Decision Making with Monotone Lower Probabilities of Infinite Order

Decision Making with Monotone Lower Probabilities of Infinite Order

Properties of convex and monotone capacities of infinite order in Polish spaces are studied and used to justify the representation of certain situations of imprecise risk (imprecisely known probabilities) by lower probabilities, which are monotone of infinite order. Decision making with imprecise ri...

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Veröffentlicht in:Mathematics of Operations Research. - Institute for Operations Research and the Management Sciences. - 24(1999), 3, Seite 767-784
1. Verfasser: Philippe, Fabrice (VerfasserIn)
Weitere Verfasser: Debs, Gabriel, Jaffray, Jean-Yves
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1999
Zugriff auf das übergeordnete Werk:Mathematics of Operations Research
Schlagworte:Upper/lower probability Capacity Utility theory Decision theory Mathematics Economics
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520 |a Properties of convex and monotone capacities of infinite order in Polish spaces are studied and used to justify the representation of certain situations of imprecise risk (imprecisely known probabilities) by lower probabilities, which are monotone of infinite order. Decision making with imprecise risk is then modeled, and linear utility theory is shown to be generalizable to the case of imprecise risk. 
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