AI 中文总结
研究生态进化公共品博弈中合作如何持续，通过复杂网络上合作者和背叛者不同扩散速率，揭示不对称迁移和异质连接性共同促进结构化群体中合作，包括对称破缺转变、枢纽合作情况及多稳定性分析等。
AI 中文摘要
理解尽管自私行为具有优势，合作如何持续存在仍是进化动力学中的核心挑战。经典公共品困境模型预测背叛者占主导，但自然和社会系统常能维持合作。我们研究了复杂网络上的生态进化公共品博弈，其中合作者和背叛者以不同速率扩散。当孤立系统处于背叛者主导的共存状态时，背叛者比合作者扩散得更快会导致对称破缺转变，产生合作者的局部集群。在异质网络中，连接性更高的节点更易表现出合作主导。基于度的平均场简化通过表明网络连接性控制与节点度成比例的有效耦合强度来支持这一结果，从而产生将背叛者主导和合作状态分开的分岔。我们还通过多稳定性分析探讨了为何并非所有枢纽都变得合作。这些结果揭示了不对称迁移和异质连接性如何共同促进结构化群体中的合作。
英文摘要
Understanding how cooperation persists despite the advantage of selfish behavior remains a central challenge in evolutionary dynamics. Classical models of public goods dilemmas predict dominance of defectors, yet natural and social systems often sustain cooperation. We study an eco-evolutionary public goods game on complex networks where cooperators and defectors diffuse at different rates. When the isolated system is in a defector-dominated coexistence regime, faster dispersal of defectors than cooperators leads to a symmetry-breaking transition that produces localized clusters of cooperators. In heterogeneous networks, nodes with higher connectivity become significantly more likely to exhibit cooperative dominance. A degree-based mean-field reduction supports this result by showing that network connectivity controls an effective coupling strength proportional to node degree, thereby producing a bifurcation that separates defector-dominated and cooperative states. We also address why not all hubs become cooperative by means of a multistability analysis. These results reveal how asymmetric mobility and heterogeneous connectivity jointly promote cooperation in structured populations.
Comments28 pages, 15 figures, supplementary information; accepted for publication in PNAS
Journal refProc. Natl. Acad. Sci. U.S.A. 123, e2530131123 (2026)
