A Diffusive Strategic Dynamics for Social Systems

TL;DR

This paper introduces a diffusive strategic dynamics model for social systems that incorporates biased spin-flip rules, mimicking phenomena like marketing and political campaigns, and analyzes its critical behavior on various network topologies.

Contribution

The paper presents a novel diffusive strategic dynamics model with biased spin-flips, demonstrating its ability to reproduce social phenomena and exhibit lower critical interaction thresholds than standard models.

Findings

Stable stationary states are reached in simulations.

The model exhibits a lower critical interaction parameter than standard dynamics.

Results are consistent across different network topologies.

Abstract

We propose a model for the dynamics of a social system, which includes diffusive effects and a biased rule for spin-flips, reproducing the effect of strategic choices. This model is able to mimic some phenomena taking place during marketing or political campaigns. Using a cost function based on the Ising model defined on the typical quenched interaction environments for social systems (Erdos-Renyi graph, small-world and scale-free networks), we find, by numerical simulations, that a stable stationary state is reached, and we compare the final state to the one obtained with standard dynamics, by means of total magnetization and magnetic susceptibility. Our results show that the diffusive strategic dynamics features a critical interaction parameter strictly lower than the standard one. We discuss the relevance of our findings in social systems.