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Title: Integrability and Generalized Separability

Author(s): Thibault Fally

Publication Date: January 2018

Keyword(s): integrability, non-homothetic preferences, Recoverability, Separable demand and Single aggregator

Programme Area(s): International Trade and Regional Economics

Abstract: 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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Bibliographic Reference

Fally, T. 2018. 'Integrability and Generalized Separability'. London, Centre for Economic Policy Research. https://cepr.org/active/publications/discussion_papers/dp.php?dpno=12667