2018.

abstract bibtex

abstract bibtex

We consider decisions on generalized Anscombe-Aumann acts, mapping states of the world to belief functions over a set of consequences. Preference rela- tions on these acts are given by a decision maker under different scenarios (conditioning events). Then, we provide a system of axioms which are neces- sary and sufficient for the representability of these “conditional preferences” through a conditional functional CEUP,u, parametrized by a unique full con- ditional probability P on the algebra of events and a cardinal utility function u on consequences. The model is able to manage also “unexpected” (i.e., “null”) conditioning events. We finally provide an elicitation procedure that reduces to a Quadratically Constrained Linear Problem (QCLP)

@conference{ 11391_1434728, author = {Coletti, Giulianella and Petturiti, Davide and Vantaggi, Barbara}, title = {Decisions on generalized Anscombe-Aumann acts under possibly “unexpected” scenarios}, year = {2018}, publisher = {MatfyzPress, Publishing House of the Faculty of Mathematics and Physics Charles University Sokolovská 83, 186 75 Praha 8, Czech Republic}, booktitle = {Proceedings of 11-th WUPES}, abstract = {We consider decisions on generalized Anscombe-Aumann acts, mapping states of the world to belief functions over a set of consequences. Preference rela- tions on these acts are given by a decision maker under different scenarios (conditioning events). Then, we provide a system of axioms which are neces- sary and sufficient for the representability of these “conditional preferences” through a conditional functional CEUP,u, parametrized by a unique full con- ditional probability P on the algebra of events and a cardinal utility function u on consequences. The model is able to manage also “unexpected” (i.e., “null”) conditioning events. We finally provide an elicitation procedure that reduces to a Quadratically Constrained Linear Problem (QCLP)}, pages = {49--60} }

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