论文标题
社交网络中高阶互动的进化动力学
Evolutionary dynamics of higher-order interactions in social networks
论文作者
论文摘要
我们在网络中生活与合作。但是，网络中的链接仅允许成对互动，因此使该框架适合二元游戏，但不适合以两个以上玩家的组合进行的游戏。在这里，我们研究了具有高阶互动的社交系统中公共物品游戏的进化动态。首先，我们表明，统一超图上的游戏对应于混合限制的复制器动力学，为研究网络组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和不同大小组中相互作用的共存如何影响合作的演变。最后，我们将提出的框架应用于从科学和技术中现实世界中协作数据中的组大小的实际依赖性。我们的工作提供了一种实施知情行动来促进社会群体合作的方法。
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 groups of more than two players. 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. Secondly, 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.
