Rader’s utility representation theorem guarantees the existence of an upper semicontinuous utility function u for any upper semicontinuous total preorder on a second countable topological space (X, t). In this paper we present a generalization of Rader’s theorem to not necessarily total preorders that are weakly upper semicontinuous.
A generalization of Rader's utility representation theorem
BOSI, GIANNI;
2010-01-01
Abstract
Rader’s utility representation theorem guarantees the existence of an upper semicontinuous utility function u for any upper semicontinuous total preorder on a second countable topological space (X, t). In this paper we present a generalization of Rader’s theorem to not necessarily total preorders that are weakly upper semicontinuous.File in questo prodotto:
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