The Cournot duopoly game modeled by Kopel, with adaptive expectations, is generalized by introducing the self-diffusion and cross-diffusion terms. General properties, such as boundedness and uniqueness, are obtained. Nonlinear stability results are reached by the analysis of the stability of a ODE system.

On the Dynamics of a Nonlinear Duopoly Game Model

Isabella Torcicollo
2013

Abstract

The Cournot duopoly game modeled by Kopel, with adaptive expectations, is generalized by introducing the self-diffusion and cross-diffusion terms. General properties, such as boundedness and uniqueness, are obtained. Nonlinear stability results are reached by the analysis of the stability of a ODE system.
2013
Istituto Applicazioni del Calcolo ''Mauro Picone''
Continuous Cournot-Kopel model
Nonlinear duopoly game
Nonlinear stability
Adaptive expectations
Self- Cross-diffusion
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/207233
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