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Stroboscopic Strategy in the Method of Resolving Functions for Game Control Problems with Terminal Payoff Function

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Abstract

The resolving-functions method is analyzed with respect to the theory of conflict-controlled processes with terminal payoff function. A scheme of the method is proposed. This scheme ensures the end of game in a definite guaranteed time in the class of stroboscopic strategies under minimum of additional conditions. The guaranteed times for this scheme of the resolving-functions method are compared with that of the first Pontryagin method.

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Correspondence to I. S. Rappoport.

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Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2016, pp. 90–102.

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Rappoport, I.S. Stroboscopic Strategy in the Method of Resolving Functions for Game Control Problems with Terminal Payoff Function. Cybern Syst Anal 52, 577–587 (2016). https://doi.org/10.1007/s10559-016-9860-z

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  • DOI: https://doi.org/10.1007/s10559-016-9860-z

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