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Representation of strongly independent preorders by sets of scalar-valued functions

David McCarthy, Kalle Mikkola and Teruji Thomas

MPRA Paper from University Library of Munich, Germany

Abstract: We provide conditions under which an incomplete strongly independent preorder on a convex set X can be represented by a set of mixture preserving real-valued functions. We allow X to be infinite dimensional. The main continuity condition we focus on is mixture continuity. This is sufficient for such a representation provided X has countable dimension or satisfies a condition that we call Polarization.

Keywords: Expected; utility; Multi-representation; Incompleteness; Mixture; continuity (search for similar items in EconPapers)
JEL-codes: D11 D81 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-upt
Date: 2017-05-22
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