"The effect of herding and dispersal on the evolution of cooperation"Haq, HasanEvolutionary graph theory has significantly advanced the process of modelling the evolution of structured populations, which models the interactions between individuals as pairwise contests. These classical evolutionary models have been extended in recent years to incorporate more realistic features, such as multiplayer games. A recent series of papers has developed a new framework including structure, multiplayer interactions, evolutionary dynamics, and movement. However, thus far, the developed models have primarily focused on independent movement e.g., without herding behaviour. Although the theory underlying the framework has been developed and explored in various directions, several movement mechanisms have been developed which characterise coordinated movement, for example, herding and dispersal. In this talk, we develop a model to investigate the evolution of a population under movement distributions where the movement of others influences individuals. Interactions between individuals are modelled using multiplayer social dilemma games such as the multiplayer public goods game. By embedding these newly constructed movement mechanisms within the evolutionary setting of the framework, we demonstrate that certain levels of aggregation and dispersal benefit specific types of individuals. Moreover, by extending existing parameters within the framework, we investigate a general process of embedding any of the considered movement distributions into the evolutionary setting on complete graphs. |
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