结盟博弈：多物种的集体行为
A game of alignment:collective behavior of multi-species
摘要：
我们研究（水）动力学的多物种驱动对齐。区分不同物种的是它们与群体其他成员互动的协议：集体运动由不同的通信内核$ϕ_{αβ}$描述，在物种$α$和$β$中，群体之间的通信内核不同。我们发现，群集的整体人群出现提供的通信阵列之间的物种形成一个连通图。特别是，每个物种内的群体不需要与自己的同类相互作用，即，$ϕ_{αα}=0$ ;参与这种“游戏”的不同物种需要一条连接路径来传播信息，这将导致整个群体的聚集。同样的方法适用于多物种聚集动力学的一阶排列：连接意味着集中在一个新兴的共识。
英文摘要：
We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the collective motion is described by different communication kernels, $ϕ_{αβ}$, between the crowds in species $α$ and $β$. We show that flocking of the overall crowd emerges provided the communication array between species forms a connected graph. In particular, the crowd within each species need not interact with its own kind, i.e., $ϕ_{αα}=0$; different species which are engaged in such `game' of alignment require a connecting path for propagation of information which will lead to the flocking of overall crowd. The same methodology applies to multi-species aggregation dynamics governed by first-order alignment: connectivity implies concentration around an emerging consensus.
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