Quasi-Linear Integrability
22 Pages Posted: 1 Jun 2016
Date Written: May 2016
Abstract
Applied researchers often work with demand systems that do not depend on income, with the implicit assumption that preferences are quasi-linear and income sufficiently large. The classic approach to the integrability of demand does not readily apply in this case. Adopting a much simpler approach that is based on Poincarés Lemma and duality, we provide necessary and sufficient conditions for the quasi-linear integrability of such demand systems. We also derive results on the associated utility function and its domain.
Keywords: duality, integrability, quasi-linear demand
JEL Classification: D11
Suggested Citation: Suggested Citation
Nocke, Volker and Schutz, Nicolas, Quasi-Linear Integrability (May 2016). CEPR Discussion Paper No. DP11293, Available at SSRN: https://ssrn.com/abstract=2786895
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