Optimization as a result of the interplay between dynamics and structure

TL;DR

This paper investigates how the interaction between network structure and diffusion dynamics influences the emergence of optimal behavior, emphasizing their inseparability in achieving such outcomes.

Contribution

It demonstrates that network structure and diffusion dynamics must be considered together to understand and attain optimal system performance.

Findings

Dynamics and structure are interdependent for optimal behavior

A macroscopic observable characterizes the diffusion process

Optimal regimes depend on the interplay between structure and dynamics

Abstract

In this work we study the interplay between the dynamics of a model of diffusion governed by a mechanism of imitation and its underlying structure. The dynamics of the model can be quantified by a macroscopic observable which permits the characterization of an optimal regime. We show that dynamics and underlying network cannot be considered as separated ingredients in order to achieve an optimal behavior.