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Handbook of Generalized Convexity and Generalized Monotonicity

Volume 76 of the series Nonconvex Optimization and Its Applications pp 237-292

Generalized Convex Duality and its Economic Applicatons

  • Juan Enrique Martínez-LegazAffiliated withCODE and Departament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona

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Abstract

This article presents an approach to generalized convex duality theory based on Fenchel-Moreau conjugations; in particular, it discusses quasiconvex conjugation and duality in detail. It also describes the related topic of microeconomics duality and analyzes the monotonicity of demand functions.

Keywords

Generalized convex duality quasiconvex optimization demand function utility function