Кооперативные дифференциальные игры с партнерскими множествами на сетях

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Кооперативные дифференциальные игры с партнерскими множествами на сетях. / Petrosyan, Leon Aganesovich; Yeung, David W.K.; Pankratova, Yaroslavna Borisovna.

в: Trudy Instituta Matematiki i Mekhaniki UrO RAN, Том 27, № 3, 2021, стр. 286-295.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{988e3f3ac8de4a54acafd0cf49c50eac,

title = "Кооперативные дифференциальные игры с партнерскими множествами на сетях",

abstract = "In the paper, the differential games on networks with partner sets are considered. The payoffs of a given player depend on his actions and the actions of the players from his partner set. The cooperative version of the game is proposed, and the special type of characteristic function is introduced. It is proved the constructed cooperative game is convex. Using the properties of the payoff functions and the constructed characteristic function, the Shapley Value and τ-value are computed. It is also proved that in this special class of differential games the Shapley value is time-consistent.",

keywords = "Differential network game, Partner sets, Shapley value, Time consistency",

author = "Petrosyan, {Leon Aganesovich} and Yeung, {David W.K.} and Pankratova, {Yaroslavna Borisovna}",

note = "Funding Information: 1The first author is supported by Russian Science Foundation, the grant “Optimal Behavior in Conflict-Controlled Systems” (project no. 17-11-01079). Publisher Copyright: {\textcopyright} 2021 The authors.",

year = "2021",

doi = "10.21538/0134-4889-2021-27-3-286-295",

language = "русский",

volume = "27",

pages = "286--295",

journal = "ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН",

issn = "0134-4889",

publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН ",

number = "3",

}

RIS

TY - JOUR

T1 - Кооперативные дифференциальные игры с партнерскими множествами на сетях

AU - Petrosyan, Leon Aganesovich

AU - Yeung, David W.K.

AU - Pankratova, Yaroslavna Borisovna

N1 - Funding Information: 1The first author is supported by Russian Science Foundation, the grant “Optimal Behavior in Conflict-Controlled Systems” (project no. 17-11-01079). Publisher Copyright: © 2021 The authors.

PY - 2021

Y1 - 2021

N2 - In the paper, the differential games on networks with partner sets are considered. The payoffs of a given player depend on his actions and the actions of the players from his partner set. The cooperative version of the game is proposed, and the special type of characteristic function is introduced. It is proved the constructed cooperative game is convex. Using the properties of the payoff functions and the constructed characteristic function, the Shapley Value and τ-value are computed. It is also proved that in this special class of differential games the Shapley value is time-consistent.

AB - In the paper, the differential games on networks with partner sets are considered. The payoffs of a given player depend on his actions and the actions of the players from his partner set. The cooperative version of the game is proposed, and the special type of characteristic function is introduced. It is proved the constructed cooperative game is convex. Using the properties of the payoff functions and the constructed characteristic function, the Shapley Value and τ-value are computed. It is also proved that in this special class of differential games the Shapley value is time-consistent.

KW - Differential network game

KW - Partner sets

KW - Shapley value

KW - Time consistency

UR - http://www.scopus.com/inward/record.url?scp=85123626730&partnerID=8YFLogxK

U2 - 10.21538/0134-4889-2021-27-3-286-295

DO - 10.21538/0134-4889-2021-27-3-286-295

M3 - статья

AN - SCOPUS:85123626730

VL - 27

SP - 286

EP - 295

JO - ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН

JF - ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН

SN - 0134-4889

IS - 3

ER -

ID: 92513790