论文标题
均衡选择:几何方法
Equilibrium selection: a geometric approach
论文作者
论文摘要
在本文中,我们提出了一种几何方法,以选择等级价格。在扰动参数之后,选择了新的价格,彻底选择了两个地图的组成:平衡人的线性化投影,一种基于计量经济学建模的方法和指数图,该方法将切线矢量与该级别的大地测量相关联。作为我们主要结果的必然性,我们证明了在任意数量的商品和两个消费者的情况下,零曲率和平衡唯一性之间的等价性,从而将先前的结果扩展到[6]。
In this paper we propose a geometric approach to the selection of the equi- librium price. After a perturbation of the parameters, the new price is selected thorough the composition of two maps: the projection on the linearization of the equilibrium man- ifold, a method that underlies econometric modeling, and the exponential map, that associates a tangent vector with a geodesic on the manifold. As a corollary of our main result, we prove the equivalence between zero curvature and uniqueness of equilibrium in the case of an arbitrary number of goods and two consumers, thus extending the previous result by [6].