论文标题
网络上最佳寻求代理的分层人群的动力学 - 第二部分：稳态分析
Dynamics of a Stratified Population of Optimum Seeking Agents on a Network -- Part II: Steady State Analysis
论文作者
论文摘要
在我们工作的第二部分中，我们研究了人口的稳定状态以及三种动态SSD，NBRD和NRPM的社会效用。这是在第一部分中引入的。我们基于每个节点的最大回报密度参数在网络上提供足够的条件，其中存在唯一的NASH平衡。然后，我们利用动力学的正相关属性来减少流程图，以便在稳态社会效用上提供上限。最后，我们扩展了足够的条件背后的想法，以使其存在独特的NASH平衡，以适当地分配图表，以便在稳态社会效用上提供下限。我们还使用模拟说明了有趣的情况以及我们的结果。
In this second part of our work, we study the steady state of the population and the social utility for the three dynamics SSD, NBRD and NRPM; which were introduced in the first part. We provide sufficient conditions on the network based on a maximum payoff density parameter of each node under which there exists a unique Nash equilibrium. We then utilize positive correlation properties of the dynamics to reduce the flow graph in order to provide an upper bound on the steady state social utility. Finally we extend the idea behind the sufficient condition for the existence of a unique Nash equilibrium to partition the graph appropriately in order to provide a lower bound on the steady state social utility. We also illustrate interesting cases as well as our results using simulations.
