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Incomplete preferences on conditional random quantities: Representability by conditional previsions

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  • Vantaggi, Barbara

Abstract

We study "partial" preference relations, defined on an arbitrary set of conditional bounded random quantities: we provide a condition of rationality (interpretable in terms of betting scheme) characterizing preference relations representable by a conditional expectation. Moreover, we study the problem of extending a rational preference relation.

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  • Vantaggi, Barbara, 2010. "Incomplete preferences on conditional random quantities: Representability by conditional previsions," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 104-112, September.
    • Handle: RePEc:eee:matsoc:v:60:y:2010:i:2:p:104-112
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    References listed on IDEAS

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    1. Patrizia Berti & Eugenio Regazzini & Pietro Rigo, 2001. "Strong previsions of random elements," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 11-28, January.
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    1. Giulianella Coletti & Davide Petturiti & Barbara Vantaggi, 2019. "Dutch book rationality conditions for conditional preferences under ambiguity," Annals of Operations Research, Springer, vol. 279(1), pages 115-150, August.

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