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A generalization of Rader's utility representation theorem

Bosi, Gianni and Zuanon, Magalì (2010): A generalization of Rader's utility representation theorem.

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Rader's utility representation theorem guarantees the existence of an upper semicontinuous utility function for any upper semicontinuous total preorder on a second countable topological space. In this paper we present a generalization of Rader's theorem to not necessarily total preorders that are weakly upper semicontinuous.

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