Econ Papers Daily / 期刊论文
带部分分配的匹配函数均衡：存在性、唯一性与估计
Matching Function Equilibria with Partial Assignment: Existence, Uniqueness and Estimation
摘要
We argue that models coming from a variety of fields, such as matching models and discrete choice models among others, share a common structure that we call matching function equilibria with partial assignment. This structure includes an aggregate matching function and a system of nonlinear equations. We provide a proof of existence and uniqueness of an equilibrium and propose an efficient algorithm to compute it. For a subclass of matching models, we also develop a new parameter-free approach for constructing the counterfactual matching equilibrium. It has the advantage of not requiring parametric estimation when computing counterfactuals. We use our procedure to analyze the impact of the elimination of the Social Security Student Benefit Program in 1982 on the marriage market in the United States. We estimate several candidate models from our general class of matching functions and select the best fitting model using information based criterion.
中文摘要
我们认为，来自多个领域的模型——例如匹配模型与离散选择模型等——共享一种我们称之为带有部分分配的匹配函数均衡的共同结构。该结构包含一个总量匹配函数和一个非线性方程组。我们给出了均衡存在性与唯一性的证明，并提出了一种高效的计算算法。对于匹配模型的一个子类，我们还开发了一种新的无参数方法来构建反事实匹配均衡。其优势在于，在计算反事实时无需进行参数估计。我们运用该程序分析了1982年取消社会保障学生福利计划对美国婚姻市场的影响。我们从匹配函数的一般类中估计了若干候选模型，并基于信息准则选择了拟合最优的模型。