Generalized Debreu's open gap lemma and continuous representability of biorders
From MaRDI portal
Publication:304177
DOI10.1007/s11083-015-9360-1zbMath1355.06002OpenAlexW828124349WikidataQ124881100 ScholiaQ124881100MaRDI QIDQ304177
Publication date: 24 August 2016
Published in: Order (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11083-015-9360-1
Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16) Generalizations of ordered sets (06A75)
Related Items
Some results on biordered structures, in particular distributed systems ⋮ Semiorders and continuous Scott-Suppes representations. Debreu's open gap lemma with a threshold ⋮ The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments ⋮ Searching for a Debreu’s Open Gap Lemma for Semiorders ⋮ The Interplay Between Intergenerational Justice and Mathematical Utility Theory ⋮ A survey on the mathematical foundations of axiomatic entropy: representability and orderings
Cites Work
- Unnamed Item
- Unnamed Item
- Continuous multi-utility representations of preorders
- Continuous representability of interval orders and biorders
- On realizable biorders and the biorder dimension of a relation
- Continuous semiorder representations
- Interval choice: Classic and general cases
- Debreu's gap theorem
- Representability of interval orders
- Representations of preference orderings
- Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof.
- Numerical representability of semiorders
- Numerical representation of semiorders
- Upper semicontinuous representations of interval orders
- Semiorders and risky choices
- Composite measurement
- Generalized Abel functional equations and numerical representability of semiorders
- Semiorders and a Theory of Utility Discrimination
- Foundational aspects of theories of measurement
- FURTHER RESULTS ON THE CONTINUOUS REPRESENTABILITY OF SEMIORDERS
- Continuous Representability of Interval Orders: The Topological Compatibility Setting
- Existence of a Continuous Utility Function: An Elementary Proof
- Continuous representability of interval orders
- INTERVAL-VALUED REPRESENTABILITY OF QUALITATIVE DATA: THE CONTINUOUS CASE
- Continuity Properties of Paretian Utility
- Continuous representations of interval orders based on induced preorders
