论文标题

与社会资源的时空异质性有关

Involution game with spatio-temporal heterogeneity of social resources

论文作者

Wang, Chaoqian, Szolnoki, Attila

论文摘要

当小组成员声称部分资源的一部分时,很容易投入更多的努力来获得更大的份额。但是,如果每个人都采取类似的行动,那么他们都会获得与额外努力相同的作品。这是可以在几种现实生活中发现的游戏困境。这也是一个现实的假设,即资源在时空中并不统一,这可能会影响系统的导致级别。我们在这里介绍了社会资源的时空异质性,并探索了它们对参与的后果。当应用空间异质性时,网络互惠可以减轻对丰富资源的互动,这在同质人群中至关重要。有趣的是,当资源级别适度时,空间异质性会导致大多数希望将投资保持在较低水平的系统中。在极端情况下,当更多的投资效率较低时,这张图片部分恰恰相反。当替代资源水平的存在无法解释互动的出现时,空间异质性也会产生违反直觉效应。如果我们另外应用了时间异质性,那么空间异质性的影响实际上就消失了,并且我们回到较早的人群中观察到的行为。我们的观察结果也可以通过数值求解相应的复制器方程来支持。

When group members claim a portion of limited resources, it is tempting to invest more effort to get a larger share. However, if everyone acts similarly, they all get the same piece they would obtain without extra effort. This is the involution game dilemma that can be detected in several real-life situations. It is also a realistic assumption that resources are not uniform in space and time, which may influence the system's resulting involution level. We here introduce spatio-temporal heterogeneity of social resources and explore their consequences on involution. When spatial heterogeneity is applied, network reciprocity can mitigate the involution for rich resources, which would be critical otherwise in a homogeneous population. Interestingly, when the resource level is modest, spatial heterogeneity causes more intensive involution in a system where most cooperator agents, who want to keep investment at a low level, are present. This picture is partly the opposite in the extreme case when more investment is less effective. Spatial heterogeneity can also produce a counterintuitive effect when the presence of alternative resource levels cannot explain the emergence of involution. If we apply temporal heterogeneity additionally, then the impact of spatial heterogeneity practically vanishes, and we turn back to the behavior observed in a homogeneous population earlier. Our observations are also supported by solving the corresponding replicator equations numerically.

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