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URL:
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https://ub-madoc.bib.uni-mannheim.de/2511
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URN:
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urn:nbn:de:bsz:180-madoc-25117
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Document Type:
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Working paper
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Year of publication:
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2007
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The title of a journal, publication series:
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Rationalitätskonzepte, Entscheidungsverhalten und ökonomische Modellierung
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Volume:
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07-57
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Place of publication:
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Mannheim
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Publication language:
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English
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Institution:
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School of Law and Economics > Sonstige - Fakultät für Rechtswissenschaft und Volkswirtschaftslehre
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MADOC publication series:
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Sonderforschungsbereich 504 > Rationalitätskonzepte, Entscheidungsverhalten und ökonomische Modellierung (Laufzeit 1997 - 2008)
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Subject:
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330 Economics
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Classification:
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JEL:
C72 C71 C70 ,
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Subject headings (SWD):
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Koalition , Spieltheorie , Shapley-Lösung , Theorie
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Keywords (English):
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Clan games , Consistent set , Farsighted stable set , Shapley value
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Abstract:
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We study farsighted coalitional stability in the context of TUgames. Chwe (1994, p.318) notes that, in this context, it is difficult to prove nonemptiness of the largest consistent set. We show that every TU-game has a nonempty largest consistent set. Moreover, the proof of this result points out that each TU-game has a farsighted stable set. We go further by providing a characterization of the collection of farsighted stable sets in TU-games. We also show that the farsighted core of a TU-game is empty or is equal to the set of imputations of the game. Next, the relationships between the core and the largest consistent set are studied in superadditive TU-games and in clan games. In the last section, we explore the stability of the Shapley value. It is proved that the Shapley value of a superadditive TU-game is always a stable imputation: it is a core imputation or it constitutes a farsighted stable set. A necessary and sufficient condition for a superadditive TU-game to have the Shapley value in the largest consistent set is given.
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Additional information:
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Rationalitätskonzepte, Entscheidungsverhalten und ökonomische Modellierung
Mannheim
07-57
[Working paper]
![[img]](https://madoc.bib.uni-mannheim.de/style/images/fileicons/application_pdf.png)
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