On the dynamics of a non-linear Duopoly game model

  • Isabella Torcicollo
  • Published 2015


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. Non-linear stability results are reached by the analysis of the stability of a ODE system. & 2013 Elsevier Ltd. All rights reserved.