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JOURNALS // Contributions to Game Theory and Management // Archive

Contributions to Game Theory and Management, 2017 Volume 10, Pages 7–16 (Mi cgtm295)

Cost optimization for the transport network of Yakutia

Galina I. Bybyakina, Taisia M. Plekhanova, Ekaterina V. Gromova

St. Petersburg State University, 7/9 Universitetskaya nab., St.Petersburg, 199034, Russia

Abstract: The paper studies game-theoretic approach to the problem of reducing costs of agricultural products transportation on the transport network roads of the Sakha (Yakutia) Republic. Also were proposed a mathematical formulation of problem of players cooperation as the problem of reducing costs for the transport network in the form of cooperative game with characteristic function, as well as a cooperative game with a coalition structure. The solution of such cooperative games, i.e. the optimal cost distribution between players was found in the form of Shapley value.

Keywords: cooperative game, characteristic function, Shapley value.

Language: English



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© Steklov Math. Inst. of RAS, 2024