Evolve individual agent strategies to global social law by hierarchical immediate diffusion

Abstract

A social law is a restriction on the set of strategies available to agents [1]. Each agent can select some social strategies in the operation of the systems, however, the social strategies of different agents may collide with each other. Therefore, we need to endow the global social laws for the whole system. In this paper, the social strategy is defined as the living habits of agent, and the social law is the set of living habits which can be accepted by all agents. This paper initiates a study of evolving social strategies of individual agents to global social law of the whole system, which is based on the hierarchical immediate diffusion interaction from superior agents to junior ones. In the diffusion interactions, the agents with superior social position can influence the social strategies of junior agents, so as to reduce the social potential energy of the system. The set of social strategies with the minimum social potential energy can be regarded as the global social law. © 2008 Springer-Verlag Berlin Heidelberg.