Shapley, Owen and Aumann–Dreze values in a patrolling game with coalition structure
- Authors: Gusev V.V.1
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Affiliations:
- Institute of Applied Mathematical Research
- Issue: Vol 78, No 10 (2017)
- Pages: 1883-1891
- Section: Mathematical Game Theory and Applications
- URL: https://journals.rcsi.science/0005-1179/article/view/150708
- DOI: https://doi.org/10.1134/S0005117917100113
- ID: 150708
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Abstract
This paper considers a simple model of a cooperative patrolling game with coalition structure. It is shown that the Shapley value coincides with the Owen and Aumann–Dreze values under an odd number of defenders.
About the authors
V. V. Gusev
Institute of Applied Mathematical Research
Author for correspondence.
Email: gusev@krc.karelia.ru
Russian Federation, Petrozavodsk
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