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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive
Mat. Teor. Igr Pril., 2016 Volume 8, Issue 4, Pages 30–42 (Mi mgta188)
This article is cited in 2 papers

The vectors of Shapley, Owen, and the Aumann–Dreze in the game patrolling with coalition structure

Vasilij V. Gusev

IAMR KRC RAS

Abstract: 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, coalition structure, Shapley value, Owen value, Aumann–Dreze value.

UDC: 519.83
BBK: 22.18


 English version: Automation and Remote Control, 2017, 78:10, 1883–1891

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© Steklov Math. Inst. of RAS, 2024