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VOL. 53 | 2009 Computing topological entropy in asymmetric Cournot duopoly games with homogeneous expectations
Diana A. Mendes, Vivaldo M. Mendes, J. Sousa Ramos, Orlando Gomes

Editor(s) Saber Elaydi, Kazuo Nishimura, Mitsuhiro Shishikura, Nobuyuki Tose


The main aim of this paper is to analyse the dynamics of nonlinear discrete-time maps generated by duopoly games in which players have homogeneous expectations and heterogenous nonlinear cost functions. This framework leads to reaction functions that are non-monotonic and asymmetric and, in the particular case of naïve expectations, the model takes the form of an anti-triangular map, $T(x, y) = (f(y), g(x))$ characterized by a rich dynamical behavior, from stable to chaotic Nash equilibria. We also present the computation of topological entropy of this nonlinear Cournot model by using tools from symbolic dynamics and tensor products.


Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1184.91099
MathSciNet: MR2582415

Digital Object Identifier: 10.2969/aspm/05310159

Rights: Copyright © 2009 Mathematical Society of Japan


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