关于状态依赖连接的Krause多智能体共识模型（扩展版）
On Krause's multi-agent consensus model with state-dependent connectivity (Extended version)
摘要：
我们研究了一个模型的意见动力学介绍克劳斯：每个代理人有一个真实的数字表示的意见，并更新其意见，平均所有代理人的意见，不同于自己的小于1。我们给出了一个新的证据收敛到集群的代理，在同一集群中的所有代理持有相同的意见。然后，我们引入了一个特定的概念，平衡的稳定性，并提供在一个稳定的平衡的集群间距离的下限。为了更好地理解系统的行为时，代理的数量是大的，我们还介绍和研究一个变种，涉及一个连续的代理，获得部分收敛结果和下界的集群间的距离，在一些温和的假设。
英文摘要：
We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by less than 1. We give a new proof of convergence into clusters of agents, with all agents in the same cluster holding the same opinion. We then introduce a particular notion of equilibrium stability and provide lower bounds on the inter-cluster distances at a stable equilibrium. To better understand the behavior of the system when the number of agents is large, we also introduce and study a variant involving a continuum of agents, obtaining partial convergence results and lower bounds on inter-cluster distances, under some mild assumptions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
