On the existence of utility functions. II

DOI10.1016/0165-4896(89)90041-3zbMath0692.90006OpenAlexW2050262615MaRDI QIDQ584044

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)90041-3

zbMATH Keywords

utility representationseparable systemlinear preorderpreordered topological space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16) Topological lattices (06B30) Ordered topological structures (06F30)

Related Items

Utility functions and the order type of the continuum, Isotonies on ordered cones through the concept of a decreasing scale, The continuous analogue and generalization of the classical Birkhoff-Milgram theorem, On some equivalent approaches to mathematical utility theory, Some lifting theorems for continuous utility functions, The Continuous Representation Property in Utility Theory, A simple characterization of useful topologies in mathematical utility theory, The structure of useful topologies, Some utility theorems on inductive limits of preordered topological spaces, Continuous multi-utility representations of preorders, 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, Continuous utility functions through scales, Topological spaces for which every continuous total preorder can be represented by a continuous utility function, Binary Relations in Mathematical Economics: On Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot, Utility representations from the concept of measure, Utility Functions on Partially Ordered Topological Groups, On a lifting theorem of Nachbin, Topologies for the continuous representability of all continuous total preorders, Open gaps, metrization and utility, On the continuous analogue of the Szpilrajn theorem. I

Cites Work

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