TY - JOUR
T1 - Continuous representation of Von Neumann-Morgenstern preferences
AU - Miyake, Mitsunobu
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1990
Y1 - 1990
N2 - This paper considers a continuous representation of preference relations satisfying Grandmont's (1972) Expected Utility Hypothesis. We equip the preferences with the topology of closed convergence, then we show the existence of a jointly continuous expected utility function and consider its uniqueness. Furthermore, we construct an embedding map of the preferences into the set of expected utility functions.
AB - This paper considers a continuous representation of preference relations satisfying Grandmont's (1972) Expected Utility Hypothesis. We equip the preferences with the topology of closed convergence, then we show the existence of a jointly continuous expected utility function and consider its uniqueness. Furthermore, we construct an embedding map of the preferences into the set of expected utility functions.
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U2 - 10.1016/0304-4068(90)90024-4
DO - 10.1016/0304-4068(90)90024-4
M3 - Article
AN - SCOPUS:0013542609
VL - 19
SP - 323
EP - 340
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
SN - 0304-4068
IS - 4
ER -