Some lifting theorems for continuous utility functions

DOI10.1016/0165-4896(89)90042-5zbMath0676.90004OpenAlexW2006588931MaRDI QIDQ1123104

Gerhard Herden

Publication date: 1989

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-4896(89)90042-5

zbMATH Keywords

extension problemnumerical taxonomycontinuous utility functionsArrow-Hahn-theorempreordered topological spaces

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16)

Related Items (6)

Representing preferences with nontransitive indifference by a single real-valued function ⋮ Continuous representability of homothetic preorders by means of sublinear order-preserving functions ⋮ Some utility theorems on inductive limits of preordered topological spaces ⋮ Continuous multi-utility representations of preorders ⋮ On a lifting theorem of Nachbin ⋮ Extension of Monotonic Functions and Representation of Preferences

Cites Work

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• On the existence of utility functions. II
• On the existence of utility functions
• Spaces of economic agents
• Weighted approximation over topological spaces and the Bernstein problem over finite dimensional vector spaces
• Existence of an order-preserving function on normally preordered spaces
• Continuity Properties of Paretian Utility
• Numerical Representation of Utility
• Utility Functions for Partially Ordered Topological Spaces

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