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Linear Demand Systems are Consistent with Discrete Choice

Afonso Rodrigues · 2026 · arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.13785 · cited by 0 works (OpenAlex) · open-access PDF

Chinese

聚合的线性需求系统可以由多元化的消费者群体进行分散的选择进行微型化。它们也可以扩展以包含收入效应。我证明了这些结果,并展示了如何通过仅使用市场级数据来结构性地估计这种类型的模型。 消费者偏好的分布通过仅以集合术语来规范角色的解决方案来恢复。 这种方法允许与Bery,Levinsohn, and Pakes (1995)(BLP)相同的财富,同时保持线性需求的分析和计算优势:它不需要异性地固定市场规模,允许选择集中的异性,并导致灵活的替代矩阵,随着不同消费者进入/退出市场而异性地变化。 离散的选择微型基础可促进福利和灵活的测量标记成本通过,在其他广泛的应用

Machine translation (Meta M2M100); the English original follows.

Abstract

Aggregate linear demand systems can be micro-founded by a population of heterogeneous consumers making discrete choices. They can also be extended to incorporate income effects. I prove these results and show how to structurally estimate this class of models using only market-level data. The distribution of consumer preferences is recovered by disciplining the corner solutions with aggregate terms only. This approach allows for the same richness of Berry, Levinsohn, and Pakes (1995) [BLP] while retaining the analytical and computational advantages of linear demand: it does not require exogenously fixing market size, allows for heterogeneity in choice sets, and results in a flexible substitution matrix which varies endogenously as different consumers enter/exit the market. The discrete-choice microfoundation facilitates welfare analysis and the flexible measurement of markups an cost pass-throughs, among a wide range of other applications.

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Topics: Aggregate (composite), Economics, Econometrics, Discrete choice, Class (philosophy), Population

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