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. (C) 2010 Elsevier B.V. All rights reserved.
Incomplete preferences on conditional random quantities: Representability by conditional previsions / Vantaggi, Barbara. - In: MATHEMATICAL SOCIAL SCIENCES. - ISSN 0165-4896. - STAMPA. - 60:2(2010), pp. 104-112. [10.1016/j.mathsocsci.2010.06.002]
Incomplete preferences on conditional random quantities: Representability by conditional previsions
VANTAGGI, Barbara
2010
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. (C) 2010 Elsevier B.V. All rights reserved.File allegati a questo prodotto
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