Archimedeaness and additive utility on totally ordered semigroups

DOI10.1007/BF02574109zbMath0847.06006OpenAlexW1981799441MaRDI QIDQ1914082

Juan Carlos Candeal, Esteban Induráin, Juan Ramón De Miguel

Publication date: 21 July 1996

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135459

zbMATH Keywords

partitionpositive coneArchimedean semigroupstotally ordered Abelian groupstotally ordered semigroupsadditive utility functions

Mathematics Subject Classification ID

Utility theory (91B16) Ordered semigroups and monoids (06F05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

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Entropy of chemical processes versus numerical representability of orderings, Isotonies on ordered cones through the concept of a decreasing scale, Topological additively representable semigroups, Biased extensive measurement: the general case, Order representability in groups and vector spaces, Open Questions in Utility Theory, Homothetic interval orders, A survey on the mathematical foundations of axiomatic entropy: representability and orderings, Weak extensive measurement without translation-invariance axioms., Generalized homothetic biorders

Cites Work

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• Measurement Scales on the Continuum
• Existence of a Continuous Utility Function: An Elementary Proof
• Continuity Properties of Paretian Utility
• Ordered Topological Spaces
• On Ordered Groups
• Measurement Theory