标题： 交互网络中平衡点的唯一性 显示英文标题

标题： Uniqueness of Equilibria in Interactive Networks

摘要： 本文扩展了Acemoglu等人(2016b)提出的统一网络模型，使得交互函数可以是异质的，并且灵敏度矩阵的谱半径小于或等于一。我们在最终收缩和非收缩假设下证明了均衡的存在性以及（几乎必然）唯一性。在系统风险的研究中应用均衡，我们提供了一个衡量方法来确定如果从网络中移除，造成最大影响的关键参与者。 显示英文摘要

摘要： This paper extends the unified network model, proposed by Acemoglu et al. (2016b), such that interaction functions can be heterogeneous, and the sensitivity matrix has less than or equal to one spectral radius. We show the existence and (almost surely) uniqueness of equilibrium under both eventually contracting and noncontracting assumptions. Applying the equilibrium in the study of systemic risk, we provide a measure to determine the key player who causes the most significant impact if removed from the network.