Self-Organized Societies: On the Sakoda Model of Social Interactions

Abstract EN

We characterize the behavior and the social structures appearing from a model of general social interaction proposed by Sakoda.

The model consists of two interacting populations in a two-dimensional periodic lattice with empty sites.

It contemplates a set of simple rules that combine attitudes, ranges of interactions, and movement decisions.

We analyze the evolution of the 45 different interaction rules via a Potts-like energy function which drives the system irreversibly to an equilibrium or a steady state.

We discuss the robustness of the social structures, dynamical behaviors, and the existence of spatial long range order in terms of the social interactions and the equilibrium energy.