On the multi-utility representation of preference relations

Ozgur Evren and Efe Ok

Journal of Mathematical Economics, 2011, vol. 47, issue 4-5, 554-563

Abstract: We develop the ordinal theory of (semi)continuous multi-utility representation for incomplete preference relations. We investigate the cases in which the representing sets of utility functions are either arbitrary or finite, and those cases in which the maps contained in these sets are required to be (semi)continuous. With the exception of the case where the representing set is required to be finite, we find that the requirements of such representations are surprisingly weak, pointing to a wide range of applicability of the representation theorems reported here. Some applications to decision theory under uncertainty and consumer theory are also considered.

Keywords: Incomplete preferences; Utility representation; Ordinal; Multi-objective optimization (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (97)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:47:y:2011:i:4:p:554-563

DOI: 10.1016/j.jmateco.2011.07.003

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