Cooperative Optimality Principles in Differential Games on Networks

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Cooperative Optimality Principles in Differential Games on Networks. / Tur, A. V.; Petrosyan, L. A.

In: Automation and Remote Control, Vol. 82, No. 6, 01.06.2021, p. 1095-1106.

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

BibTeX

@article{a4ab66d0938845089b1d7923a82887b6,

title = "Cooperative Optimality Principles in Differential Games on Networks",

abstract = "Abstract: We describe a class of differential games on networks and study the problem ofconstructing cooperative optimality principles using a characteristic function of a special typetaking into account the network structure of the game. We use the core, Shapley value, and τ-value as cooperative optimality principles. Theresults are demonstrated on a model of a differential knowledge stock game, where the Shapleyvalue and the τ-value are constructed in explicit form.",

keywords = "cooperative games, differential games, games on networks",

author = "Tur, {A. V.} and Petrosyan, {L. A.}",

note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = jun,

day = "1",

doi = "10.1134/s0005117921060096",

language = "English",

volume = "82",

pages = "1095--1106",

journal = "Automation and Remote Control",

issn = "0005-1179",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "6",

}

RIS

TY - JOUR

T1 - Cooperative Optimality Principles in Differential Games on Networks

AU - Tur, A. V.

AU - Petrosyan, L. A.

PY - 2021/6/1

Y1 - 2021/6/1

N2 - Abstract: We describe a class of differential games on networks and study the problem ofconstructing cooperative optimality principles using a characteristic function of a special typetaking into account the network structure of the game. We use the core, Shapley value, and τ-value as cooperative optimality principles. Theresults are demonstrated on a model of a differential knowledge stock game, where the Shapleyvalue and the τ-value are constructed in explicit form.

AB - Abstract: We describe a class of differential games on networks and study the problem ofconstructing cooperative optimality principles using a characteristic function of a special typetaking into account the network structure of the game. We use the core, Shapley value, and τ-value as cooperative optimality principles. Theresults are demonstrated on a model of a differential knowledge stock game, where the Shapleyvalue and the τ-value are constructed in explicit form.

KW - cooperative games

KW - differential games

KW - games on networks

UR - http://www.scopus.com/inward/record.url?scp=85109920160&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/e2a91a2f-d5c0-311b-9c10-fd27ffeea2e5/

U2 - 10.1134/s0005117921060096

DO - 10.1134/s0005117921060096

M3 - Article

AN - SCOPUS:85109920160

VL - 82

SP - 1095

EP - 1106

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 6

ER -

ID: 84645063