Complexity Analysis in Evolutionary Game System in the Real Estate Market

摘要

In this paper, an evolutionary game model is constructed by introducing reciprocity theory which based on behavioral economics. The complexity and dynamic characteristics are analyzed by mapping out the bifurcation diagrams, Lyapunov index, the strange attractors, power spectrum and sensitivity depending on the initial conditions which mark the chaotic phenomena. The conclusion can be drawn as disorderly chaotic phenomena is as a result of specific parameter conditions in evolutionary game model. The conditions push the evolutionary game system into a specific area in the form of exponential convergence, and inhibit the evolutionary game from evolving towards the desired direction. Finally a linear feedback controlled method is adopted to achieve the goal of driving the system to a steady state, and the goal of evolving to the desired direction is realized.