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Stochastically stable states in an oligopoly with differentiated goods: equivalence of price and quantity strategies

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  • Tanaka, Yasuhito

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  • Tanaka, Yasuhito, 2000. "Stochastically stable states in an oligopoly with differentiated goods: equivalence of price and quantity strategies," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 235-253, October.
  • Handle: RePEc:eee:mateco:v:34:y:2000:i:2:p:235-253
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    1. Schlag, Karl H., 1999. "Which one should I imitate?," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 493-522, May.
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    8. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    9. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, pages 29-56.
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    12. Rhode, Paul & Stegeman, Mark, 2001. "Non-Nash equilibria of Darwinian dynamics with applications to duopoly," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 415-453, March.
    13. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    14. Yasuhito Tanaka, 1999. "Long run equilibria in an asymmetric oligopoly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 705-715.
    15. Leonard Cheng, 1985. "Comparing Bertrand and Cournot Equilibria: A Geometric Approach," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 146-152, Spring.
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    Cited by:

    1. Hehenkamp, Burkhard & Possajennikov, Alex & Guse, Tobias, 2010. "On the equivalence of Nash and evolutionary equilibrium in finite populations," Journal of Economic Behavior & Organization, Elsevier, pages 254-258.
    2. Andreas Wagener, 2013. "Tax Competition, Relative Performance, And Policy Imitation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 1251-1264, November.
    3. Xiao, Tiaojun & Yu, Gang, 2006. "Supply chain disruption management and evolutionarily stable strategies of retailers in the quantity-setting duopoly situation with homogeneous goods," European Journal of Operational Research, Elsevier, vol. 173(2), pages 648-668, September.
    4. Ania, Ana B. & Wagener, Andreas, 2016. "Decentralized redistribution in a laboratory federation," Journal of Urban Economics, Elsevier, vol. 93(C), pages 49-59.
    5. repec:zbw:rwirep:0497 is not listed on IDEAS
    6. Khan, Abhimanyu & Peeters, Ronald, 2017. "Imitation and price competition in a differentiated market," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 177-194.
    7. Mark Armstrong & Steffen Huck, 2011. "Behavioral Economics as Applied to Firms: A Primer," Antitrust Chronicle, Competition Policy International, vol. 1.
    8. Alos-Ferrer, Carlos, 2004. "Cournot versus Walras in dynamic oligopolies with memory," International Journal of Industrial Organization, Elsevier, vol. 22(2), pages 193-217, February.
    9. Ania, Ana B., 2008. "Evolutionary stability and Nash equilibrium in finite populations, with an application to price competition," Journal of Economic Behavior & Organization, Elsevier, pages 472-488.
    10. Harrington, Joseph Jr. & Chang, Myong-Hun, 2005. "Co-evolution of firms and consumers and the implications for market dominance," Journal of Economic Dynamics and Control, Elsevier, pages 245-276.
    11. Kevin Hasker, 2014. "The Emergent Seed: A Representation Theorem for Models of Stochastic Evolution and two formulas for Waiting Time," Levine's Working Paper Archive 786969000000000954, David K. Levine.
    12. Moghadam, Hamed M., 2015. "Price and non-price competition in oligopoly: An analysis of relative payoff maximizers," Ruhr Economic Papers 575, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    13. Andreas Wagener, 2016. "Evolutionary Stability in Fiscal Competition," CESifo Working Paper Series 5791, CESifo Group Munich.
    14. Stegeman, Mark & Rhode, Paul, 2004. "Stochastic Darwinian equilibria in small and large populations," Games and Economic Behavior, Elsevier, vol. 49(1), pages 171-214, October.
    15. Jonas Hedlund, 2015. "Imitation in Cournot oligopolies with multiple markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 567-587, November.
    16. Leininger, Wolfgang & Moghadam, Hamed M., 2014. "Evolutionary Stability in Asymmetric Oligopoly. A Non-Walrasian Result," Ruhr Economic Papers 497, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    17. Wolfgang Leininger & Hamed Moghadam, 2014. "Evolutionary Stability in Asymmetric Oligopoly. A Non-Walrasian Result," Ruhr Economic Papers 0497, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.

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