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.
AU - Herzberg, Frederik
ID - 1633653
IS - 1
JF - MATHEMATICAL SOCIAL SCIENCES
KW - Discontinuous preferences
KW - von Neumann-Morgenstern utility
KW - Ordered
KW - vector space
KW - Hyperreals
KW - Non-Archimedean field
SN - 0165-4896
TI - Elementary non-Archimedean utility theory
VL - 58
ER -