Imitators and Optimizers in a Changing Environment

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Imitators and Optimizers in a Changing Environment

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Burkhard Hehenkamp
Oddvar Kaarbøe

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Burkhard Hehenkamp

Abstract

We analyze the dynamic interaction between imitators and optimizers in a changing world. To this end, we put forward a symmetric duopoly game of strategic substitutes where players interact repeatedly in a world of demand- and cost-uncertainty. If the environment changes every period, the process converges globally to a unique two-period cycle where the optimizer has highest payoff every period. As to the general stochastic case, we characterize the long-run average per-period payoff for the optimizer and the imitator respectively as a function of the environmental switching probabilities. It turns out that the imitator experiences selection pressure for a large range of switching probabilities.

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Paper provided by University of Dortmund, Department of Economics in its series Discussion Papers in Economics with number 02_01.

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Length: 31 pages
Date of creation: Dec 2004
Date of revision:
Handle: RePEc:mik:wpaper:02_01

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This paper has been announced in the following NEP Reports:

NEP-ALL-2006-06-17 (All new papers)

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.:

Schenk-Hoppe, Klaus Reiner, 2000. "The evolution of Walrasian behavior in oligopolies," Journal of Mathematical Economics, Elsevier, vol. 33(1), pages 35-55, February. [Downloadable!] (restricted)
Conlisk, John, 1980. "Costly optimizers versus cheap imitators," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 275-293, September. [Downloadable!] (restricted)
Droste, E. & Hommes, C.H. & Tuinstra, J., 1999. "Endogenous Fluctuations under Evolutionary Pressure in Cournot Competition," CeNDEF Working Papers 99-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
Other versions:
- Droste, Edward & Hommes, Cars & Tuinstra, Jan, 2002. "Endogenous fluctuations under evolutionary pressure in Cournot competition," Games and Economic Behavior, Elsevier, vol. 40(2), pages 232-269, August. [Downloadable!] (restricted)
Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January. [Downloadable!] (restricted)
Other versions:
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)

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(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.)

Schipper, Burkhard, 2008. "Imitators and Optimizers in Cournot Oligopoly," Working Papers 05-37, University of California at Davis, Department of Economics. [Downloadable!]
Other versions:
- Burkhard C. Schipper, 2005. "Imitators and Optimizers in Cournot Oligopoly," Discussion Papers 53, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
- Burkhard Schipper, 2002. "Imitators and Optimizers in Cournot Oligopoly," Bonn Econ Discussion Papers bgse29_2002, University of Bonn, Germany. [Downloadable!]

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