Geodesic
One axiomatization of generalized Owen extension
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 2, pp. 3-13

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New approach to generalized Owen extension's construction for some classes of polynomial games is considered. It is proved that this extension coincides with Aumann-Shapley extension for one class of nonatomic games. The explicit formula for multiplicative Aumann-Shapley extension is obtained. The axiomatization of classical Owen extension for the class of discrete-time cooperative games is obtained and it differs from Aumann-Shapley axiomatization only by weak multiplicative axiom.
Keywords: cooperative games, polynomial games, Owen extension, Aumann-Shapley extension. 
@article{MGTA_2009_1_2_a0,
     author = {Valeri Vasil'ev},
     title = {One axiomatization of generalized {Owen} extension},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2009_1_2_a0/}
}
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Valeri Vasil'ev. One axiomatization of generalized Owen extension. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 2, pp. 3-13. http://geodesic.mathdoc.fr/item/MGTA_2009_1_2_a0/