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Rank, separability, and conditional demands

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  • Arthur Lewbel

Abstract

RankR demand systems that are either conditioned on some good (such as durables) or are separable from that good, are shown to be identical to unconditional demand systems having rank R or R+ 1. More generally, the rank of a conditional demand system or a separable subsystem is a lower bound on the rank of the corresponding demand system over all goods. This relationship is applied to reinterpret some existing empirical results regarding rank, conditioning goods, and separability. Rang, séparabilité et demandes conditionnelles. On montre que des systèmes de demande de rang R qui sont conditionnés par rapport à un bien (des biens durables par exemple) ou sont séparables de ce bien sont identiques aux systèmes de demande inconditionnels de rang R ou R+ 1. Plus généralement, le rang d’un système de demande conditionnel ou d’un sous‐système séparable est une limite inférieure au rang du système de demande correspondant pour tous les biens. Cette relation est utilisée pour ré‐interpréter quelques résultats empiriques pour ce qui est du rang, des biens conditionnants et la séparabilité.

Suggested Citation

  • Arthur Lewbel, 2002. "Rank, separability, and conditional demands," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 35(2), pages 410-413, May.
    • Handle: RePEc:wly:canjec:v:35:y:2002:i:2:p:410-413
    DOI: 10.1111/1540-5982.00137
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    Cited by:

    1. Alexei Deviatov, 2019. "Estimating à Cagan-type Demand Function for Gold: 1561-1913," Russian Journal of Money and Finance, Bank of Russia, vol. 78(3), pages 122-136, September.

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