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Potential functions for finding stable coalition structures. / Gusev, Vasily V.; Mazalov, Vladimir V.

In: Operations Research Letters, Vol. 47, No. 6, 2019, p. 478-482.

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

Harvard

Gusev, VV & Mazalov, VV 2019, 'Potential functions for finding stable coalition structures', Operations Research Letters, vol. 47, no. 6, pp. 478-482. https://doi.org/10.1016/j.orl.2019.08.006

APA

Gusev, V. V., & Mazalov, V. V. (2019). Potential functions for finding stable coalition structures. Operations Research Letters, 47(6), 478-482. https://doi.org/10.1016/j.orl.2019.08.006

Vancouver

Gusev VV, Mazalov VV. Potential functions for finding stable coalition structures. Operations Research Letters. 2019;47(6):478-482. https://doi.org/10.1016/j.orl.2019.08.006

Author

Gusev, Vasily V. ; Mazalov, Vladimir V. / Potential functions for finding stable coalition structures. In: Operations Research Letters. 2019 ; Vol. 47, No. 6. pp. 478-482.

BibTeX

@article{16ea35e7b5a8477abee071b47f5f5007,
title = "Potential functions for finding stable coalition structures",
abstract = "The existence of a Nash-stable coalition structure in cooperative games with the Aumann–Dreze value is investigated. Using the framework of potential functions, it is proved that such a coalition structure exists in any cooperative game. In addition, a similar result is established for some linear values of the game, in particular, the Banzhaf value. For a cooperative game with vector payments, a type of stability based on maximizing the guaranteed payoffs of all players is proposed.",
keywords = "Cooperative game with coalition structure, Nash stability, Aumann–Dreze value, Potential functions, Multicriteria games, -stability",
author = "Gusev, {Vasily V.} and Mazalov, {Vladimir V.}",
year = "2019",
doi = "10.1016/j.orl.2019.08.006",
language = "русский",
volume = "47",
pages = "478--482",
journal = "Operations Research Letters",
issn = "0167-6377",
publisher = "Elsevier",
number = "6",

}

RIS

TY - JOUR

T1 - Potential functions for finding stable coalition structures

AU - Gusev, Vasily V.

AU - Mazalov, Vladimir V.

PY - 2019

Y1 - 2019

N2 - The existence of a Nash-stable coalition structure in cooperative games with the Aumann–Dreze value is investigated. Using the framework of potential functions, it is proved that such a coalition structure exists in any cooperative game. In addition, a similar result is established for some linear values of the game, in particular, the Banzhaf value. For a cooperative game with vector payments, a type of stability based on maximizing the guaranteed payoffs of all players is proposed.

AB - The existence of a Nash-stable coalition structure in cooperative games with the Aumann–Dreze value is investigated. Using the framework of potential functions, it is proved that such a coalition structure exists in any cooperative game. In addition, a similar result is established for some linear values of the game, in particular, the Banzhaf value. For a cooperative game with vector payments, a type of stability based on maximizing the guaranteed payoffs of all players is proposed.

KW - Cooperative game with coalition structure

KW - Nash stability

KW - Aumann–Dreze value

KW - Potential functions

KW - Multicriteria games

KW - -stability

U2 - 10.1016/j.orl.2019.08.006

DO - 10.1016/j.orl.2019.08.006

M3 - статья

VL - 47

SP - 478

EP - 482

JO - Operations Research Letters

JF - Operations Research Letters

SN - 0167-6377

IS - 6

ER -

ID: 134636772