Basque Centre for Climate Change (BC3), Leioa, Spain.
School of Mathematical Sciences, Queen Mary University of London, London, UK.
Nat Hum Behav. 2021 May;5(5):586-595. doi: 10.1038/s41562-020-01024-1. Epub 2021 Jan 4.
We live and cooperate in networks. However, links in networks only allow for pairwise interactions, thus making the framework suitable for dyadic games, but not for games that are played in larger groups. Here, we study the evolutionary dynamics of a public goods game in social systems with higher-order interactions. First, we show that the game on uniform hypergraphs corresponds to the replicator dynamics in the well-mixed limit, providing a formal theoretical foundation to study cooperation in networked groups. Second, we unveil how the presence of hubs and the coexistence of interactions in groups of different sizes affects the evolution of cooperation. Finally, we apply the proposed framework to extract the actual dependence of the synergy factor on the size of a group from real-world collaboration data in science and technology. Our work provides a way to implement informed actions to boost cooperation in social groups.
我们生活在网络中，并与之合作。然而，网络中的链接仅允许进行两两交互，因此该框架适用于二人博弈，但不适用于在更大群体中进行的博弈。在这里，我们研究了具有高阶相互作用的社会系统中公共物品博弈的演化动态。首先，我们表明，在均匀超图上的博弈对应于完全混合极限中的复制者动态，为研究网络群体中的合作提供了正式的理论基础。其次，我们揭示了枢纽的存在以及不同大小群体中相互作用的共存如何影响合作的演化。最后，我们将所提出的框架应用于从科学技术领域的实际合作数据中提取协同因子与群体规模的实际依赖性。我们的工作为在社会群体中实施明智的行动以促进合作提供了一种方法。
