Duality between direct and indirect utility functions under minimal hypotheses

DOI10.1016/0304-4068(91)90009-IzbMath0717.90008MaRDI QIDQ2638903

Juan-Enrique Martinez-Legaz

Publication date: 1991

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

zbMATH Keywords

indirect utility function

Mathematics Subject Classification ID

Utility theory (91B16)

Related Items

Abstract concavity of increasing co-radiant and quasi-concave functions with applications in mathematical economics, Duality between direct and indirect preferences, Revisiting the problem of integrability in utility theory, A geometrical insight on pseudoconvexity and pseudomonotonicity, Diewert-Crouzeix conjugation for general quasiconvex duality and applications, Set-valued evenly convex functions: characterizations and C-conjugacy, Characterization of \(\mathbf R\)-evenly quasiconvex functions, The structure of representative preference, On twice differentiable direct and indirect utility functions and the monotonicity of the demand, Dual and bidual problems for a Lipschitz optimization problem based on quasi-conjugation, Evenly convex sets, and evenly quasiconvex functions, revisited, Variational analysis for the consumer theory, Minimizing the Difference of Dual Functions of Two Coradiant Functions, Unnamed Item, What is quasiconvex analysis?, Continuity properties of the normal cone to the level sets of a quasiconvex function, Analyzing linear systems containing strict inequalities via evenly convex hulls, Characterizations of evenly convex sets and evenly quasiconvex functions, On linear systems containing strict inequalities, Axiomatic characterizations of the duality correspondence in consumer theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Duality between direct and indirect utility functions. Differentiability properties
• Conjugaison par tranches
• Some relations between dualities, polarities, coupling functionals, and conjugations
• Infimal generators and dualities between complete lattices
• Inf-convolution, sous-additivite, convexite des fonctions numériques
• Conjugacy in quasi-convex programming
• Quasiconvex duality theory by generalized conjugation methods
• Approaches to the Theory of Optimization