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Evolutionary Stability of Constant Consistent Conjectures

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  • Alex Possajennikov

    (University of Nottingham)

Abstract

The paper shows that there is a close connection between (constant) consistent conjectures in a given game and evolutionary stability of conjectures. Evolutionarily stable conjectures are consistent and consistent conjectures are the only interior candidates for evolutionary stability.

Suggested Citation

  • Alex Possajennikov, 2004. "Evolutionary Stability of Constant Consistent Conjectures," Game Theory and Information 0405009, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpga:0405009
    Note: Type of Document - pdf; pages: 12
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    References listed on IDEAS

    as
    1. Müller, W. & Normann, H.T., 2003. "Conjectural Variations and Evolutionary Stability : A New Rationale for Consistency," Discussion Paper 2003-44, Tilburg University, Center for Economic Research.
    2. Dockner, Engelbert J, 1992. "A Dynamic Theory of Conjectural Variations," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 377-395, December.
    3. John Laitner, 1980. ""Rational" Duopoly Equilibria," The Quarterly Journal of Economics, Oxford University Press, vol. 95(4), pages 641-662.
    4. Dixon, Huw D. & Somma, Ernesto, 2003. "The evolution of consistent conjectures," Journal of Economic Behavior & Organization, Elsevier, vol. 51(4), pages 523-536, August.
    5. 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.
    6. Robert Michaels, 1989. "Conjectural variations and the nature of equilibrium in rent-seeking models," Public Choice, Springer, vol. 60(1), pages 31-39, January.
    7. Lindh, Thomas, 1992. "The inconsistency of consistent conjectures : Coming back to Cournot," Journal of Economic Behavior & Organization, Elsevier, vol. 18(1), pages 69-90, June.
    8. 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.
    9. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    10. 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.
    11. Bresnahan, Timothy F, 1981. "Duopoly Models with Consistent Conjectures," American Economic Review, American Economic Association, vol. 71(5), pages 934-945, December.
    12. 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.
    13. 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 491-502, September.
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    Citations

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    Cited by:

    1. Paulo Brito & Bipasa Datta & Huw Dixon, 2011. "The evolution of mixed conjectures in the rent-extraction game," Discussion Papers 11/06, Department of Economics, University of York.
    2. N. Quérou & M. Tidball, 2014. "Consistent conjectures in a dynamic model of non-renewable resource management," Annals of Operations Research, Springer, vol. 220(1), pages 159-180, September.
    3. Dong, Changgui & Wiser, Ryan & Rai, Varun, 2018. "Incentive pass-through for residential solar systems in California," Energy Economics, Elsevier, vol. 72(C), pages 154-165.
    4. John Heywood & Zheng Wang, 2016. "Consistent location conjectures under spatial price discrimination," Journal of Economics, Springer, vol. 117(2), pages 167-180, March.
    5. Alex Possajennikov, 2016. "Evolution of Consistent Conjectures in Semi-Aggregative Representation of Games, with Applications to Public Good Games and Contests," Discussion Papers 2016-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    6. Leppänen, Ilkka, 2016. "Consistent conjectures and the evolutionary stability of other-regarding preferences," Economics Letters, Elsevier, vol. 142(C), pages 53-55.
    7. Possajennikov, Alex, 2015. "Conjectural variations in aggregative games: An evolutionary perspective," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 55-61.
    8. Ilkka Leppänen, 2018. "Evolutionarily stable conjectures and other regarding preferences in duopoly games," Journal of Evolutionary Economics, Springer, vol. 28(2), pages 347-364, April.

    More about this item

    Keywords

    consistent conjectures; evolutionarily stable strategy; indirect evolution;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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