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The evolutionary stability of constant consistent conjectures

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  • Possajennikov, Alex

Abstract

In the general context of smooth two-player games, this paper shows that there is a close connection between (constant) consistent conjectures in a given game and the evolutionary stability of these conjectures. Evolutionarily stable conjectures are consistent and consistent conjectures are the only interior candidates to be evolutionarily stable. Examples are provided to illustrate the result.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Behavior & Organization.

Volume (Year): 72 (2009)
Issue (Month): 1 (October)
Pages: 21-29

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Handle: RePEc:eee:jeborg:v:72:y:2009:i:1:p:21-29

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Web page: http://www.elsevier.com/locate/jebo

Related research

Keywords: Consistent conjectures Evolutionary stability Indirect evolution;

References

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  1. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  2. Wieland Müller & Hans-Theo Normann, 2005. "Conjectural Variations and Evolutionary Stability: A Rationale for Consistency," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 161(3), pages 491-, September.
  3. Boyer, Marcel & Moreaux, Michel, 1983. "Consistent versus Non-Consistent Conjectures in Doupoly Theory: Some Examples," Journal of Industrial Economics, Wiley Blackwell, vol. 32(1), pages 97-110, September.
  4. Bresnahan, Timothy F, 1981. "Duopoly Models with Consistent Conjectures," American Economic Review, American Economic Association, vol. 71(5), pages 934-45, December.
  5. Müller, W. & Normann, H.T., 2005. "Conjectural variations and evolutionary stability: A new rationale for consistency," Open Access publications from Tilburg University urn:nbn:nl:ui:12-171915, Tilburg University.
  6. Costrell, Robert M., 1991. "Immiserizing growth with semi-public goods under consistent conjectures," Journal of Public Economics, Elsevier, vol. 45(3), pages 383-389, August.
  7. Lindh, T., 1988. "The Inconsistency Of Consistent Conjectures: Coming Back To Cournot," Papers 1988d, Uppsala - Working Paper Series.
  8. Robert Michaels, 1989. "Conjectural variations and the nature of equilibrium in rent-seeking models," Public Choice, Springer, vol. 60(1), pages 31-39, January.
  9. Friedman, James W. & Mezzetti, Claudio, 2002. "Bounded rationality, dynamic oligopoly, and conjectural variations," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 287-306, November.
  10. Dixon, Huw D. & Somma, Ernesto, 2003. "The evolution of consistent conjectures," Journal of Economic Behavior & Organization, Elsevier, vol. 51(4), pages 523-536, August.
  11. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-95, December.
  12. Jean-Marie, Alain & Tidball, Mabel, 2006. "Adapting behaviors through a learning process," Journal of Economic Behavior & Organization, Elsevier, vol. 60(3), pages 399-422, July.
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Cited by:
  1. Paulo Brito & Bipasa Datta & Huw Dixon, 2012. "The evolution of the mixed conjectures in the rent-extraction game," Discussion Papers 12/33, Department of Economics, University of York.
  2. Nicolas Quérou & Mabel Tidball, 2009. "Consistent Conjectures in a Dynamic Model of Non-renewable Resource Management," Working Papers 09-28, LAMETA, Universtiy of Montpellier, revised Dec 2009.

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