Wealth Distribution in Scale-Free Networks

Abstract

We propose three concepts for multi-agent simulation: These are the characterization of macroscopic systems, the statistical treatment of heterogeneous agents, and the nature of complex networks. We empirically study wealth distributions to characterize macro-economic systems, and show that a high wealth range follows the power law distribution. This fact motivate us to describe an agent’s activities as a stochastic process. Based on the results presented by recent studies on real-world complex networks, we conclude that business networks fall into the small-world category. We also empirically analyze business network topology and raise the possibility that business networks fall into the scale-free category. We construct an interactive stochastic multiplicative process in complex networks to explain wealth distribution and show that complex distribution appear even if an agent trades the wealth under simple rules. Therefore, it is important to take into account network topology even when we consider multi-agent systems.