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 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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2017-08-21
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2017-08-21
Total views
103 ( #37,723 of 56,111 )
Recent downloads (6 months)
24 ( #31,154 of 56,111 )
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