We deal with a Savage-like decision problem under uncertainty where, for every state of the world, the consequence of each decision (multi-act) is generally uncertain: the decision maker only knows the set of possible alternatives where it can range (multi-consequence). A Choquet expected utility representation theorem for a preference relation on multi-acts is provided, relying on a state-independent cardinal utility function defined on the (finite) set of all alternatives.
A savage-like representation theorem for preferences on multi-acts / Coletti, G.; Petturiti, D.; Vantaggi, B.. - (2017), pp. 127-134. - ADVANCES IN INTELLIGENT SYSTEMS AND COMPUTING. [10.1007/978-3-319-42972-4_16].
A savage-like representation theorem for preferences on multi-acts
Vantaggi B.
2017
Abstract
We deal with a Savage-like decision problem under uncertainty where, for every state of the world, the consequence of each decision (multi-act) is generally uncertain: the decision maker only knows the set of possible alternatives where it can range (multi-consequence). A Choquet expected utility representation theorem for a preference relation on multi-acts is provided, relying on a state-independent cardinal utility function defined on the (finite) set of all alternatives.File | Dimensione | Formato | |
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