Representation of strongly independent preorders by sets of scalar-valued functions
MPRA Paper No. 79284 (2017)
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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References found in this work BETA
Reasoning About Uncertainty.Halpern, Joseph Y.
Indecisiveness Aversion and Preference for Commitment.Danan, Eric; Guerdjikova, Ani & Zimper, Alexander
On the Representation of Incomplete Preferences Over Risky Alternatives.Manzini, Paola & Mariotti, Marco
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2017-08-21
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2017-08-21
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77 ( #37,087 of 50,429 )
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20 ( #28,453 of 50,429 )
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