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Imitation Equilibrium

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Author Info
Reinhard Selten (Center for Interdisciplinary Research, University of Bielefeld)
Axel Ostmann (Center for Interdisciplinary Research, University of Bielefeld)

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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 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 the planning of future experiments.

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Publisher Info
Article provided by Institute of SocioEconomics in its journal Homo Oeconomicus.

Volume (Year): 18 (2001)
Issue (Month): ()
Pages: 111-149
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Handle: RePEc:hom:homoec:v:18:y:2001:p:111-149

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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. 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!]
  2. José Apesteguía & Steffen Huck & Jorg Oechssler, 2003. "Imitation-Theory and Experimental Evidence-," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0306, Departamento de Economía - Universidad Pública de Navarra. [Downloadable!]
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  3. 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!]
  4. Edward Cartwright, 2004. "Learning to Play Approximate Nash Equilibria in Games with Many Players," Working Papers 2004.85, Fondazione Eni Enrico Mattei. [Downloadable!]
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  5. Reynald-Alexandre Laurent, 2006. "Differentiated duopoly with "Elimination by Aspects"," PSE Working Papers 2006-17, PSE (Ecole normale supérieure). [Downloadable!]
  6. David Chavalarias, 2006. "Metamimetic Games : Modeling Metadynamics in Social Cognition," Post-Print hal-00007743_v3, HAL. [Downloadable!]
  7. 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:
  8. 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:
  9. repec:hal:papers:halshs-00088411_v1 is not listed on IDEAS
  10. Jordi Brandts & Klaus Abbink, 2004. "24," Levine's Bibliography 122247000000000073, UCLA Department of Economics. [Downloadable!]
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