封闭形式的匹配：均衡、识别与比较静态分析
Matching in Closed-Form: Equilibrium, Identification, and Comparative Statics
摘要：
本文给出了具有可转移效用和异质偏好的多维双边匹配问题的封闭公式。当匹配盈余为二次时，特征的边缘分布为正态分布，当偏好的异质性为连续logit类型时，如Choo和Siow（J Polit Econ 114：172-201，2006），我们证明了最优匹配分布也是联合正态分布，并且可以从模型基元以封闭形式计算。相反，二次盈余函数可以从最优匹配分布中识别出来，也是封闭形式。封闭形式的公式使得它在计算上很容易解决问题，即使是非常大量的匹配，并允许定量预测的演变的解决方案，作为技术和匹配人口的特征变化。
英文摘要：
This paper provides closed-form formulas for a multidimensional two-sided matching problem with transferable utility and heterogeneity in tastes. When the matching surplus is quadratic, the marginal distributions of the characteristics are normal, and when the heterogeneity in tastes is of the continuous logit type, as in Choo and Siow (J Polit Econ 114:172-201, 2006), we show that the optimal matching distribution is also jointly normal and can be computed in closed form from the model primitives. Conversely, the quadratic surplus function can be identified from the optimal matching distribution, also in closed-form. The closed-form formulas make it computationally easy to solve problems with even a very large number of matches and allow for quantitative predictions about the evolution of the solution as the technology and the characteristics of the matching populations change.
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。
