Geodesic
Cooperative network games with pairwise interactions
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 4, pp. 7-18

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In the paper network games with pairwise interactions are considered. The main attention is paid to the cooperative version of the game, because of special structure of the game the characteristic function is obtained in explicit form which gives the possibility to determine the Shapley value. The convexity of the game is proved.
Keywords: network, pairwise interactions, cooperation, Shapley value. 
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     author = {Maria A. Bulgakova and Leon A. Petrosyan},
     title = {Cooperative network games with pairwise interactions},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {7--18},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2015_7_4_a1/}
}
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Maria A. Bulgakova; Leon A. Petrosyan. Cooperative network games with pairwise interactions. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 4, pp. 7-18. http://geodesic.mathdoc.fr/item/MGTA_2015_7_4_a1/