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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 3, Pages 193–203
(Mi timm1094)
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This article is cited in 12 scientific papers (total in 12 papers)
Two-level cooperation in coalitional differential games
L. A. Petrosyan, E. V. Gromova Saint Petersburg State University
Abstract:
We consider a differential game with prescribed duration and given coalitional partition of the set of players. The cooperative game proceeds in two stages. At the first stage the players (coalitions) maximize the total payoff and then distribute it according to the Shapley value. At the second stage the components of the Shapley value are distributed inside fixed coalitions. We study the time consistency of the proposed two-level cooperative solution. The problem is solved by means of an imputation distribution procedure. The results are illustrated by a differential game of emission reduction.
Keywords:
cooperative differential games, Shapley value, imputation distribution procedure, time consistency.
Received: 30.04.2014
Citation:
L. A. Petrosyan, E. V. Gromova, “Two-level cooperation in coalitional differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 3, 2014, 193–203
Linking options:
https://www.mathnet.ru/eng/timm1094 https://www.mathnet.ru/eng/timm/v20/i3/p193
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Statistics & downloads: |
Abstract page: | 367 | Full-text PDF : | 97 | References: | 55 | First page: | 15 |
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