NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH
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Integrability and Generalized Separability

Thibault Fally

NBER Working Paper No. 25025
Issued in September 2018
NBER Program(s):Development Economics, Industrial Organization, International Trade and Investment

This paper examines demand systems where the demand for a good depends only on its own price, consumer income, and a single aggregator synthesizing information on all other prices. This generalizes directly-separable preferences where the Lagrange multiplier provides such an aggregator. As indicated by Gorman (1972), symmetry of the Slutsky substitution terms implies that such demand can take only one of two simple forms. Conversely, here we show that only weak conditions ensure that such demand systems are integrable, i.e. can be derived from the maximization of a well-behaved utility function. This paper further studies useful properties and applications of these demand systems.

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Document Object Identifier (DOI): 10.3386/w25025

 
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