Separability by semivalues modified for games with coalition structure
RAIRO - Operations Research - Recherche Opérationnelle, Tome 43 (2009) no. 2, pp. 215-230.

Two games are inseparable by semivalues if both games obtain the same allocation whatever semivalue is considered. The problem of separability by semivalues reduces to separability from the null game. For four or more players, the vector subspace of games inseparable from the null game by semivalues contains games different to zero-game. Now, for five or more players, the consideration of a priori coalition blocks in the player set allows us to reduce in a significant way the dimension of the vector subspace of games inseparable from the null game. For these subspaces we provide basis formed by games of a particular type.

DOI : 10.1051/ro/2009013
Classification : 91A12, 91A70
Mots-clés : cooperative games, semivalue, semivalue modified for games with coalition structure, separability, multilinear extension
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     title = {Separability by semivalues modified for games with coalition structure},
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     pages = {215--230},
     publisher = {EDP-Sciences},
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Amer, Rafael; Giménez, José Miguel. Separability by semivalues modified for games with coalition structure. RAIRO - Operations Research - Recherche Opérationnelle, Tome 43 (2009) no. 2, pp. 215-230. doi : 10.1051/ro/2009013. http://www.numdam.org/articles/10.1051/ro/2009013/

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