Engineering Technologies and Systems - 20. Shirjaev V. D., Anoshchenkova E. V. «Life line» game. Line of pursuit meeting

UDK 004.9

«LIFE LINE » GAME. LINE OF PURSUIT MEETING

Shiryaev Victor Dmitriyevich (professor, chair of Fundamental Informatics, department of Mathematics and Information Technologies, Ogarev Mordovia State University (Saransk, Russia), Kandidat Nauk (PhD) degree holder in Physical and Mathematical sciences, This email address is being protected from spambots. You need JavaScript enabled to view it.)

Anoshchenkova Ekaterina Vasilyevna (lecturer, chair of Fundamental Informatics, department of Mathematics and Information Technologies Ogarev Mordovia State University (Saransk, Russia), This email address is being protected from spambots. You need JavaScript enabled to view it.)

The object of the research is a game of pursuit with squared «life line» S={(x;y)|−d≤x≤d,−d≤y≤d}. A solution of the game of pursuit is constructed on the following basis: assume an evader (Player E) uses piecewise constant strategies, whereas a pursuer (Player P) uses discrimination strategies. Under these conditions, sections of winning sets of players P and E are built.

Keywords: game of pursuit, «life line», strategy, discrimination for player, safety zone, winning set, envelope.

For citation: Shirjaev V. D., Anoshchenkova E. V. Igra s «liniej zhizni» : Sluchaj potochnoj vstrechi [«Life line» game. Line of pursuit meeting]. Vestnik Mordovskogo Universiteta – Mordovia University Bulletin. 2014, no. 1, pp. 139 – 147.

This work is licensed under a Creative Commons Attribution 4.0 License.