory to facts," Investigaciones Economicas, Fundación SEPI, vol. 23(1), pages 3-26, January. [Downloadable!]
  3. Huck, Steffen & Normann, Hans-Theo & Oechssler, Jorg, 1999. "Learning in Cournot Oligopoly--An Experiment," Economic Journal, Royal Economic Society, vol. 109(454), pages C80-95, March. [Downloadable!] (restricted)
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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. Jose Apesteguia & Steffen Huck & Jörg Oechssler, 2005. "Imitation - Theory and Experimental Evidence -," Working Papers 0419, University of Heidelberg, Department of Economics, revised Apr 2005. [Downloadable!]
    Other versions:
  2. Cartwright, Edward, 2003. "Learning To Play Approximate Nash Equilibria In Games With Many Players," The Warwick Economics Research Paper Series (TWERPS) 671, University of Warwick, Department of Economics. [Downloadable!]
    Other versions:
  3. David Chavalarias, 2006. "L'approche systèmes complexes de la cognition sociale : une façon de penser l'auto-transformation du social ?," Pre- and Post-Print documents halshs-00088411_v1, HAL. [Downloadable!]
  4. Klaus Abbink & Jordi Brandts, 2002. "24," UFAE and IAE Working Papers 523.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
  5. Jordi Brandts & Klaus Abbink, 2004. "24," Levine's Bibliography 122247000000000073, UCLA Department of Economics. [Downloadable!]
  6. Reinhard Selten & Jose Apesteguia, 2002. "Experimentally Observed Imitation and Cooperation in Price Competition on the Circle," Bonn Econ Discussion Papers bgse19_2002, University of Bonn, Germany. [Downloadable!]
    Other versions:
  7. David Chavalarias, 2006. "Metamimetic Games : Modeling Metadynamics in Social Cognition," Pre- and Post-Print documents hal-00007743_v3, HAL. [Downloadable!]
  8. Reynald-Alexandre Laurent, 2006. "Differentiated duopoly with "Elimination by Aspects"," PSE Working Papers 2006-17, PSE (Ecole normale supérieure). [Downloadable!]
  9. Carlo Altavilla & Luigi Luini & Patrizia Sbriglia, 2005. "Social Learning in Market Games," Labsi Experimental Economics Laboratory University of Siena 003, University of Siena. [Downloadable!]
    Other versions:
  10. Cartwright, Edward, 2003. "Imitation and the Emergence of Nash Equilibrium Play in Games with Many Players," The Warwick Economics Research Paper Series (TWERPS) 684, University of Warwick, Department of Economics. [Downloadable!]
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