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.Author Profiles
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Citations of this work
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Continuity and completeness of strongly independent preorders.David McCarthy & Kalle Mikkola - 2018 - Mathematical Social Sciences 93:141-145.
Aggregation for potentially infinite populations without continuity or completeness.David McCarthy, Kalle M. Mikkola & J. Teruji Thomas - 2019 - arXiv:1911.00872 [Econ.TH].
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On the Representation of Incomplete Preferences Over Risky Alternatives.Paola Manzini & Marco Mariotti - 2008 - Theory and Decision 65 (4):303-323.
