2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/23189We 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.RevTex + 4 figs. This version shows analytic results on Figs. 3 and 4Disordered Systems and Neural NetworksSoft Condensed MatterPopulations and Evolutiontext