Abstract
The representation of a cooperative transferable utility game as a linear combination of unanimity games may be viewed as an isomorphism between no-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 α-additivity of the resulting additive set function (on the space at coalitions). These results also allow us to extend some representations of the Choquet integral from finite to infinite spaces.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
