论文标题
常规网络结构化和非结构化多人群的进化动力学
Evolutionary Dynamics on a Regular Networked Structured and Unstructured Multi-population
论文作者
论文摘要
在本文中,我们研究了由常规的个人组成网络代表的多人群中的集体决策。每个组都由一组玩家组成,每个玩家都可以在两个选项之间进行选择。一个组的特征是变量表示所承诺的每个选项的个体的分数,并且它们受邻近群体状态的影响。首先,我们研究其稳态,并表明平衡是共识平衡。我们还为局部渐近稳定性提供了足够的条件。然后,我们研究一个结构化模型,现在假定每个人群代表一个结构化的复杂网络。我们用模拟结束了论文,证实了所获得的理论发现。
In this paper we study collective decision making on a multi-population, represented by a regular network of groups of individuals. Each group consists of a collection of players and every player can choose between two options. A group is characterised by variables denoting the fractions of individuals committed to each respective option, and they are influenced by the state of neighboring groups. First, we study its steady-state and show that the equilibrium is a consensus equilibrium. We also derive a sufficient condition for local asymptotic stability. Then, we study a structured model where every population is now assumed to represent a structured complex network. We conclude the paper with simulations, corroborating the obtained theoretical findings.