A 3-states magnetic model of binary decisions in sociophysics

TL;DR

This paper explores a 3-state magnetic model to understand social processes like cooperation, analyzing how different network topologies influence the model's equilibrium behavior.

Contribution

It introduces a diluted Blume-Capel model applied to social dynamics and examines the impact of various complex network structures on its equilibrium properties.

Findings

Network topology significantly affects social decision dynamics.

Different substrates lead to distinct equilibrium states.

The model provides insights into cooperation and organization in social systems.

Abstract

We study a diluted Blume-Capel model of 3-state sites as an attempt to understand how some social processes as cooperation or organization happen. For this aim we study the effect of the complex network topology on the equilibrium properties of the model, by focusing on three different substrates: random graph, Watts-Strogatz and Newman substrates.