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New Characteristic Function for Cooperative Games with Hypergraph Communication Structure. / Kosian, David A.; Petrosyan, Leon A.

Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, 2020. p. 87-98 (Static and Dynamic Game Theory: Foundations and Applications).

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

Harvard

Kosian, DA & Petrosyan, LA 2020, New Characteristic Function for Cooperative Games with Hypergraph Communication Structure. in Static and Dynamic Game Theory: Foundations and Applications. Static and Dynamic Game Theory: Foundations and Applications, Birkhäuser Verlag AG, pp. 87-98. https://doi.org/10.1007/978-3-030-51941-4_7

APA

Kosian, D. A., & Petrosyan, L. A. (2020). New Characteristic Function for Cooperative Games with Hypergraph Communication Structure. In Static and Dynamic Game Theory: Foundations and Applications (pp. 87-98). (Static and Dynamic Game Theory: Foundations and Applications). Birkhäuser Verlag AG. https://doi.org/10.1007/978-3-030-51941-4_7

Vancouver

Kosian DA, Petrosyan LA. New Characteristic Function for Cooperative Games with Hypergraph Communication Structure. In Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG. 2020. p. 87-98. (Static and Dynamic Game Theory: Foundations and Applications). https://doi.org/10.1007/978-3-030-51941-4_7

Author

Kosian, David A. ; Petrosyan, Leon A. / New Characteristic Function for Cooperative Games with Hypergraph Communication Structure. Static and Dynamic Game Theory: Foundations and Applications. Birkhäuser Verlag AG, 2020. pp. 87-98 (Static and Dynamic Game Theory: Foundations and Applications).

BibTeX

@inbook{c0d031de59dd4e6a859b5f3f27824a1d,
title = "New Characteristic Function for Cooperative Games with Hypergraph Communication Structure",
abstract = "Cooperation in the games with hypergraph communication structure is considered. As usual in cooperative game theory, to define the allocation rule, the characteristic function is used. The communication possibilities are described by the hypergraph in which the nodes are players and hyperlinks are the communicating subgroups of players. The payoff of each player is influenced by actions of other players dependent from a distance between them on hypergraph. The new approach for constructing the characteristic function in the game is proposed. This approach does not require the use of maxmin operations which substantially simplifies the calculations. It is proved that the constructed characteristic function satisfies the convexity property. The results are shown in an example.",
keywords = "Charactetistic function, Communication structure, Cooperation, Hypergraph",
author = "Kosian, {David A.} and Petrosyan, {Leon A.}",
note = "Funding Information: This work was supported by Russian Science Foundation under grants No.17- Publisher Copyright: {\textcopyright} 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
doi = "10.1007/978-3-030-51941-4_7",
language = "English",
series = "Static and Dynamic Game Theory: Foundations and Applications",
publisher = "Birkh{\"a}user Verlag AG",
pages = "87--98",
booktitle = "Static and Dynamic Game Theory",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - New Characteristic Function for Cooperative Games with Hypergraph Communication Structure

AU - Kosian, David A.

AU - Petrosyan, Leon A.

N1 - Funding Information: This work was supported by Russian Science Foundation under grants No.17- Publisher Copyright: © 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - Cooperation in the games with hypergraph communication structure is considered. As usual in cooperative game theory, to define the allocation rule, the characteristic function is used. The communication possibilities are described by the hypergraph in which the nodes are players and hyperlinks are the communicating subgroups of players. The payoff of each player is influenced by actions of other players dependent from a distance between them on hypergraph. The new approach for constructing the characteristic function in the game is proposed. This approach does not require the use of maxmin operations which substantially simplifies the calculations. It is proved that the constructed characteristic function satisfies the convexity property. The results are shown in an example.

AB - Cooperation in the games with hypergraph communication structure is considered. As usual in cooperative game theory, to define the allocation rule, the characteristic function is used. The communication possibilities are described by the hypergraph in which the nodes are players and hyperlinks are the communicating subgroups of players. The payoff of each player is influenced by actions of other players dependent from a distance between them on hypergraph. The new approach for constructing the characteristic function in the game is proposed. This approach does not require the use of maxmin operations which substantially simplifies the calculations. It is proved that the constructed characteristic function satisfies the convexity property. The results are shown in an example.

KW - Charactetistic function

KW - Communication structure

KW - Cooperation

KW - Hypergraph

UR - http://www.scopus.com/inward/record.url?scp=85095121182&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/15dc7632-6b4f-34b9-966c-524afdaba77d/

U2 - 10.1007/978-3-030-51941-4_7

DO - 10.1007/978-3-030-51941-4_7

M3 - Chapter

AN - SCOPUS:85095121182

T3 - Static and Dynamic Game Theory: Foundations and Applications

SP - 87

EP - 98

BT - Static and Dynamic Game Theory

PB - Birkhäuser Verlag AG

ER -

ID: 71179837