Competitive evolution in a society of self-interested agents

In this research, we aim at building the competitive evolutional model. We term such an agent with both a selfish-motivation and a social competence as a rational or a self-interested agent. We especially provide the model for investigating collective behaviors that are emerged from local interactions among those self-interested agents. We formulate the knowledge transaction as a methodology of local interaction among agents. They transact each other by exchanging their valuable private knowledge. The exchanged knowledge is shared among agents as common knowledge in the same group. We show the optimal transaction rules depend on the levels of the social competence. We classify social agents into several classes depending on their social competence. We provide the models of describing and analyzing the collective behavior in a group of those self-interested agents with the different social competence in the long-run. We especially provide the evolutionary explanations of studying the collective behaviors motivated by the works of the theory of complex systems. We show the complex collective behaviors can be emerged from the very simple local interactions.