The dynamics of a triopoly Cournot game

作者: Anna Agliari , Laura Gardini , Tönu Puu

DOI: 10.1016/S0960-0779(99)00160-5

关键词:

摘要: This paper reconsiders the Cournot oligopoly (noncooperative) game with iso-elastic demand and constant marginal costs, one of rare cases where reaction functions can be derived in closed form. It focuses case three competitors, so also extends critical line method for non-invertible maps to study surfaces 3D. By this various bifurcations attractors their basins are studied. As a special restriction map an invariant plane when two firms identical is focused. ” 2000 Elsevier Science Ltd. All rights reserved.

参考文章(25)
Laura Gardini, Ralph H. Abraham, Christian Mira, Chaos in Discrete Dynamical Systems: A Visual Introduction in 2 Dimensions ,(2011)
Pierre Collet, Jean Pierre Eckmann, Iterated maps on the interval as dynamical systems ,(1980)
Tönu Puu, Nonlinear economic dynamics ,(1989)
G.‐I. Bischi, M. Gallegati, A. Naimzada, Symmetry‐breaking bifurcations and representativefirm in dynamic duopoly games Annals of Operations Research. ,vol. 89, pp. 252- 271 ,(1999) , 10.1023/A:1018931824853
Laura Gardini, Christian Mira, Jean-Claude Cathala, Alexandra Barugola, Chaotic Dynamics in Two-Dimensional Noninvertible Maps ,(1996)
Christos E. Frouzakis, Laura Gardini, Ioannis G. Kevrekidis, Gilles Millerioux, Christian Mira, On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps International Journal of Bifurcation and Chaos. ,vol. 07, pp. 1167- 1194 ,(1997) , 10.1142/S0218127497000972
Michael Kopel, Simple and complex adjustment dynamics in Cournot duopoly models Chaos Solitons & Fractals. ,vol. 7, pp. 2031- 2048 ,(1996) , 10.1016/S0960-0779(96)00070-7
Giancarlo Gandolfo, Economic Dynamics, Methods and Models ,(1980)
Gian Italo Bischi, Cristiana Mammana, Laura Gardini, Multistability and cyclic attractors in duopoly games Chaos Solitons & Fractals. ,vol. 11, pp. 543- 564 ,(2000) , 10.1016/S0960-0779(98)00130-1