DP11293 | Quasi-Linear Integrability

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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.