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

MPRA Paper No. 79284 (2017)
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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 infi nite dimensional. The main continuity condition we focus on is mixture continuity. This is sufficient for such a representation provided X has countable dimension or satisfi es a condition that we call Polarization.
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First archival date: 2017-08-21
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Theory of Games and Economic Behavior.von Neumann, John & Morgenstern, Oskar
Utilitarianism with and Without Expected Utility.McCarthy, David; Mikkola, Kalle & Thomas, Teruji
Indecisiveness Aversion and Preference for Commitment.Danan, Eric; Guerdjikova, Ani & Zimper, Alexander

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Citations of this work BETA
Utilitarianism with and Without Expected Utility.McCarthy, David; Mikkola, Kalle & Thomas, Teruji

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