No 3 (11): 1.

Computer and Information Sciences

 2018

Scientific article
pdf-version

Anton E. Vladimirov
Student, Petrozavodsk State University
(Petrozavodsk, Belorusskaya 15, 433),
vladimirowant@yandex.ru
Daniil A. Egipti
Student, Petrozavodsk State University
(Petrozavodsk Sulajgorskaya 4/1 4),
san.delli253@gmail.com
Elizaveta M. Kurbankadieva
Student, Petrozavodsk State University
(Petrozavodsk Oktyabrsky prospect 63, 42),
kurbankadievalisa@yandex.ru

Game-theoretic model of patrolling on a linear graph

Scientific adviser:
Dorofeeva Julia Alexandrovna
Paper submitted on: 09/25/2018;
Accepted on: 12/12/2018;
 Abstract. The article deals with the problem of patrolling on a linear graph. The payment matrix of all possible variants of the game is constructed.
The winning strategies for attacking and patrolling are defined. The following regularities are revealed: how the patrolling strategies change, if you change the period of the game, the number of vertices of the graph (floors).
Keywords: Game Theory, payment matrix, graph, model, pure strategy

For citation: Vladimirov, A. E., Egipti, D. A., Kurbankadieva, E. M. Game-theoretic model of patrolling on a linear graph. StudArctic forum. 2018, 3 (11): 1.

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