Variational analysis for the consumer theory

DOI10.1007/s10957-013-0289-5zbMath1288.91134OpenAlexW2082965539MaRDI QIDQ2442712

Jean-Paul Penot

Publication date: 1 April 2014

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-013-0289-5

zbMATH Keywords

subdifferentialsnormal conesgeneralized derivativedemand correspondenceindirect utility functionRoy's identityinverse utility function

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Programming in abstract spaces (90C48) Consumer behavior, demand theory (91B42) Existence theories for problems in abstract spaces (49J27) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (8)

Revisiting the problem of integrability in utility theory ⋮ Bishop–Phelps cones given by an equation in Banach spaces ⋮ On the stability and solution sensitivity of a consumer problem ⋮ Strong and total duality for constrained composed optimization via a coupling conjugation scheme ⋮ Evenly convex sets, and evenly quasiconvex functions, revisited ⋮ New duality results for evenly convex optimization problems ⋮ \(e^{\prime }\)-convex sets and functions: properties and characterizations ⋮ Lagrange duality for evenly convex optimization problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Duality between direct and indirect utility functions. Differentiability properties
• Lower subdifferentiable functions and their minimization by cutting planes
• Nonsmooth analysis
• Convex analysis and nonlinear optimization. Theory and examples
• Continuity properties of the normal cone to the level sets of a quasiconvex function
• Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization
• Techniques of variational analysis
• Inf-convolution, sous-additivite, convexite des fonctions numériques
• Duality between direct and indirect utility functions under minimal hypotheses
• Mathematical Optimization and Economic Theory
• Calculus Without Derivatives
• On regularity conditions in mathematical programming
• Variational Analysis
• La convexité généralisée en économie mathématique
• What is quasiconvex analysis?
• Unilateral Analysis and Duality
• Adjusted Sublevel Sets, Normal Operator, and Quasi-convex Programming
• Normal characterization of the main classes of quasiconvex functions

This page was built for publication: Variational analysis for the consumer theory