The Econometrics of Nonlinear Budget Sets
综述了非线性预算集下选择模型的非参数估计方法，重点介绍预算集回归及其在降低维度、处理异质性方面的优势，并讨论了拐点概率和工具变量估计的应用。
This article surveys the development of nonparametric models and methods for estimation of choice models with nonlinear budget sets.The discussion focuses on the budget set regression, that is, the conditional expectation of a choice variable given the budget set.Utility maximization in a nonparametric model with general heterogeneity reduces the curse of dimensionality in this regression.Empirical results using this regression are different from maximum likelihood and give informative inference.The article also considers the information provided by kink probabilities for nonparametric utility with general heterogeneity.Instrumental variable estimation and the evidence it provides of heterogeneity in preferences are also discussed.