Quasi -linear integrability

• 成果类型: Article
• 署名作者: Nocke, Volker; Schutz, Nicolas
• 署名单位: University of California System; University of California Los Angeles; University of Mannheim
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2017.03.006
• 发表日期: 2017
• 页码: 603-628
• 关键词: Integrability; Quasi-linear preferences; Duality

摘要

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 integrating the vector field defined by the demand system and on duality, we provide necessary and sufficient conditions for the quasi-linear integrability of such (continuous) demand systems. We also derive results on the associated utility function and its domain, and provide an application to the analysis of demand systems in the presence of measurement errors. (C) 2017 Elsevier Inc. All rights reserved.