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On stability and persistence of some oligopoly models
1Mathematics Department, Faculty of Science, Mansoura University, Mansoura 13556, Egypt.
Nonlinear Dynamics, Psychology, and Life Sciences
|July 24, 2003
Abstract:
A dynamic oligopoly model is given. Its steady state and stability and the bounds of its basin of attraction are studied. Delay (memory) is then introduced. Oligopoly is then reformulated using Smale's game which is more realistic than ordinary games since it takes memory into consideration. Persistence is studied for some oligopoly models.