Modeling And Simulation For The Social-Economical Systems Based On The Theory Of Complex Adaptive Systems

Due to the inherent nonlinearity, coupling and distributedness of Complex Social Systems, the traditional mathematical methods are invalid to handle the emergent characteristics and macro behavior of the complex systems. Complexity Science aims to grasp the structure and behavior of large scale systems. It abandoned the traditional reductionism, which asserts that the nature of complex things is reduced to the nature of sums of simpler or more fundamental things. As a foundation of Complexity Science, Complex Adaptive Systems provides a metaphor to the operation of complex system and its methodology—the agent based modeling—facilitates the research and analysis of large-scale systems.This paper traces back the history of complex system and complexity science to summarize the primary schools of system science and its research methods. Chapter 2 emphasizes the theory of Complex Adaptive Systems and the Agent Based Modeling methodology.Based on the research background and the complex phenomena of social-economical system, three computer simulations were built to validate the application. First model is the Artificial Economy Model, which is a virtual world composed of numerous adaptive agents. The Scale free Transaction Network and propagation network emerge out of the local interations of adaptive agents. Second model explained how a bundle of selfish firms compete with each other to emerge an altruism Corporate Social Responsibility(CSR). This model is built on the generalized Lotka-Volterra model which is suitable for multi agent competing system. The third model is proposed to investigate the contagion process on the"small-world"social networks. Simple contagion, complex contagion and multi-dimensional culture disseminations are well explored. The results showed that more links or global interations introduced in the networked systems, more rigorous these culture groups opposed to each other! Globalization can not accelerate the understanding of different cultures but even to increase their gap!The multi agent simulation platforms are introduced at the end of the thesis. The complex system characteristics, such a hierarchy, nonlinearity, emergence and differentiation and so on, got by its model offset the shortage of traditional economics research to a certain extent. This study is of active implication for the advanced application of the theory in China and could hopefully provide some experience technical support for future application of multi agent simulation technology.