Dynamical interplay between local connectivity and global competition in a networked population

TL;DR

This paper investigates how local connectivity and global resources influence the dynamics of a networked competitive population, revealing that their interplay determines whether the population becomes heterogeneous or homogeneous.

Contribution

It provides both numerical and analytical insights into how local and global factors jointly shape population structure and performance.

Findings

Small local connectivity increases heterogeneity with limited global resources.

High global resources promote homogeneous, high-performing states.

The study combines numerical simulations with analytical models.

Abstract

We show, both numerically and analytically, that the consequences of 'wiring up' a competitive population depend quite dramatically on the interplay between the local connectivity and the global resources. With modest global resources, adding small amounts of local connectivity yields an increasingly heterogeneous population. With substantial global resources, high-performing yet reasonably homogenous collective states emerge instead.