Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness
From MaRDI portal
Publication:5132602
DOI10.1007/978-3-030-34226-5_11zbMath1452.91140OpenAlexW3001379050MaRDI QIDQ5132602
Publication date: 12 November 2020
Published in: Mathematical Topics on Representations of Ordered Structures and Utility Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-34226-5_11
Utility theory (91B16) Individual preferences (91B08) Ordered sets (06A99) Generalities in topology (54A99)
Related Items
The continuity postulate in economic theory: a deconstruction and an integration ⋮ Continuous order-preserving functions for all kind of preorders ⋮ A simple characterization of useful topologies in mathematical utility theory ⋮ Binary Relations in Mathematical Economics: On Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot ⋮ Topologies for the continuous representability of all continuous total preorders
Cites Work
- Richter-Peleg multi-utility representations of preorders
- Utility representation of an incomplete and nontransitive preference relation
- Continuous utility functions
- Essential supremum and essential maximum with respect to random preference relations
- Continuous multi-utility representations of preorders
- On the existence of utility functions. II
- Utility representation of an incomplete preference relation
- On quasi-orderings and multi-objective functions
- On a possible continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
- On the existence of expected multi-utility representations
- Continuous utility functions through scales
- Utility representation of lower separable preferences
- Preorderable topologies and order-representability of topological spaces
- Some general theorems on the existence of order-preserving functions
- On the existence of utility functions
- Topological spaces for which every continuous total preorder can be represented by a continuous utility function
- Utility functions and the order type of the continuum
- Expected utility theory without the completeness axiom.
- Expected multi-utility representations
- Representations of preference orderings
- Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof.
- On the continuous analogue of the Szpilrajn theorem. I
- The Debreu Gap Lemma and some generalizations
- Normally preordered spaces and utilities
- Topologies for semicontinuous Richter-Peleg multi-utilities
- Existence of order-preserving functions for nontotal fuzzy preference relations under decisiveness
- A strict expected multi-utility theorem
- The structure of useful topologies
- Multiperson utility
- On the multi-utility representation of preference relations
- On continuity of incomplete preferences
- On a strong continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
- On continuous multi-utility representations of semi-closed and closed preorders
- SZPILRAJN, ARROW AND SUZUMURA: CONCISE PROOFS OF EXTENSION THEOREMS AND AN EXTENSION
- Existence of an order-preserving function on normally preordered spaces
- A New Extension Procedure for the Arrow-Hahn Theorem
- On separation axioms for certain types of ordered topological space
- Topological Ordered Spaces and Utility Functions
- The Utility Theorems of Wold, Debreu, and Arrow-Hahn
- Useful topologies and separable systems
- Partial Representations of Orderings
- Topological conditions for the representation of preorders by continuous utilities
- Continuity Properties of Paretian Utility
- Revealed Preference Theory
- Utility Functions for Partially Ordered Topological Spaces
- A Condition for the Completeness of Partial Preference Relations
- Separating Chains in Topological Spaces
- Utility Theory without the Completeness Axiom
- Ordered Topological Spaces
- Partially Ordered Topological Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item