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On the Representation of Incomplete Preferences Over Risky Alternatives
Authors:Paola Manzini  Marco Mariotti
Institution:(1) Department of Economics, University of London, Queen Mary, E1 4NS London, UK;(2) Institute for the study of Labour (IZA), D-53072 Bonn, Germany
Abstract:We study preferences over lotteries which do not necessarily satisfy completeness. We provide a characterization which generalizes Expected Utility theory. We show in particular that various sure-thing axioms are needed to guaranteee the representability in terms of utility intervals rather than numbers, and to provide a linear interval order representation which is very much in the spirit of Expected Utility theory.
Keywords:incomplete preference relations  interval orders  partial orders
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