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Coalition and Anti-coalition Interaction in Cooperative Differential Games. / Gromova, Ekaterina V.; Marova, Ekaterina V.

In: IFAC-PapersOnLine, Vol. 51, No. 32, 2018, p. 479-483.

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

Harvard

Gromova, EV & Marova, EV 2018, 'Coalition and Anti-coalition Interaction in Cooperative Differential Games', IFAC-PapersOnLine, vol. 51, no. 32, pp. 479-483. https://doi.org/10.1016/j.ifacol.2018.11.466

APA

Gromova, E. V., & Marova, E. V. (2018). Coalition and Anti-coalition Interaction in Cooperative Differential Games. IFAC-PapersOnLine, 51(32), 479-483. https://doi.org/10.1016/j.ifacol.2018.11.466

Vancouver

Gromova EV, Marova EV. Coalition and Anti-coalition Interaction in Cooperative Differential Games. IFAC-PapersOnLine. 2018;51(32):479-483. https://doi.org/10.1016/j.ifacol.2018.11.466

Author

Gromova, Ekaterina V. ; Marova, Ekaterina V. / Coalition and Anti-coalition Interaction in Cooperative Differential Games. In: IFAC-PapersOnLine. 2018 ; Vol. 51, No. 32. pp. 479-483.

BibTeX

@article{febbb2f417be4e7bbf0bff7778409c48,
title = "Coalition and Anti-coalition Interaction in Cooperative Differential Games",
abstract = "This paper is devoted to the study of how the coalition of players interact with the remaining players and vice versa. This is a key question when constructing the characteristic function in cooperative games. In this paper we consider three common approaches to the characteristic function construction in a cooperative differential game of n players: α—, δ— and ζ— characteristic functions and introduce a new characteristics of players{\textquoteright} behavior termed the reaction measure. Moreover, we introduce a new characteristic function which is technically much easy to construct. We study the properties of all considered characteristic functions and make the conclusion that the new characteristic function can be used instead of the classical α— characteristic function. The obtained results are illustrated for a differential game of pollution control.",
keywords = "Behaviour, control applications, control open-loop, cooperation, cooperative control, decision making, differential games, economic design, environment control, payoff functions",
author = "Gromova, {Ekaterina V.} and Marova, {Ekaterina V.}",
year = "2018",
doi = "10.1016/j.ifacol.2018.11.466",
language = "Английский",
volume = "51",
pages = "479--483",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "32",
note = "null ; Conference date: 15-10-2018 Through 19-12-2018",
url = "https://www.ipu.ru/node/43678",

}

RIS

TY - JOUR

T1 - Coalition and Anti-coalition Interaction in Cooperative Differential Games

AU - Gromova, Ekaterina V.

AU - Marova, Ekaterina V.

N1 - Conference code: 17

PY - 2018

Y1 - 2018

N2 - This paper is devoted to the study of how the coalition of players interact with the remaining players and vice versa. This is a key question when constructing the characteristic function in cooperative games. In this paper we consider three common approaches to the characteristic function construction in a cooperative differential game of n players: α—, δ— and ζ— characteristic functions and introduce a new characteristics of players’ behavior termed the reaction measure. Moreover, we introduce a new characteristic function which is technically much easy to construct. We study the properties of all considered characteristic functions and make the conclusion that the new characteristic function can be used instead of the classical α— characteristic function. The obtained results are illustrated for a differential game of pollution control.

AB - This paper is devoted to the study of how the coalition of players interact with the remaining players and vice versa. This is a key question when constructing the characteristic function in cooperative games. In this paper we consider three common approaches to the characteristic function construction in a cooperative differential game of n players: α—, δ— and ζ— characteristic functions and introduce a new characteristics of players’ behavior termed the reaction measure. Moreover, we introduce a new characteristic function which is technically much easy to construct. We study the properties of all considered characteristic functions and make the conclusion that the new characteristic function can be used instead of the classical α— characteristic function. The obtained results are illustrated for a differential game of pollution control.

KW - Behaviour

KW - control applications

KW - control open-loop

KW - cooperation

KW - cooperative control

KW - decision making

KW - differential games

KW - economic design

KW - environment control

KW - payoff functions

UR - http://www.scopus.com/inward/record.url?scp=85058195509&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2018.11.466

DO - 10.1016/j.ifacol.2018.11.466

M3 - статья

AN - SCOPUS:85058195509

VL - 51

SP - 479

EP - 483

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 32

Y2 - 15 October 2018 through 19 December 2018

ER -

ID: 36758914