An abstract extremal principle with applications to welfare economics

DOI10.1006/jmaa.2000.7041zbMath1016.91078OpenAlexW2074772521MaRDI QIDQ1589956

Boris S. Mordukhovich

Publication date: 5 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7041

zbMATH Keywords

Pareto optimalitywelfare economicsnormal cones and subdifferentialsprenormal and normal structures

Mathematics Subject Classification ID

Management decision making, including multiple objectives (90B50) Special types of economic markets (including Cournot, Bertrand) (91B54) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

Related Items (16)

Unified approach to some geometric results in variational analysis ⋮ Metric Subregularity of Multifunctions: First and Second Order Infinitesimal Characterizations ⋮ Nonlinear prices in nonconvex economies with classical Pareto and strong Pareto optimal allocations ⋮ Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex economies ⋮ Lagrange multipliers theorem and saddle point optimality criteria in mathematical programming ⋮ A second welfare theorem in a non-convex economy: the case of antichain-convexity ⋮ Calculus of sequential normal compactness in variational analysis. ⋮ Sequential normal compactness versus topological normal compactness in variational analysis. ⋮ On economic efficiency under non-convexity ⋮ On the fuzzy intersection rule ⋮ On a separation principle for nonconvex sets ⋮ Localizing vector optimization problems with application to welfare economics ⋮ Variational analysis and mathematical economics 1: Subdifferential calculus and the second theorem of welfare economics ⋮ On Pareto dominance in decomposably antichain-convex sets ⋮ Painlevé-Kuratowski convergences of the solution sets for vector optimization problems with free disposal sets ⋮ Characterizations of the Free Disposal Condition for Nonconvex Economies on Infinite Dimensional Commodity Spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive operators on Krein spaces
• Convex functions, monotone operators and differentiability.
• Valuation equilibrium and Pareto optimum in non-convex economies
• Ioffe's normal cone and the foundations of welfare economics: The infinite dimensional theory
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• The equivalence of several basic theorems for subdifferentials
• On the equivalence of some basic principles in variational analysis
• Fuzzy principles and characterization of trustworthiness
• A nonconvex separation property in Banach spaces
• Generalized differential calculus for nonsmooth and set-valued mappings
• A nonconvex separation property and some applications
• Nonconvex differential calculus for infinite-dimensional multifunctions
• Approximate subdifferentials and applications 3: the metric theory
• Prices and Pareto optima
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Pareto Optimality in Non-Convex Economies
• Variational Analysis
• Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity
• Tangential approximations
• Extremal characterizations of asplund spaces
• Nonsmooth sequential analysis in Asplund spaces

This page was built for publication: An abstract extremal principle with applications to welfare economics