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The Core of Cooperative Differential Games on Networks. / Tur, Anna; Petrosyan, Leon.

Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings. ed. / Panos Pardalos; Michael Khachay; Vladimir Mazalov. Springer Nature, 2022. p. 295-314 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13367 LNCS).

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

Harvard

Tur, A & Petrosyan, L 2022, The Core of Cooperative Differential Games on Networks. in P Pardalos, M Khachay & V Mazalov (eds), Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 13367 LNCS, Springer Nature, pp. 295-314, 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022, Petrozavodsk, Russian Federation, 2/07/22. https://doi.org/10.1007/978-3-031-09607-5_21

APA

Tur, A., & Petrosyan, L. (2022). The Core of Cooperative Differential Games on Networks. In P. Pardalos, M. Khachay, & V. Mazalov (Eds.), Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings (pp. 295-314). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13367 LNCS). Springer Nature. https://doi.org/10.1007/978-3-031-09607-5_21

Vancouver

Tur A, Petrosyan L. The Core of Cooperative Differential Games on Networks. In Pardalos P, Khachay M, Mazalov V, editors, Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings. Springer Nature. 2022. p. 295-314. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-031-09607-5_21

Author

Tur, Anna ; Petrosyan, Leon. / The Core of Cooperative Differential Games on Networks. Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings. editor / Panos Pardalos ; Michael Khachay ; Vladimir Mazalov. Springer Nature, 2022. pp. 295-314 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{88e0325b65dc4ceba21815e6e5751685,
title = "The Core of Cooperative Differential Games on Networks",
abstract = "A class of differential games on networks is considered. The construction of cooperative optimality principles using a special type of characteristic function that takes into account the network structure of the game is investigated. It is assumed that interaction on the network is possible between neighboring players and between players connected by paths whose length does not exceed a given value. It is shown that in such games the characteristic function is convex even if there are cycles in the network. The core is used as cooperative optimality principles. A necessary and sufficient condition for an imputation to belong to the core is obtained. The network differential resource extraction game is investigated as an example.",
keywords = "Cooperative game, Differential game, Network game, The core, The position value, The Shapley value",
author = "Anna Tur and Leon Petrosyan",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022 ; Conference date: 02-07-2022 Through 06-07-2022",
year = "2022",
doi = "10.1007/978-3-031-09607-5_21",
language = "English",
isbn = "9783031096068",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Nature",
pages = "295--314",
editor = "Panos Pardalos and Michael Khachay and Vladimir Mazalov",
booktitle = "Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings",
address = "Germany",

}

RIS

TY - GEN

T1 - The Core of Cooperative Differential Games on Networks

AU - Tur, Anna

AU - Petrosyan, Leon

N1 - Publisher Copyright: © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2022

Y1 - 2022

N2 - A class of differential games on networks is considered. The construction of cooperative optimality principles using a special type of characteristic function that takes into account the network structure of the game is investigated. It is assumed that interaction on the network is possible between neighboring players and between players connected by paths whose length does not exceed a given value. It is shown that in such games the characteristic function is convex even if there are cycles in the network. The core is used as cooperative optimality principles. A necessary and sufficient condition for an imputation to belong to the core is obtained. The network differential resource extraction game is investigated as an example.

AB - A class of differential games on networks is considered. The construction of cooperative optimality principles using a special type of characteristic function that takes into account the network structure of the game is investigated. It is assumed that interaction on the network is possible between neighboring players and between players connected by paths whose length does not exceed a given value. It is shown that in such games the characteristic function is convex even if there are cycles in the network. The core is used as cooperative optimality principles. A necessary and sufficient condition for an imputation to belong to the core is obtained. The network differential resource extraction game is investigated as an example.

KW - Cooperative game

KW - Differential game

KW - Network game

KW - The core

KW - The position value

KW - The Shapley value

UR - http://www.scopus.com/inward/record.url?scp=85134190069&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/1e5ff906-9065-3016-b08e-2c7d7836b037/

U2 - 10.1007/978-3-031-09607-5_21

DO - 10.1007/978-3-031-09607-5_21

M3 - Conference contribution

AN - SCOPUS:85134190069

SN - 9783031096068

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 295

EP - 314

BT - Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings

A2 - Pardalos, Panos

A2 - Khachay, Michael

A2 - Mazalov, Vladimir

PB - Springer Nature

T2 - 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022

Y2 - 2 July 2022 through 6 July 2022

ER -

ID: 97538987