Rule ecology dynamics for studying dynamical and interactional nature of social institutions

In this paper, we address a new concept to view a social system as consisting of diversified institutions interacting with each other and dynamically changing through actions of individuals in a society. A mathematical framework for the concept is formalized. The framework, called Rule Ecology Dynamics (RED), is an extension of multi game dynamics, in which players play plural games simultaneously, by introducing time dependent weights for the plural games and a “metarule”. The meta-rule is a rule to determine the change of rules. We show simulation results of two kind of meta-rules , average payoff type and inverse standard deviation type. We discuss that this framework is a realization of rule dynamics and it has certain relevance to describe real phenomena of institutional dynamics.