Effect of interaction between rules on rule dynamics in a multi-group minority game

Abstract

Rules such as laws, institutions, and norms are shaped by interactions among social members who are affected by the rules. Since they have such a mutually regulating relationship, the rules can be changed dynamically. However, there are many groups, rules, and complex interactions among them where the rules are mutually enhanced by the interactions in our society. This article considers how interactions between rules shaped in different groups have an influence on rule dynamics. In order to investigate this, we propose a multi-group minority game model in which each agent plays the game in different groups independently, with contact with other group’s members in a cyclic way. Our simulation showed the synchronization phenomena of rule dynamics shaped in different groups. Further, we found that the synchronization rate peaks in the model with interactions in which about half the members of a group are exchanged between different groups and learn other rule dynamics directly.