doi:10.1016/j.chaos.2025.117748engDu, ChunpengFang, Feide Miguel-Arribas, AlfonsoLu, YikangWang, YananPan, XinMoreno, YamirEdge-based reputation promotes cooperation in simplicial complexesART-2026-148030Understanding how cooperation emerges and persists is a central challenge in the evolutionary dynamics of social and biological systems. Most prior studies have examined cooperation through pairwise interactions, yet real-world interactions often involve groups and higher-order structures. Reputation is a key mechanism for guiding strategic behavior in such contexts, but its role in higher-order networks remains underexplored. In this study, we introduce an edge-based reputation mechanism, incorporating both direct and indirect reputation, to investigate the evolution of cooperation in simplicial complexes. Our results show that coupling reputation mechanisms with higher-order network structures strongly promotes cooperation, with direct reputation exerting a stronger influence than indirect reputation. Moreover, we reveal a nonlinear interplay between network topology and reputation mechanisms, highlighting how multi-level structures shape collective outcomes. These findings provide a novel theoretical framework for understanding cooperation in complex social systems.2026http://zaguan.unizar.es/record/16856810.1016/j.chaos.2025.117748http://zaguan.unizar.es/record/168568oai:zaguan.unizar.es:168568info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOLinfo:eu-repo/grantAgreement/ES/MICINN/PID2023-149409NB-I00Chaos, Solitons and Fractals 204 (2026), 117748 [10 pp.]All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/closedAccess