Limitation of network inhomogeneity in improving cooperation in coevolutionary dynamics

TL;DR

This paper investigates how network inhomogeneity affects cooperation in coevolutionary dynamics, revealing that broader connectivity distributions do not always promote cooperation and that certain distributions can be detrimental.

Contribution

It demonstrates that exponential-like degree distributions can hinder cooperation in adaptive networks, challenging the assumption that inhomogeneity always benefits cooperative behavior.

Findings

Broader connectivity distributions are not always beneficial for cooperation.

Exponential-like degree distribution reduces cooperation levels in CSG.

Inhomogeneity's effect on cooperation depends on the specific network structure.

Abstract

Cooperative behavior is common in nature even if selfishness is sometimes better for an individual. Empirical and theoretical studies have shown that the invasion and expansion of cooperators are related to an inhomogeneous connectivity distribution. Here we study the evolution of cooperation on an adaptive network, in which an individual is able to avoid being exploited by rewiring its link(s). Our results indicate that the broadening of connectivity distribution is not always beneficial for cooperation. Compared with the Poisson-like degree distribution, the exponential-like degree distribution is detrimental to the occurrence of a higher level of cooperation in the continuous snowdrift game (CSG).