禀赋变化下的均衡选择:一种几何方法

Equilibrium selection under changes in endowments: A geometric approach

Journal of Mathematical Economics · 2023
被引 2
人大 A-ABS 3

中文导读

提出一种几何方法选择均衡价格,通过投影到均衡流形的线性化与指数映射的组合,并证明零曲率与均衡唯一性在任意商品数和两个消费者情况下的等价性。

Abstract

In this paper we propose a geometric approach to the selection of the equilibrium 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 manifold, 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 Loi and Matta (2018).

均衡选择禀赋变动几何方法均衡流形