Canonical representation of set-functions

Canonical representation of set-functions

0.00 Avg rating0 Votes
Article ID: iaor20032942
Country: United States
Volume: 20
Issue: 1
Start Page Number: 197
End Page Number: 212
Publication Date: Feb 1995
Journal: Mathematics of Operations Research
Authors: ,
Abstract:

The representation of a cooperative transferable utility game as a linear combination of unanimity games may be viewed as an isomorphism between not-necessarily additive set functions on the players space and additive ones on the coalitions space. (Or, alternatively, between nonadditive probability measures on a state space and additive ones on the space of events.) We extend the unanimity-basis representation to general (infinite) spaces of players, study spaces of games which satisfy certain properties and provide some conditions for sigma-additivity of the resulting additive set function (on the space of coalitions). These results also allow us to extend some representations of the Choquet integral from finite to infinite spaces.

Reviews

Required fields are marked *. Your email address will not be published.