Coalition and Anti-coalition Interaction in Cooperative Differential Games

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

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.

Язык оригиналаАнглийский
Страницы (с-по)479-483
Число страниц5
ЖурналIFAC-PapersOnLine
Том51
Номер выпуска32
DOI
СостояниеОпубликовано - 2018
Событие17th IFAC Technical-Committee-on-Optimal-Control (TC 2.4) Workshop on Control Applications of Optimization (CAO) - Yekaterinburg
Продолжительность: 15 окт 201819 окт 2018

Отпечаток

Pollution control

Предметные области Scopus

  • Системотехника

Цитировать

@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’ 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 = "2405-8963",
publisher = "Elsevier",
number = "32",

}

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

В: IFAC-PapersOnLine, Том 51, № 32, 2018, стр. 479-483.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

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

AU - Gromova, Ekaterina V.

AU - Marova, Ekaterina V.

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 - 2405-8963

IS - 32

ER -