Chaotic dynamics in nonlinear duopoly game with heterogeneous players

Gibbons, 1992

A. Cournot, Researches into the principles of the theory of wealth, Engl. Trans., Irwin Paper Back Classics in Economics, 1963 (Chapter VII)

Puu, 1991, Chaos in duopoly pricing, Chaos, Solitons & Fractals, 1, 573, 10.1016/0960-0779(91)90045-B

Kopel, 1996, Simple and complex adjustment dynamics in Cournot duopoly models, Chaos, Solitons & Fractals, 12, 2031, 10.1016/S0960-0779(96)00070-7

Agiza, 1998, Explicit stability zones for Cournot games with 3 and 4 competitors, Chaos, Solitons & Fractals, 9, 1955, 10.1016/S0960-0779(98)00006-X

Agiza, 1999, On the stability, bifurcations, chaos and chaos control of Kopel map, Chaos, Solitons & Fractals, 11, 1909, 10.1016/S0960-0779(98)00210-0

Agiza, 2001, The dynamics of Bowley’s model with bounded rationality, Chaos, Solitons & Fractals, 9, 1705, 10.1016/S0960-0779(00)00021-7

Agiza, 2002, Complex dynamics and synchronization of duopoly game with bounded rationality, Mathematics and Computers in Simulation, 58, 133, 10.1016/S0378-4754(01)00347-0

Den-Haan, 2001, The importance of the number of different agents in a heterogeneous asset-pricing model, Journal of Economic Dynamics and Control, 25, 721, 10.1016/S0165-1889(00)00038-5

A. Kirman, J.B. Zimmermann, Economics with heterogeneous Interacting Agents, Lecture Notes in Economics and Mathematical Systems 503, Springer, Berlin, 2001

Borck, 1998, Heterogenous beliefs and routes to chaos in a simple asset pricing model, Journal of Economic Dynamics and Control, 22, 1235, 10.1016/S0165-1889(98)00011-6

T. Onazaki, G. Sieg, M. Yokoo, Stability, chaos and multiple attractors: a single agent makes a difference, Journal of Economic Dynamics and Control, in press

Agiza, 2003, Nonlinear dynamics in the Cournot duopoly game with heterogenous players, Physica A, 320, 512, 10.1016/S0378-4371(02)01648-5

Bischi, 1999, Symmetry-breaking bifurcations and representative firm in dynamic duopoly games, Annals of Operations Research, 89, 253, 10.1023/A:1018931824853

Bischi, 2001, Equilibrium selection in an nonlinear duopoly game with adaptive expectations, Journal of Economic behavior and organization, 46, 73, 10.1016/S0167-2681(01)00188-3

Bischi, 1999, Global analysis of a dynamic duopoly game with bounded rationality, vol. 5

Palis, 1993

Puu, 2000

Kaplan, 1979, A regime observed in a fluid flow model of Lorenz, Communications in Mathematical Physics, 67, 93, 10.1007/BF01221359