title: On stability and persistence of some oligopoly models.
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.
authors.affiliation: Mathematics Department, Faculty of Science, Mansoura University, Mansoura 13556, Egypt.
authors.forename: E
authors.initials: E
authors.lastname: Ahmed
authors.forename: A S
authors.initials: AS
authors.lastname: Hegazi