Smooth feasible solutions to a dual Monge–Kantorovich problem with applications to best approximation and utility theory in mathematical economics

DOI10.1007/978-4-431-92935-2_4zbMath1185.91083OpenAlexW98053452MaRDI QIDQ3400019

Vladimir L. Levin

Publication date: 18 January 2010

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

Full work available at URL: https://doi.org/10.1007/978-4-431-92935-2_4

zbMATH Keywords

preferencerevealed preferenceinterval ordersbest approximation problemdual Monge-Kantorovich problemLipschitz continuous utilitysmooth utilitysmooth-utility-rational choicestrengthened acyclicity assumption

Mathematics Subject Classification ID

Utility theory (91B16) Best approximation, Chebyshev systems (41A50) Individual preferences (91B08) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (2)

On social welfare functionals: representation theorems and equivalence classes ⋮ New axiomatic characterizations of utilitarianism

Cites Work

• Duality and rationality
• Some applications of set-valued mappings in mathematical economics
• Smooth feasible solutions to a dual Monge-Kantorovich problem and their application to the best approximation and mathematical economics problems
• Numerical representation of interval orders on a topological space
• Nontransitive-nontotal consumer theory
• Continuous representation of a preference relation on a connected topological space
• Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem
• Reduced cost functions and their applications
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Representations of preference orderings
• Continuous linear representability of binary relations
• A superlinear multifunction arising in connection with mass transfer problems
• On preference relations that admit smooth utility functions
• Best approximation problems relating to Monge-Kantorovich duality
• THE PROBLEM OF MASS TRANSFER WITH A DISCONTINUOUS COST FUNCTION AND A MASS STATEMENT OF THE DUALITY PROBLEM FOR CONVEX EXTREMAL PROBLEMS
• Smooth Preferences: A Corrigendum
• On the Continuous Representation of Preorders
• On Interpersonal Comparability and Social Welfare Orderings
• On duality theory for non-topological variants of the mass transfer problem
• Continuity Properties of Paretian Utility
• Smooth Preferences
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Smooth feasible solutions to a dual Monge–Kantorovich problem with applications to best approximation and utility theory in mathematical economics