Lexicographic decomposition of chains and the concept of a planar chain

DOI10.1016/S0304-4068(02)00010-1zbMath1027.91019OpenAlexW2083597287MaRDI QIDQ1850145

Juan Carlos Candeal, Alan F. Beardon, Ghanshyam B. Mehta, Esteban Induráin, Gerhard Herden

Publication date: 2 December 2002

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

Full work available at URL: https://doi.org/10.1016/s0304-4068(02)00010-1

zbMATH Keywords

planar chainLexicographic decomposition

Mathematics Subject Classification ID

Individual preferences (91B08)

Related Items (9)

On Wold's approach to representation of preferences ⋮ Topology and Preference Relations ⋮ The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments ⋮ The Interplay Between Intergenerational Justice and Mathematical Utility Theory ⋮ Continuous utility functions through scales ⋮ Debreu-like properties of utility representations ⋮ Lexicographic preferences representable by real-branching trees with countable height: a dichotomy result. ⋮ Nonstandard utilities for lexicographically decomposable orderings ⋮ The non-existence of a utility function and the structure of non-representable preference relations

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• Exceptional Paper—Lexicographic Orders, Utilities and Decision Rules: A Survey
• A Characterization of Compact, Separable, Ordered Spaces
• Sur une propriété des ensembles ordonnés

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