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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2015 Issue 55, Pages 140–159 (Mi ubs812)

This article is cited 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.

UDC: 519.83



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