Standard

Cooperative Differential Games with Partner Sets on Networks. / Petrosyan, L. A. ; Yeung, D.; Pankratova, Y. B. .

In: Trudy Instituta Matematiki i Mekhaniki UrO RAN, Vol. 27, No. 3, 2021, p. 286-295.

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

Harvard

Petrosyan, LA, Yeung, D & Pankratova, YB 2021, 'Cooperative Differential Games with Partner Sets on Networks', Trudy Instituta Matematiki i Mekhaniki UrO RAN, vol. 27, no. 3, pp. 286-295.

APA

Petrosyan, L. A., Yeung, D., & Pankratova, Y. B. (2021). Cooperative Differential Games with Partner Sets on Networks. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 27(3), 286-295.

Vancouver

Petrosyan LA, Yeung D, Pankratova YB. Cooperative Differential Games with Partner Sets on Networks. Trudy Instituta Matematiki i Mekhaniki UrO RAN. 2021;27(3):286-295.

Author

Petrosyan, L. A. ; Yeung, D. ; Pankratova, Y. B. . / Cooperative Differential Games with Partner Sets on Networks. In: Trudy Instituta Matematiki i Mekhaniki UrO RAN. 2021 ; Vol. 27, No. 3. pp. 286-295.

BibTeX

@article{ea344d96fdfe4b36a057239a2e3a2373,
title = "Cooperative Differential Games with Partner Sets on Networks",
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 tau-value are computed. It is also proved that in this special class of differential games the Shapley value is time-consistent.",
keywords = "Shapley value, Differential network game, time consistency, partner sets",
author = "Petrosyan, {L. A.} and D. Yeung and Pankratova, {Y. B.}",
note = "L. A. Petrosyan, D. Yeung, Y. B. Pankratova, “Cooperative Differential Games with Partner Sets on Networks”, Trudy Inst. Mat. i Mekh. UrO RAN, 27, no. 3, 2021, 286–295",
year = "2021",
language = "English",
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 - Cooperative Differential Games with Partner Sets on Networks

AU - Petrosyan, L. A.

AU - Yeung, D.

AU - Pankratova, Y. B.

N1 - L. A. Petrosyan, D. Yeung, Y. B. Pankratova, “Cooperative Differential Games with Partner Sets on Networks”, Trudy Inst. Mat. i Mekh. UrO RAN, 27, no. 3, 2021, 286–295

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 tau-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 tau-value are computed. It is also proved that in this special class of differential games the Shapley value is time-consistent.

KW - Shapley value

KW - Differential network game

KW - time consistency

KW - partner sets

UR - https://doi.org/10.21538/0134-4889-2021-27-3-286-295

UR - http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=timm&paperid=1857&option_lang=eng

M3 - Article

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: 87677870