论文标题
异质种群中群体大小的协同作用
Group-size dependent synergy in heterogeneous populations
论文作者
论文摘要
当人们合作时，他们期望回报而不是简单的努力。该观察结果是所谓的公共物品游戏的核心，在该游戏中，参与者的贡献乘以$ r $ $ $ $ $ $ $ $的协同效应。但是，较大的群体可能更有效，可以用较大的协同因素来描述。为了详细说明可能的后果，在这项研究中，我们引入了一个模型，其中人群具有不同的组大小，并且应用协同因素取决于组的大小。当$ r $的增量是线性，缓慢或突然的时，我们会检查不同的选择，但是在所有情况下，合作水平都高于使用均质$ r $因数的人群。在后一种情况下，较小的群体的表现更好。但是，当较大组的协同作用增加时，这种行为会逆转。因此，整个社区都受益，因为较大的群体得到更好的奖励。值得注意的是，对于其他异质拓扑，包括无尺度相互作用图，可以观察到类似的定性行为。
When people collaborate, they expect more in return than a simple sum of their efforts. This observation is at the heart of the so-called public goods game, where the participants' contributions are multiplied by an $r$ synergy factor before they are distributed among group members. However, a larger group could be more effective, which can be described by a larger synergy factor. To elaborate on the possible consequences, in this study, we introduce a model where the population has different sizes of groups, and the applied synergy factor depends on the size of the group. We examine different options when the increment of $r$ is linear, slow, or sudden, but in all cases, the cooperation level is higher than that in a population where the homogeneous $r$ factor is used. In the latter case, smaller groups perform better; however, this behavior is reversed when synergy increases for larger groups. Hence, the entire community benefits because larger groups are rewarded better. Notably, a similar qualitative behavior can be observed for other heterogeneous topologies, including scale-free interaction graphs.
