Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/87151
Authors: 
Sánchez-Rodríguez, Estela
Borm, Peter
Estévez-Fernández, Arantza
Fiestras-Janeiro, M. Gloria
Mosquera, Manuel A.
Year of Publication: 
2013
Series/Report no.: 
Tinbergen Institute Discussion Paper 13-177/II
Abstract: 
This paper extends the notion of individual minimal rights for a transferable utility game (TU-game) to coalitional minimal rights using minimal balanced families of a specific type, thus defining a corresponding minimal rights game. It is shown that the core of a TU-game coincides with the core of the corresponding minimal rights game. Moreover, the paper introduces the notion of the k-core cover as an extension of the core cover. The k-core cover of a TU-game consists of all efficient payoff vectors for which the total joint payoff for any coalition of size at most k is bounded from above by the value of this coalition in the corresponding dual game, and from below by the value of this coalition in the corresponding minimal rights game. It is shown that the core of a TU-game with player set N coincides with the ?2?-core cover. Furthermore, full characteriz ations of games for which a k-core cover is nonempty and for which a k-core cover coincides with the core are provided.
Subjects: 
Core
core cover
k-core cover
k-compromise admissibility
k-compromise stability
assignment games
JEL: 
C71
Document Type: 
Working Paper

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