Analysis of a Game Model with Nonlinear Demand Functions for Real Estate Market

Abstract

In this paper, the nonlinear demand function method was implemented to analyze the complexity of a game model. This work performed a local stability analysis and found out that the stability of Nash equilibrium is lost through period-doubling bifurcation with some parameters varying.Numerical simulations were used to illustrate bifurcation diagrams, maximal Lyapunov exponents and sensitive dependence on initial conditions. Feedback control method was leverage to stabilize the chaotic behavior of the model. (J.H. Ma) establish a model for the real estate market and study the model numerically.