%0 Journal Article
%T Canonical Representation of Set Functions
%+ Kellogg School of Management
%+ Tel Aviv University (TAU)
%+ Ohio State University [Columbus] (OSU)
%A Gilboa, Itzhak
%A Schmeidler, David
%< avec comité de lecture
%@ 1432-2994
%J Mathematical Methods of Operations Research
%I Springer Verlag
%V Vol.20, n°1
%P pp.197-212
%8 1995-02
%D 1995
%R 10.1287/moor.20.1.197
%K cooperative game
%K unanimity game
%K nonadditive measure
%K Choquet integral
%Z Humanities and Social Sciences/Economics and Finance/domain_shs.eco.ecoJournal articles
%X 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. We extend the unanimity-basis representation to general (infinite) spaces of players, study spaces of games 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.
%G English
%L hal-00481346
%U https://hec.hal.science/hal-00481346
%~ SHS
%~ HEC
%~ AO-ECONOMIE