Centre for Mathematical Science, City University London, Northampton Square, London EC1V 0HB, UK.
J Theor Biol. 2012 Jun 7;302:70-80. doi: 10.1016/j.jtbi.2012.02.025. Epub 2012 Mar 3.
Recently, models of evolution have begun to incorporate structured populations, including spatial structure, through the modelling of evolutionary processes on graphs (evolutionary graph theory). One limitation of this otherwise quite general framework is that interactions are restricted to pairwise ones, through the edges connecting pairs of individuals. Yet, many animal interactions can involve many players, and theoretical models also describe such multiplayer interactions. We shall discuss a more general modelling framework of interactions of structured populations with the focus on competition between territorial animals, where each animal or animal group has a "home range" which overlaps with a number of others, and interactions between various group sizes are possible. Depending upon the behaviour concerned we can embed the results of different evolutionary games within our structure, as occurs for pairwise games such as the Prisoner's Dilemma or the Hawk-Dove game on graphs. We discuss some examples together with some important differences between this approach and evolutionary graph theory.
最近，进化模型开始通过在图上对进化过程进行建模（进化图论），将结构化种群（包括空间结构）纳入其中。这种通常非常通用的框架的一个限制是，通过连接个体对的边，将相互作用限于成对的相互作用。然而，许多动物的相互作用可能涉及多个参与者，并且理论模型也描述了这种多玩家相互作用。我们将讨论一个更通用的结构化种群相互作用建模框架，重点是具有领地动物之间的竞争，其中每个动物或动物群体都有一个“家域”，与多个其他动物的家域重叠，并且各种群体大小之间的相互作用是可能的。根据所涉及的行为，我们可以在结构中嵌入不同进化博弈的结果，就像在图上的囚徒困境或鹰鸽博弈等成对博弈中那样。我们将一起讨论一些例子，并讨论这种方法与进化图论之间的一些重要区别。
