A note on the equilibria of an economic model with local competition a la Cournot

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article; Proceedings Paper

Guirao, Juan L. G.¹  Lopez, Miguel A.²  Llibre, Jaurne³  Martinez, Raquel² 

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Hosp Marina, Cartagena, Region De Murci, Spain

[2] Univ Castilla La Mancha, Dept Matemat, Cuenca 16071, Castilla La Man, Spain

[3] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

关键词: Discrete dynamical systems and economics;    Cournot duopoly;    Cournot-like model;    Equilibrium point;   

DOI  :  10.1016/j.cam.2010.11.030

来源: Elsevier

【 摘 要 】

Guirao and Rubio (2010) [12] introduce an economic model, which generalizes the classical duopoly of Cournot type, where the competitors are located around a circle or a line and each firm competes a la Cournot with its right and left neighboring. For the case of having three and four players, we describe completely the bifurcations of equilibria in terms of the production costs of each firm and we study the stability of them. Moreover, for the case of four players we provide some information on the two-periodic orbits of the system. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free