单纯闭构破坏高阶公共物品博弈中的爆发式合作跃迁
Simplicial closure fragments the explosive cooperation transitions in higher-order public goods games
中文总结 AI 辅助
该研究针对高阶公共物品博弈，发现单纯闭构会选择性破坏超图上的爆发式合作跃迁，其双重作用源于对合作核的调控，是此类跃迁的普遍特征。
中文摘要 AI 辅助
超图（HG）和单纯复形（SC）是高阶网络的两种常见表示形式，当它们编码的群体互动具有可比性时，通常被认为仅存在定量差异。但本研究表明，这一预期在演化合作动力学中不成立。采用具有最小特设参数的受控高阶公共物品博弈（PGG），我们比较了从同一三角形骨架构建的随机HG和SC上的合作跃迁。我们发现单纯闭构的影响具有选择性：当HG上的合作跃迁类似连续型时，施加单纯闭构主要会拓宽跃迁范围而不改变其定性性质；但当HG上的跃迁是爆发式且类似一阶型时，单纯闭构会将紧凑的低/高双稳态分解为大量亚稳态终态。详细分析显示，这种选择性效应源于单纯闭构在合作核动力学中的双重作用：它促进局部合作核的存活，同时抑制其向系统级级联的转化。进一步实验证实，这种分解不依赖于特定收益形式，而是高阶PGG中爆发式合作跃迁的普遍特征。
英文摘要
Hypergraph (HG) and simplicial complex (SC) are two common representations of higher-order networks, and are often expected to differ mainly quantitatively when they encode comparable group interactions. Here we show that this expectation fails in evolutionary cooperation dynamics. Using a controlled higher-order public goods game (PGG) with minimal ad hoc parameters, we compare cooperation transitions on randomized HG and SC constructed from the same triangular backbone. We find that the impact of simplicial closure is selective: when the cooperation transition is continuous-like on HG, imposing simplicial closure mainly broadens the transition without changing its qualitative nature; however, when the transition is explosive and first-order-like on HG, simplicial closure will fragment the compact low/high bistability into a broad ensemble of metastable final states. Detailed analysis reveals that this selective effect arises from the dual role of simplicial closure in cooperative-nucleus dynamics: it promotes the survival of local cooperative nuclei while suppressing their conversion into system-wide cascades. Further experiments confirm that this fragmentation is not tied to a specific payoff form, but is a generic feature of explosive cooperation transitions in higher-order PGGs.
