Geodesic
Unblocked imputations of fuzzy games~II. Nonemptyness of the cores for two market games
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 4, pp. 3-18

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This paper is a continuation of the previous article by the author devoted to the generalization of the famous Scarf Theorem on the core to the fuzzy NTU cooperative games, introduced by J.-P. Aubin. The generalization considered is based on the extension of classical blocking via ordinary coalitions to the blocking via so-called fuzzy coalitions. By extending well-known concept of balanced family to the case of an arbitrary set of fuzzy coalitions, we analyze fuzzy core existence problem for pure exchange economic models and spatial interregional systems introduced by A. G. Granberg.
Keywords: NTU fuzzy cooperative game, $F$-balancedness of a fuzzy game, unblocked imputation, pure exchange model, spatial interregional economic system. 
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     author = {V. A. Vasil'ev},
     title = {Unblocked imputations of fuzzy {games~II.} {Nonemptyness} of the cores for two market games},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {3--18},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2018_18_4_a0/}
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V. A. Vasil'ev. Unblocked imputations of fuzzy games~II. Nonemptyness of the cores for two market games. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 4, pp. 3-18. http://geodesic.mathdoc.fr/item/VNGU_2018_18_4_a0/