关于稳定总体匹配的显示偏好分析

On the revealed preference analysis of stable aggregate matchings

Theoretical Economics · 2022
被引 5
人大 AABS 4

中文导读

将稳定总体匹配的可检验显示偏好约束重新表述为二分图性质,给出判断匹配是否可理性化的简单条件,并对不可理性化匹配提供贪心算法计算最少需移除的匹配数。

Abstract

Echenique, Lee, Shum, and Yenmez (2013) established the testable revealed preference restrictions for stable aggregate matching with transferable and nontransferable utility and for extremal stable matchings. In this paper, we rephrase their restrictions in terms of properties on a corresponding bipartite graph. From this, we obtain a simple condition that verifies whether a given aggregate matching is rationalizable. For matchings that are not rationalizable, we provide a simple greedy algorithm that computes the minimum number of matches that need to be removed to obtain a rationalizable matching. We also show that the related problem of finding the minimum number of types that we need to remove in order to obtain a rationalizable matching is NP‐complete.

稳定匹配显示偏好二分图可理性化