Модель кооперативной дифференциальной игры с непрерывным обновлением информации

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Модель кооперативной дифференциальной игры с непрерывным обновлением информации. / Петросян, Ованес Леонович ; Тур, Анна Викторовна ; Ван, Цзэян; Гао, Хонгвей.

In: МАТЕМАТИЧЕСКАЯ ТЕОРИЯ ИГР И ЕЕ ПРИЛОЖЕНИЯ, Vol. 12, No. 2, 2020, p. 82-109.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{c4eaf5c5c80b4500a9e1f2c91e5fce65,

title = "Модель кооперативной дифференциальной игры с непрерывным обновлением информации",

abstract = "The paper considers and describes the class of cooperative differential games with continuous updating. Such a class of differential games is new, at the moment only the class noncooperative game models with continuous updating have been studied. This paper describes the process of constructing cooperative strategies, cooperative trajectory, characteristic function and cooperative solution with continuous updating. Cooperative case of limited resource extraction game model with continuous updating is considered. Optimal strategies, characteristic function and cooperative solution are constructed. The Shapley vector is used as a cooperative solution. The numerical simulation results are demonstrated in the Matlab environment.",

keywords = "дифференциальные игры, кооперативные игры, непрерывное обновление информации, DIFFERENTIAL GAMES, continuous updating",

author = "Петросян, {Ованес Леонович} and Тур, {Анна Викторовна} and Цзэян Ван and Хонгвей Гао",

year = "2020",

language = "русский",

volume = "12",

pages = "82--109",

journal = "МАТЕМАТИЧЕСКАЯ ТЕОРИЯ ИГР И ЕЕ ПРИЛОЖЕНИЯ",

issn = "2074-9872",

publisher = "Институт прикладных математических исследований Карельского научного центра Российской академии наук",

number = "2",

}

RIS

TY - JOUR

T1 - Модель кооперативной дифференциальной игры с непрерывным обновлением информации

AU - Петросян, Ованес Леонович

AU - Тур, Анна Викторовна

AU - Ван, Цзэян

AU - Гао, Хонгвей

PY - 2020

Y1 - 2020

N2 - The paper considers and describes the class of cooperative differential games with continuous updating. Such a class of differential games is new, at the moment only the class noncooperative game models with continuous updating have been studied. This paper describes the process of constructing cooperative strategies, cooperative trajectory, characteristic function and cooperative solution with continuous updating. Cooperative case of limited resource extraction game model with continuous updating is considered. Optimal strategies, characteristic function and cooperative solution are constructed. The Shapley vector is used as a cooperative solution. The numerical simulation results are demonstrated in the Matlab environment.

AB - The paper considers and describes the class of cooperative differential games with continuous updating. Such a class of differential games is new, at the moment only the class noncooperative game models with continuous updating have been studied. This paper describes the process of constructing cooperative strategies, cooperative trajectory, characteristic function and cooperative solution with continuous updating. Cooperative case of limited resource extraction game model with continuous updating is considered. Optimal strategies, characteristic function and cooperative solution are constructed. The Shapley vector is used as a cooperative solution. The numerical simulation results are demonstrated in the Matlab environment.

KW - дифференциальные игры

KW - кооперативные игры

KW - непрерывное обновление информации

KW - DIFFERENTIAL GAMES

KW - continuous updating

UR - http://mgta.krc.karelia.ru/publ.php?plang=r&id=19473

UR - https://www.elibrary.ru/item.asp?id=44051999

M3 - статья

VL - 12

SP - 82

EP - 109

JO - МАТЕМАТИЧЕСКАЯ ТЕОРИЯ ИГР И ЕЕ ПРИЛОЖЕНИЯ

JF - МАТЕМАТИЧЕСКАЯ ТЕОРИЯ ИГР И ЕЕ ПРИЛОЖЕНИЯ

SN - 2074-9872

IS - 2

ER -

ID: 71182960