Arbeitspapier
Canonical Representation of Set Functions
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.
- Sprache
-
Englisch
- Erschienen in
-
Series: Discussion Paper ; No. 986
- Klassifikation
-
Wirtschaft
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Gilboa, Itzhak
Schmeidler, David
- Ereignis
-
Veröffentlichung
- (wer)
-
Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science
- (wo)
-
Evanston, IL
- (wann)
-
1992
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:44 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- Gilboa, Itzhak
- Schmeidler, David
- Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science
Entstanden
- 1992
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