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nucleolus. This paper is an update on the nucleolus and its two related supersolutions, i.e., the kernel and the bargaining set. …
Persistent link: https://www.econbiz.de/10012058650
Persistent link: https://www.econbiz.de/10012550310
nucleolus. This paper is an update on the nucleolus and its two related supersolutions, i.e., the kernel and the bargaining set. …
Persistent link: https://www.econbiz.de/10012018578
There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also coincide. To show this, we prove that the nucleolus of...
Persistent link: https://www.econbiz.de/10005022346
analyzed. The kernel and the nucleolus of the assignment game, are proved to be the translation of the kernel and the nucleolus …
Persistent link: https://www.econbiz.de/10010547514
Persistent link: https://www.econbiz.de/10009292855
There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also coincide. To show this, we prove that the nucleolus of...
Persistent link: https://www.econbiz.de/10005598515
modifications of the well-known (pre)nucleolus and (pre)kernel satisfy the equal treatment property if and only if the weight system … and the size of the subcoalition. Hence, the symmetrically weighted versions of the (pre)nucleolus and the (pre)kernel are …
Persistent link: https://www.econbiz.de/10010818967
In 1972, Maschler, Peleg and Shapley proved that in the class of convex the nucleolus and the kernel coincide. The only …
Persistent link: https://www.econbiz.de/10011183176
Maschler et al. (1979) provide a geometrical characterization for the intersection of the kernel and the core of a … each pair of players. In the case of the assignment game, this means that the kernel can be determined as those core …
Persistent link: https://www.econbiz.de/10009371382