On the Multi-Utility Representation of Preference Relations

  title={On the Multi-Utility Representation of Preference Relations},
  author={Ozgur Evren},
  • Ozgur Evren
  • Published 2008
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 …nite, 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 …nite, we …nd that the requirements of such representations are surprisingly weak, pointing to the wide… CONTINUE READING
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