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Economic natural selection in Bertrand and Cournot settings
Authors:Burkhard Hehenkamp  Cheng-Zhong Qin  Charles Stuart
Affiliation:(1) Department of Economics, University of Dortmund, D-44221 Dortmund, Germany (e-mail: mik-buhe@wiso.uni-dortmund.de), DE;(2) Department of Economics, University of California, Santa Barbara, CA 93106, USA (e-mail: qin@econ.ucsb.edu; stuart@econ.ucsb.edu), US
Abstract:We study economic natural selection in classical oligopoly settings. When underlying pure strategies consist of a finite number of prices, convex monotonic dynamics always converge under a weak condition to the smallest price in the support of the initial state that exceeds marginal cost. When underlying pure strategies consist of a finite number of quantities, monotonic dynamics always converge under a specific condition to a quantity equal or similar to classical Cournot equilibrium.
Keywords:: Oligopoly  Bertrand equilibrium  Cournot equilibrium  Natural selection  Evolutionary games
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