标题： 带内生回归变量的捆绑选择模型：应用于苏打税的研究 显示英文标题

标题： Bundle Choice Model with Endogenous Regressors: An Application to Soda Tax

摘要： 本文提出了一种贝叶斯因子增强捆绑选择模型，用于在存在内生回归变量的情况下估计联合消费以及多种商品之间的替代性和互补性。该模型扩展了现有捆绑选择模型中处理内生性的两种主要方法：（1）市场层面的价格内生性；（2）时间不变的未观察到的个体异质性。采用贝叶斯稀疏因子方法来捕捉导致口味相关性和内生性的高维误差相关性。时变因子载荷允许更一般化的个体层面和时间变化的异质性和内生性，而通过因子载荷上的收缩先验引起的稀疏性则在灵活性与简洁性之间取得了平衡。应用于互补性背景下的汽水税情境中，新方法捕获了之前被忽略的税收的更广泛影响。结果显示，汽水税可以通过边际减少咸味零食和含糖饮料的消费来带来额外的健康效益，从而将健康效益扩展到糖摄入量减少之外。 显示英文摘要

摘要： This paper proposes a Bayesian factor-augmented bundle choice model to estimate joint consumption as well as the substitutability and complementarity of multiple goods in the presence of endogenous regressors. The model extends the two primary treatments of endogeneity in existing bundle choice models: (1) endogenous market-level prices and (2) time-invariant unobserved individual heterogeneity. A Bayesian sparse factor approach is employed to capture high-dimensional error correlations that induce taste correlation and endogeneity. Time-varying factor loadings allow for more general individual-level and time-varying heterogeneity and endogeneity, while the sparsity induced by the shrinkage prior on loadings balances flexibility with parsimony. Applied to a soda tax in the context of complementarities, the new approach captures broader effects of the tax that were previously overlooked. Results suggest that a soda tax could yield additional health benefits by marginally decreasing the consumption of salty snacks along with sugary drinks, extending the health benefits beyond the reduction in sugar consumption alone.