Transactions of KarRC RAS :: Scientific publications
Transactions of KarRC RAS :: Scientific publications

Transactions of KarRC RAS :: Scientific publications
Karelian Research Centre of RAS
ISSN (print): 1997-3217
ISSN (online): 2312-4504
Transactions of KarRC RAS :: Scientific publications
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Transactions of KarRC RAS :: Scientific publications

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SCIENTIFIC PUBLICATIONS
А.А. Ивашко, Е.Е. Ивашко.
Игра N лиц с оптимальной остановкой
// Труды КарНЦ РАН. No 5. Сер. Математическое моделирование и информационные технологии, вып. 2. 2011. C. 28-32
A.A. Ivashko, E.E. Ivashko. N-person optimal stopping game // Transactions of Karelian Research Centre of Russian Academy of Science. No 5. Mathematical Modeling and Information Technologies. 2011. Pp. 28-32
Keywords: optimal stopping games, threshold strategy, disorder.
The following n-person optimal stopping game is considered. Each of n players gets a random number from [0; b], b > 1 as a score. A player has to decide whether to stop after the first draw or to continue to a second draw, in which case the value of a second random variable is added to their score. Players do not know the scores or the decisions of other players. The player with the largest total score not exceeding 1 wins. In the case the total scores of each player exceeds 1, the player with the lowest score closest to 1 wins. The objective of each player is to maximize the probability of one's win. Optimal strategies of the players are presented. The disorder version of the game is also investigated.

trudy_201105_028-32.pdf (387 Kb, total downloads: 237)



  Last modified: October 16, 2011