On the dynamics of a 4d local Cournot model
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Natural Sciences Publishing Corporation
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The aim of this paper is to analyze the dynamics of a four dimensional system described in [Appl. Math. Let., 23, 836-838, (2010)], which generalizes the classical Cournot competition in a local way. In particular, by considering an aggregation parameter of production costs, we are able to describe for some ranges of the parameter: the periodic structure, the asymptotic dynamics and the chaotic properties of the system via the study of its topological entropy and the Li and Yorke chaos.
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Applied Mathematics & Information Sciences. 2013, vol. 7, no. 3, p. 857-865.