%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