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.