Stability, Multistability, and Complexity Analysis in a Dynamic Duopoly Game with Exponential Demand Function

In this paper, a discrete-time dynamic duopoly model, with nonlinear demand and cost functions, is established. The properties of existence local stability equilibrium points have been verified analyzed. conditions are also given the help Jury criterion. With changing values parameters, system shows some new interesting phenomena in terms to multistability, such as V-shaped stable structures (also called Isoperiodic Stable Structures) different shape basins attraction coexisting attractors. eye-shaped appear where period-doubling period-halving bifurcations occur. Finally, by utilizing critical curves, changes topological structure basin reason “holes” formation As result, generation global bifurcation, contact bifurcation or final usually accompanied curves boundary.