Utility representation theorems for Debreu separable preorders

DOI10.1016/J.JMATECO.2012.02.005zbMath1244.91035OpenAlexW2095224692MaRDI QIDQ443754

Gerhard Herden, Vladimir L. Levin

Publication date: 13 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmateco.2012.02.005

zbMATH Keywords

utility functiontopological spacecontinuous preorderdebreu separabilityopen decreasing setseparable systemweak debreu separability

Mathematics Subject Classification ID

Utility theory (91B16)

Related Items (7)

A simple characterization of the existence of upper semicontinuous order-preserving functions ⋮ Necessary and possible preference structures ⋮ Upper semicontinuous representations of interval orders ⋮ A utility representation theorem for general revealed preference ⋮ Existence of order-preserving functions for nontotal fuzzy preference relations under decisiveness ⋮ A genesis of interval orders and semiorders: transitive NaP-preferences ⋮ Representing preorders with injective monotones

Cites Work

• On a possible continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
• On the existence of utility functions
• An equilibrium existence theorem without complete of transitive preferences
• Representations of preference orderings
• On the continuous analogue of the Szpilrajn theorem. I
• Characterization of the existence of semicontinuous weak utilities
• Objective and Subjective Rationality in a Multiple Prior Model
• Continuity Properties of Paretian Utility
• Utility Functions for Partially Ordered Topological Spaces
• A Condition for the Completeness of Partial Preference Relations
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