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

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.

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Year of publication:	2017-05-22
Authors:	McCarthy, David ; Mikkola, Kalle ; Thomas, Teruji

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Type of publication:	Book / Working Paper
Language:	English
Notes:	McCarthy, David and Mikkola, Kalle and Thomas, Teruji (2017): Representation of strongly independent preorders by sets of scalar-valued functions.
Classification:	D11 - Consumer Economics: Theory ; D81 - Criteria for Decision-Making under Risk and Uncertainty
Source:	BASE

Persistent link: https://www.econbiz.de/10015256142