Richter–Peleg multi-utility representations of preorders

Theory and Decision 80 (3):443-450 (2016)
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Abstract

The existence of a Richter–Peleg multi-utility representation of a preorder by means of upper semicontinuous or continuous functions is discussed in connection with the existence of a Richter–Peleg utility representation. We give several applications that include the analysis of countable Richter–Peleg multi-utility representations.

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