Multicoalitional solutions

Stéphane Gonzalez () and Michel Grabisch

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: The paper proposes a new concept of solution for TU games, called multicoalitional solution, which makes sense in the context of production games, that is, where v(S) is the production or income per unit of time. By contrast to classical solutions where elements of the solution are payoff vectors, multicoalitional solutions give in addition an allocation time to each coalition, which permits to realize the payoff vector. We give two instances of such solutions, called the d-multicoalitional core and the c-multicoalitional core, and both arise as the strong Nash equilibrium of two games, where in the first utility per active unit of time is maximized, while in the second it is the utility per total unit of time. We show that the d-core (or aspiration core) of Benett, and the c-core of Guesnerie and Oddou are strongly related to the d-multicoalitional and c-multicoalitional cores, respectively, and that the latter ones can be seen as an implementation of the former ones in a noncooperative framework

Keywords: Cooperative game; core; aspiration core; strong Nash equilibrium (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 19 pages
Date: 2013-08
New Economics Papers: this item is included in nep-gth and nep-hpe
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Downloads: (external link)
ftp://mse.univ-paris1.fr/pub/mse/CES2013/13062.pdf (application/pdf)

Related works:
Journal Article: Multicoalitional solutions (2016)
Working Paper: Multicoalitional solutions (2016)
Working Paper: Multicoalitional solutions (2016)
Working Paper: Multicoalitional solutions (2016)
Working Paper: Multicoalitional solutions (2013)
Working Paper: Multicoalitional solutions (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:13062

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