Discussion paper

DP11293 Quasi-Linear Integrability

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 Poincaré's 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.


Nocke, V and N Schutz (2016), ‘DP11293 Quasi-Linear Integrability‘, CEPR Discussion Paper No. 11293. CEPR Press, Paris & London. https://cepr.org/publications/dp11293