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.
Luis Garc?a Guirao, Juan; Lampart, Marek; and Hua Zhang, Guo
"On the dynamics of a 4d local Cournot model,"
Applied Mathematics & Information Sciences: Vol. 07
, Article 3.
Available at: https://dc.naturalspublishing.com/amis/vol07/iss3/3