Decision making with monotone lower probabilities of infinite order

Authors
Philippe, F Debs, G Jaffray, JY
Citation
F. Philippe et al., Decision making with monotone lower probabilities of infinite order, MATH OPER R, 24(3), 1999, pp. 767-784
Citations number
38
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF OPERATIONS RESEARCH
ISSN journal
0364765X → ACNP
Volume
24
Issue
3
Year of publication
1999
Pages
767 - 784
Database
ISI
SICI code
0364-765X(199908)24:3<767:DMWMLP>2.0.ZU;2-1
Abstract
Properties of convex and monotone capacities of infinite order in Polish sp aces are studied and used to justify the representation of certain situatio ns of imprecise risk (imprecisely known probabilities) by lower probabiliti es, which are monotone of infinite order. Decision making with imprecise ri sk is then modeled, and linear utility theory is shown to be generalizable to the case of imprecise risk.