Dynamically Consistent Conditional Choquet Capacities
Robert Kast () and
André Lapied ()
ICER Working Papers - Applied Mathematics Series from ICER - International Centre for Economic Research
Abstract:
Preferences of a Decision Maker define a valuation function on future uncertain payoffs. Consistency of this unconditional valuation function with valuation conditional on information arrivals is justified by a no Money Pump argument. A result on the updating of capacities is obtained in a static framework. Then the arguments are developed in a model where the future payoffs are contingents on two components: uncertain states and future dates. We obtain results on updating capacities on the uncertain states and “upstating” capacities (discount factors) on future dates in a special case. These results are shown to violate consequentialism.
Keywords: Comonotonicity; Capacities on product spaces; Updating; Flexibilities (search for similar items in EconPapers)
JEL-codes: D81 D83 D92 G31 (search for similar items in EconPapers)
Pages: 34 pages
Date: 2007-03
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:icr:wpmath:20-2007
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