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Preferences Representable by a Lower Expectation: Some Characterizations
Authors:Andrea Capotorti  Giulianella Coletti  Barbara Vantaggi
Affiliation:(1) Dip. Matematica e Informatica, Università di Perugia, via Vanvitelli, 06123 Perugia, Italy;(2) Dip. Metodi e Modelli Matematici, Università “La Sapienza” Rome, via Scarpa 16, 00161 Rome, Italy
Abstract:We propose two different characterizations for preference relations representable by lower (upper) expectations with the aim of removing either fair price or completeness requirements. Moreover, we give an explicit characterization for comparative degrees of belief on a finite algebra of events representable by lower probabilities.
Keywords:lower expectation  preference representation  comparative lower probability  fair price  uncertainty aversion  local continuity
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