论文标题
相互作用的非线性增强随机过程：同步和无同步
Interacting non-linear reinforced stochastic processes: synchronization and no-synchronization
论文作者
论文摘要
以前经常选择的行动“有钱人变得更富有”的规则舒适。当代理相互作用时，个人倾向的演变发生了什么？相互作用倾向于同质化，而每个动力学倾向于加强自己的位置。最近在许多论文中考虑了增强过程的随机系统，在许多论文中，渐近行为已被证明显示出A.S.同步。我们在本文中考虑，即使存在代理之间的相互作用，也可能由于选择单个非线性增强而发生同步。我们展示了如何自然将这些系统视为协调游戏，技术或意见动态的模型。
'Rich get richer' rule comforts previously often chosen actions. What is happening to the evolution of individual inclinations to choose an action when agents do interact ? Interaction tends to homogenize while each individual dynamics tends to reinforce its own position. Interacting stochastic systems of reinforced processes were recently considered in many papers, where the asymptotic behavior was proven to exhibit a.s. synchronization. We consider in this paper models where, even if interaction among agents is present, absence of synchronization may happen due to the choice of an individual non-linear reinforcement. We show how these systems can naturally be considered as models for coordination games, technological or opinion dynamics.
