Detecting simple dynamics in Cournot-like models |
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Authors: | Juan Luis Garcí a Guirao,Raquel Garcí a Rubio, |
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Affiliation: | aDepartamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203-Cartagena, Región de Murcia, Spain;bDepartamento de Matemática Aplicada, Universidad de Alicante, San Vicente del Raspeig s/n, Comunidad Valenciana, Spain |
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Abstract: | We introduced the so-called Cournot-like models, i.e. n-dimensional discrete dynamical systems which constitute the mathematical environment for modeling some economic and biological processes. The main aim of this work is to present a characterization of the dynamical simplicity for these types of systems through the property “to have zero topological entropy”. Cournot-like systems generalize the well-known economic situation of competition in a duopolistic market introduces by Cournot in 1838. |
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Keywords: | Discrete dynamical system Cournot duopoly model Cournot-like map Dynamical simplicity |
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