The non-existence of a utility function and the structure of non-representable preference relations

From MaRDI portal
Publication:1611765

DOI10.1016/S0304-4068(02)00003-4zbMath1005.91033OpenAlexW2101310424MaRDI QIDQ1611765

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

Publication date: 28 August 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)00003-4




Related Items (41)

The Debreu Gap Lemma and some generalizationsOn Wold's approach to representation of preferencesINTERVAL-VALUED REPRESENTABILITY OF QUALITATIVE DATA: THE CONTINUOUS CASEUniversal semiordersStrict \((m, 1)\)-Ferrers propertiesOn quasi-orderings and multi-objective functionsOrder embeddings with irrational codomain: Debreu properties of real subsetsRepresentable topologies and locally connected spacesThe pseudo-transitivity of preference relations: strict and weak \((m,n)\)-Ferrers propertiesRepresentations of Preference Relations with Preutility Functions on Metric SpacesCharacterising transitive two-sample testsLexicographic preference representation: intrinsic length of linear orders on infinite setsOrder representability in groups and vector spacesTopology and Preference RelationsThe Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological EnvironmentsOpen Questions in Utility TheoryA Note on Candeal and Induráin’s Semiorder Separability ConditionThe Interplay Between Intergenerational Justice and Mathematical Utility TheoryFunctional equations related to fuzzy sets and representable orderings1On representation of monotone preference orders in a sequence spaceContinuous utility functions through scalesElections generate all binary relations on infinite setsUnit representation of semiorders. II: The general caseDebreu-like properties of utility representationsDefinable linear orders definably embed into lexicographic orders in o-minimal structuresAnticipatory network models of multicriteria decision-making processesRepresentable lexicographic productsCharacterizations of standard elements in posetsEmbedded choicesThe representability number of a chainThe existence of utility functions for weakly continuous preferences on a Banach spaceLexicographic preferences representable by real-branching trees with countable height: a dichotomy result.A genesis of interval orders and semiorders: transitive NaP-preferencesConstructive utility functions on Banach spacesNonstandard utilities for lexicographically decomposable orderingsScott-suppes representability of semiorders: Internal conditionsA survey on the mathematical foundations of axiomatic entropy: representability and orderingsPointwise Debreu lexicographic powersLexicographic decomposition of chains and the concept of a planar chainRepresentability of binary relations through fuzzy numbersTopologies generated by nested collections



Cites Work


This page was built for publication: The non-existence of a utility function and the structure of non-representable preference relations