Topological Ordered Spaces and Utility Functions
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Publication:4140630
DOI10.2307/2525961zbMath0365.90015OpenAlexW2081468467MaRDI QIDQ4140630
Publication date: 1977
Published in: International Economic Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2525961
Partial orders, general (06A06) Utility theory (91B16) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)
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Representing preferences with nontransitive indifference by a single real-valued function ⋮ Canonical utility functions and continuous preference extensions ⋮ On some equivalent approaches to mathematical utility theory ⋮ On the existence of utility functions ⋮ Order-separable spaces ⋮ On the measurable utility theorem ⋮ Time functions as utilities ⋮ The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments ⋮ Strictly Monotonic Preferences ⋮ Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness ⋮ Subjective States Without the Completeness Axiom ⋮ Preference for Flexibility: A Continuous Representation in an Ordinal Setup ⋮ The Arrow-Hahn Construction in a Locally Compact Metric Space ⋮ On a lifting theorem of Nachbin ⋮ On the existence of utility functions. II ⋮ Open gaps, metrization and utility ⋮ Representing preorders with injective monotones ⋮ Extension of Monotonic Functions and Representation of Preferences
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