关于平衡点的局部唯一性的注记：局部平衡点有多孤立？
A note on local uniqueness of equilibria: How isolated is a local equilibrium?
摘要：
本文的目的是说明奇异值如何影响局部唯一性。更准确地说，定理3.1展示了如何构造一个正则平衡点的邻域（一个球），其直径代表局部唯一性的估计，从而提供了一个（局部）唯一平衡点孤立程度的度量。其结果，其相关性的比较静态分析是显而易见的，是基于合理和自然的假设，因此适用于许多不同的设置，从纯交换经济的非合作游戏。
英文摘要：
The motivation of this note is to show how singular values affect local uniqueness. More precisely, Theorem 3.1 shows how to construct a neighborhood (a ball) of a regular equilibrium whose diameter represents an estimate of local uniqueness, hence providing a measure of how isolated a (local) unique equilibrium can be. The result, whose relevance in terms of comparative statics is evident, is based on reasonable and natural assumptions and hence is applicable in many different settings, ranging from pure exchange economies to non-cooperative games.
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。
