Agent-Based Social Simulation Based on Cognitive Economy

Abstract

In this paper, we propose a model based on cognitive economy for the agent-based simulation about the formation of groups in social groups. The research about social balance regarded as a fundamental social process and formation of groups in social groups has a long and rich history. Heider, a founder of the theory of perceptual balance, defined the relations between three actors (P, O, X) as ``positive(+1)", ``negative(-1)"and judge the ``balance"or ``imbalance"of the group from using the product of these three signs in this cycle, and Cartwright et al extended Heider's balance theory to the groups consist of more than three actors to explain more realistic social problems. But in their researches, all the relations between each actors can be categorized only as ``positive (+1)", ``negative (-1)", ``no relation (0)". Then, we propose a model based on cognitive economy that can be categorized as more than three with using eigenvalue of adjacency matrix which represent actor's cognitive image in social groups. Moreover we study how the groups can be formed reaching balance under putting restrictions on the communications between each actors.