TY  - JOUR
AB  - A non-Archimedean utility representation theorem for independent and transitive preference orderings that are partially continuous on some convex subset and satisfy an axiom of incommensurable preference for elements outside that subset is proven. For complete preference orderings, the theorem is deduced directly from the classical von Neumann-Morgenstern theorem; in the absence of completeness, Aumann's [Aumann, R.J., 1962. Utility theory without the completeness axiom. Econometrica 30 (3), 445-462] generalization is utilized. (C) 2009 Elsevier B.V. All rights reserved.
DA  - 2009
DO  - 10.1016/j.mathsocsci.2008.12.009
KW  - Discontinuous preferences
KW  - von Neumann-Morgenstern utility
KW  - Ordered
KW  - vector space
KW  - Hyperreals
KW  - Non-Archimedean field
LA  - eng
IS  - 1
M2  - 8
PY  - 2009
SN  - 0165-4896
SP  - 8-14
T2  - MATHEMATICAL SOCIAL SCIENCES
TI  - Elementary non-Archimedean utility theory
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-16336530
Y2  - 2024-11-22T02:26:51
ER  -