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Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs. / Petrosyan, Leon A.; Yeung, David W.K.

Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018. ed. / Leon A. Petrosyan; Vladimir V. Mazalov; Nikolay A. Zenkevich. Cham : Birkhäuser Verlag AG, 2019. p. 209-230 (Static and Dynamic Game Theory: Foundations and Applications).

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Harvard

Petrosyan, LA & Yeung, DWK 2019, Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs. in LA Petrosyan, VV Mazalov & NA Zenkevich (eds), Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018. Static and Dynamic Game Theory: Foundations and Applications, Birkhäuser Verlag AG, Cham, pp. 209-230. https://doi.org/10.1007/978-3-030-23699-1_11

APA

Petrosyan, L. A., & Yeung, D. W. K. (2019). Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs. In L. A. Petrosyan, V. V. Mazalov, & N. A. Zenkevich (Eds.), Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018 (pp. 209-230). (Static and Dynamic Game Theory: Foundations and Applications). Birkhäuser Verlag AG. https://doi.org/10.1007/978-3-030-23699-1_11

Vancouver

Petrosyan LA, Yeung DWK. Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs. In Petrosyan LA, Mazalov VV, Zenkevich NA, editors, Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018. Cham: Birkhäuser Verlag AG. 2019. p. 209-230. (Static and Dynamic Game Theory: Foundations and Applications). https://doi.org/10.1007/978-3-030-23699-1_11

Author

Petrosyan, Leon A. ; Yeung, David W.K. / Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs. Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018. editor / Leon A. Petrosyan ; Vladimir V. Mazalov ; Nikolay A. Zenkevich. Cham : Birkhäuser Verlag AG, 2019. pp. 209-230 (Static and Dynamic Game Theory: Foundations and Applications).

BibTeX

@inbook{0ef2cbc5cc9f4bd9a9d694cf3d8b777b,
title = "Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs",
abstract = "In many real-life scenarios, groups or nations with common interest form coalition blocs by agreement for mutual support and joint actions. This paper considers two levels of cooperation: cooperation among members within a coalition bloc and cooperation between the coalition blocs. Coalition blocs are formed by players with common interests to enhance their gains through cooperation. To increase their gains coalition blocs would negotiate to form a grand coalition. A grand coalition cooperation of the coalitional blocs is studied. The gains of each coalition are defined as components of the Shapley value. Dynamically consistent payoff distributions between coalitions and among players are derived for this double-level cooperation scheme. For definition of players{\textquoteright} gains inside each coalition the proportional solution is used.",
keywords = "Coalition, Dynamically consistent solution, Imputation distribution procedure, Proportional solution, Shapley value",
author = "Petrosyan, {Leon A.} and Yeung, {David W.K.}",
note = "Petrosyan L.A., Yeung D.W.K. (2019) Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs. In: Petrosyan L., Mazalov V., Zenkevich N. (eds) Frontiers of Dynamic Games. Static & Dynamic Game Theory: Foundations & Applications. Birkh{\"a}user, Cham",
year = "2019",
doi = "10.1007/978-3-030-23699-1_11",
language = "English",
isbn = "9783030236984",
series = "Static and Dynamic Game Theory: Foundations and Applications",
publisher = "Birkh{\"a}user Verlag AG",
pages = "209--230",
editor = "Petrosyan, {Leon A. } and Mazalov, {Vladimir V. } and Zenkevich, {Nikolay A. }",
booktitle = "Frontiers of Dynamic Games",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs

AU - Petrosyan, Leon A.

AU - Yeung, David W.K.

N1 - Petrosyan L.A., Yeung D.W.K. (2019) Dynamically Consistent Bi-level Cooperation of a Dynamic Game with Coalitional Blocs. In: Petrosyan L., Mazalov V., Zenkevich N. (eds) Frontiers of Dynamic Games. Static & Dynamic Game Theory: Foundations & Applications. Birkhäuser, Cham

PY - 2019

Y1 - 2019

N2 - In many real-life scenarios, groups or nations with common interest form coalition blocs by agreement for mutual support and joint actions. This paper considers two levels of cooperation: cooperation among members within a coalition bloc and cooperation between the coalition blocs. Coalition blocs are formed by players with common interests to enhance their gains through cooperation. To increase their gains coalition blocs would negotiate to form a grand coalition. A grand coalition cooperation of the coalitional blocs is studied. The gains of each coalition are defined as components of the Shapley value. Dynamically consistent payoff distributions between coalitions and among players are derived for this double-level cooperation scheme. For definition of players’ gains inside each coalition the proportional solution is used.

AB - In many real-life scenarios, groups or nations with common interest form coalition blocs by agreement for mutual support and joint actions. This paper considers two levels of cooperation: cooperation among members within a coalition bloc and cooperation between the coalition blocs. Coalition blocs are formed by players with common interests to enhance their gains through cooperation. To increase their gains coalition blocs would negotiate to form a grand coalition. A grand coalition cooperation of the coalitional blocs is studied. The gains of each coalition are defined as components of the Shapley value. Dynamically consistent payoff distributions between coalitions and among players are derived for this double-level cooperation scheme. For definition of players’ gains inside each coalition the proportional solution is used.

KW - Coalition

KW - Dynamically consistent solution

KW - Imputation distribution procedure

KW - Proportional solution

KW - Shapley value

UR - http://www.scopus.com/inward/record.url?scp=85073214551&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-23699-1_11

DO - 10.1007/978-3-030-23699-1_11

M3 - Chapter

AN - SCOPUS:85073214551

SN - 9783030236984

T3 - Static and Dynamic Game Theory: Foundations and Applications

SP - 209

EP - 230

BT - Frontiers of Dynamic Games

A2 - Petrosyan, Leon A.

A2 - Mazalov, Vladimir V.

A2 - Zenkevich, Nikolay A.

PB - Birkhäuser Verlag AG

CY - Cham

ER -

ID: 48343690