Geodesic
The vectors of Shapley, Owen, and the Aumann--Dreze in the game patrolling with coalition structure
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 8 (2016) no. 4, pp. 30-42

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We consider a simple model of cooperative version for a patrolling game with coalition structure. It is shown that the Shapley value coincides with the Owen and the Aumann–Dreze vector for odd number of the patrolling.
Keywords: patrolling game, cooperative approach, Shapley value, Owen value, Aumann–Dreze value.
Mots-clés : coalition structure 
@article{MGTA_2016_8_4_a2,
     author = {Vasilij V. Gusev},
     title = {The vectors of {Shapley,} {Owen,} and the {Aumann--Dreze} in the game patrolling with coalition structure},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {30--42},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2016_8_4_a2/}
}
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Vasilij V. Gusev. The vectors of Shapley, Owen, and the Aumann--Dreze in the game patrolling with coalition structure. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 8 (2016) no. 4, pp. 30-42. http://geodesic.mathdoc.fr/item/MGTA_2016_8_4_a2/