A note on the equilibria of an economic model with local competition ''à la Cournot''
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
López, Miguel Angel (Universidad de Castilla-La Mancha. Departamento de Matemáticas)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Martínez, Raquel (Universidad de Castilla-La Mancha. Departamento de Matemáticas)

Date:	2012
Abstract:	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 ''à 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.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03679 Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-550
Note:	Agraïments: This work was supported in part by Fundación Séneca de la Región de Murcia, grant number 08667/PI/08 and JCCM (Junta de Comunidades de Castilla-La Mancha), grant number PEII09-0220-0222.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Cournot duopoly ; Cournot-like model ; Discrete dynamical systems and economics ; Equilibrium point
Published in:	Journal of computational and applied mathematics, Vol. 236 (2012) , p. 3052-3057, ISSN 0377-0427

DOI: 10.1016/j.cam.2010.11.030

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