Utility functions on ordered convex sets

DOI10.1016/0304-4068(83)90040-XzbMath0529.90005OpenAlexW2043466752MaRDI QIDQ787830

Peter C. Fishburn

Publication date: 1983

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4068(83)90040-x

zbMATH Keywords

order isomorphismcontinuous and totally convex order relationcountable boundednesscountable order-densenessorder homomorphismsubset of the realsweakly ordered convex set

Mathematics Subject Classification ID

Utility theory (91B16) Individual preferences (91B08) Total orders (06A05)

Related Items

Decision making with incomplete information, Order preserving functions on ordered topological vector spaces, A utility representation theorem with weaker continuity condition, Some results on the existence of utility functions on path connected spaces, Infinite-dimensional utility representation theorems, Utility functions on chains, A note on linear utility, Totally convex preferences for gambles.

Cites Work

• Transitive measurable utility
• Nontransitive measurable utility
• A theorem on n-tuples which is equivalent to the well-ordering theorem
• "Expected Utility" Analysis without the Independence Axiom
• Continuity Properties of Paretian Utility
• An Axiomatic Approach to Measurable Utility
• Le Comportement de l'Homme Rationnel devant le Risque: Critique des Postulats et Axiomes de l'Ecole Americaine
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