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Studies in Regional Science
Vol. 35 (2005) , No. 1 pp.1-16
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Profitable Chaos in a Duopoly Market with Asymmetric Production Externality
Akio MATSUMOTO1) and Yasuo NONAKA2)
1) Department of Economics, Chuo University
2) Department of Economics, Kanto Gakuin University
Abstract
This study investigates an economic implication of chaotic fluctuations that are observed in a nonlinear economic dynamic model. To this end, it constructs a nonlinear discrete time Cournot duopoly model in which firms have U-shaped or inverted U-shaped reaction functions due to production externality and shows that chaotic output fluctuations can arise for strong nonlinearities. Two main results of this study are: (i) it is theoretically as well as numerically confirmed that one of the duopolists can benefit in the sense that the long-run average profit taken along a chaotic trajectory is higher than the profit taken at an equilibrium point while the other is disadvantaged if both duopolists are homogeneous; (ii) it is verified with numerical simulations that both duopolists can benefit from chaotic trajectories if they are heterogenous.

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To cite this article:
Akio MATSUMOTO and Yasuo NONAKA, “Profitable Chaos in a Duopoly Market with Asymmetric Production Externality”, Studies in Regional Science, Vol. 35, No. 1, 2005, pp1-16 .

doi:10.2457/srs.35.1
JOI  JST.JSTAGE/srs/35.1
Copyright (c) 2007 by The Japan Section of the Regional Science Association International



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