A game of alignment: Collective behavior of multi-species

Abstract We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes different species is protocol their interaction with rest crowd: collective motion described communication kernels, ? ? ? , between crowds in and ?. show that flocking overall crowd emerges provided array forms a connected graph. In particular, within each need not interact its own kind, i.e., = 0 ; which are engaged such ‘game’ alignment require connecting path for propagation information will lead to crowd. The same methodology applies aggregation dynamics governed first-order alignment: connectivity implies concentration around an emerging consensus.