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Dynamic Cooperative Games on Networks. / Petrosyan, Leon; Yeung, David; Pankratova, Yaroslavna.

Mathematical Optimization Theory and Operations Research: Recent Trends - 20th International Conference, MOTOR 2021, Revised Selected Papers. ed. / Alexander Strekalovsky; Yury Kochetov; Tatiana Gruzdeva; Andrei Orlov. Springer Nature, 2021. p. 403-416 (Communications in Computer and Information Science; Vol. 1476 CCIS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Petrosyan, L, Yeung, D & Pankratova, Y 2021, Dynamic Cooperative Games on Networks. in A Strekalovsky, Y Kochetov, T Gruzdeva & A Orlov (eds), Mathematical Optimization Theory and Operations Research: Recent Trends - 20th International Conference, MOTOR 2021, Revised Selected Papers. Communications in Computer and Information Science, vol. 1476 CCIS, Springer Nature, pp. 403-416, 20th International Conference on Mathematical Optimization Theory and Operations Research , MOTOR 2021, Virtual, Online, Russian Federation, 5/07/21. https://doi.org/10.1007/978-3-030-86433-0_28

APA

Petrosyan, L., Yeung, D., & Pankratova, Y. (2021). Dynamic Cooperative Games on Networks. In A. Strekalovsky, Y. Kochetov, T. Gruzdeva, & A. Orlov (Eds.), Mathematical Optimization Theory and Operations Research: Recent Trends - 20th International Conference, MOTOR 2021, Revised Selected Papers (pp. 403-416). (Communications in Computer and Information Science; Vol. 1476 CCIS). Springer Nature. https://doi.org/10.1007/978-3-030-86433-0_28

Vancouver

Petrosyan L, Yeung D, Pankratova Y. Dynamic Cooperative Games on Networks. In Strekalovsky A, Kochetov Y, Gruzdeva T, Orlov A, editors, Mathematical Optimization Theory and Operations Research: Recent Trends - 20th International Conference, MOTOR 2021, Revised Selected Papers. Springer Nature. 2021. p. 403-416. (Communications in Computer and Information Science). https://doi.org/10.1007/978-3-030-86433-0_28

Author

Petrosyan, Leon ; Yeung, David ; Pankratova, Yaroslavna. / Dynamic Cooperative Games on Networks. Mathematical Optimization Theory and Operations Research: Recent Trends - 20th International Conference, MOTOR 2021, Revised Selected Papers. editor / Alexander Strekalovsky ; Yury Kochetov ; Tatiana Gruzdeva ; Andrei Orlov. Springer Nature, 2021. pp. 403-416 (Communications in Computer and Information Science).

BibTeX

@inproceedings{b2d3029f68f340ed9f8a6f42312066ef,
title = "Dynamic Cooperative Games on Networks",
abstract = "A class of cooperative differential games on networks is considered. It is supposed that players have the possibility to cut connections with neighbours in each time instant of the game. This gives the possibility to compute the values of characteristic function for each coalition as a joint payoff of players from this coalition without payments induced by actions of players outside the coalition. Thus the characteristic function is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minimax confrontation or the Nash non-cooperative stance. The approach essentially simplifies the construction of the characteristic function and cooperative solutions such as the Shapley value and others. Also, it is proved that the proposed characteristic function is convex and as a result, the Shapley value belongs to the core.",
keywords = "Differential network game, Shapley value, Time consistency, τ -value",
author = "Leon Petrosyan and David Yeung and Yaroslavna Pankratova",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; 20th International Conference on Mathematical Optimization Theory and Operations Research , MOTOR 2021 ; Conference date: 05-07-2021 Through 10-07-2021",
year = "2021",
doi = "10.1007/978-3-030-86433-0_28",
language = "English",
isbn = "9783030864323",
series = "Communications in Computer and Information Science",
publisher = "Springer Nature",
pages = "403--416",
editor = "Alexander Strekalovsky and Yury Kochetov and Tatiana Gruzdeva and Andrei Orlov",
booktitle = "Mathematical Optimization Theory and Operations Research",
address = "Germany",
url = "https://conference.icc.ru/event/3",

}

RIS

TY - GEN

T1 - Dynamic Cooperative Games on Networks

AU - Petrosyan, Leon

AU - Yeung, David

AU - Pankratova, Yaroslavna

N1 - Conference code: 20

PY - 2021

Y1 - 2021

N2 - A class of cooperative differential games on networks is considered. It is supposed that players have the possibility to cut connections with neighbours in each time instant of the game. This gives the possibility to compute the values of characteristic function for each coalition as a joint payoff of players from this coalition without payments induced by actions of players outside the coalition. Thus the characteristic function is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minimax confrontation or the Nash non-cooperative stance. The approach essentially simplifies the construction of the characteristic function and cooperative solutions such as the Shapley value and others. Also, it is proved that the proposed characteristic function is convex and as a result, the Shapley value belongs to the core.

AB - A class of cooperative differential games on networks is considered. It is supposed that players have the possibility to cut connections with neighbours in each time instant of the game. This gives the possibility to compute the values of characteristic function for each coalition as a joint payoff of players from this coalition without payments induced by actions of players outside the coalition. Thus the characteristic function is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minimax confrontation or the Nash non-cooperative stance. The approach essentially simplifies the construction of the characteristic function and cooperative solutions such as the Shapley value and others. Also, it is proved that the proposed characteristic function is convex and as a result, the Shapley value belongs to the core.

KW - Differential network game

KW - Shapley value

KW - Time consistency

KW - τ -value

UR - http://www.scopus.com/inward/record.url?scp=85115868828&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/ab77e91e-b440-3b38-a9ff-99a64b263d2f/

U2 - 10.1007/978-3-030-86433-0_28

DO - 10.1007/978-3-030-86433-0_28

M3 - Conference contribution

AN - SCOPUS:85115868828

SN - 9783030864323

T3 - Communications in Computer and Information Science

SP - 403

EP - 416

BT - Mathematical Optimization Theory and Operations Research

A2 - Strekalovsky, Alexander

A2 - Kochetov, Yury

A2 - Gruzdeva, Tatiana

A2 - Orlov, Andrei

PB - Springer Nature

T2 - 20th International Conference on Mathematical Optimization Theory and Operations Research , MOTOR 2021

Y2 - 5 July 2021 through 10 July 2021

ER -

ID: 86492661