Nonlinear prices in nonconvex economies with classical Pareto and strong Pareto optimal allocations

DOI10.1007/s11117-004-8076-zzbMath1137.49306OpenAlexW2095077503MaRDI QIDQ850572

Boris S. Mordukhovich

Publication date: 3 November 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-004-8076-z

zbMATH Keywords

variational analysisgeneralized differentiationwelfare economicsprice equilibriumPareto and strong Pareto optimality

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) General equilibrium theory (91B50)

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Core equivalences for equilibria supported by non-linear prices ⋮ Multiobjective fractional variational calculus in terms of a combined Caputo derivative ⋮ Pareto optimal allocations and dynamic programming ⋮ A quasi-variational approach to a competitive economic equilibrium problem without strong monotonicity assumption

Cites Work

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• Positive operators on Krein spaces
• Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex 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
• Nonsmooth characterizations of Asplund spaces and smooth variational principles
• A nonconvex separation property in Banach spaces
• Sequential normal compactness versus topological normal compactness in variational analysis.
• Non-marketed options, non-existence of equilibria, and nonlinear prices.
• An abstract extremal principle with applications to welfare economics
• Linear and nonlinear price decentralization
• Nonconvex separation theorem for multifunctions, subdifferential calculus and applications
• Techniques of variational analysis
• A nonconvex separation property and some applications
• The Price Equilibrium Existence Problem in Topological Vector Lattices
• Nonsmooth sequential analysis in Asplund spaces
• The Coefficient of Resource Utilization
• A theory of value with nonlinear prices. Equilibrium analysis beyond vector lattices
• Pareto optimiality in nonconvex economies with infinite-dimensional commodity spaces.