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Upravlenie Bol'shimi Sistemami, 2015, Issue 55, Pages 140–159
(Mi ubs812)
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This article is cited in 8 scientific papers (total in 8 papers)
Strongly time-consistent cooperative solution for a differential game of pollution control
E. V. Gromova, L. A. Petrosyan St. Petersburg State University
Abstract:
In this paper an approach to the determination of the strongly time-consistent cooperative solution for differential games with 2 players is proposed. This approach allows to construct a cooperative solution satisfying strongly time-consistency property under rather general conditions. It is shown that the obtained solution also satisfies the condition of irrational behaviour proofness. The obtained game-theoretical results are illustrated by differential game of pollution control.
Keywords:
differential games, time-consistency, strongly timeconsistency, Yeung’s condition, model of pollution control.
Citation:
E. V. Gromova, L. A. Petrosyan, “Strongly time-consistent cooperative solution for a differential game of pollution control”, UBS, 55 (2015), 140–159
Linking options:
https://www.mathnet.ru/eng/ubs812 https://www.mathnet.ru/eng/ubs/v55/p140
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