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ДВУХУРОВНЕВАЯ КООПЕРАЦИЯ В ОДНОМ КЛАССЕ НЕАНТАГОНИСТИЧЕСКИХ ДИФФЕРЕНЦИАЛЬНЫХ ИГР. / Petrosyan, Leon Aganesovich; Yeung, David W.K.

In: Trudy Instituta Matematiki i Mekhaniki UrO RAN, Vol. 25, No. 1, 01.01.2019, p. 166-173.

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

Harvard

Petrosyan, LA & Yeung, DWK 2019, 'ДВУХУРОВНЕВАЯ КООПЕРАЦИЯ В ОДНОМ КЛАССЕ НЕАНТАГОНИСТИЧЕСКИХ ДИФФЕРЕНЦИАЛЬНЫХ ИГР', Trudy Instituta Matematiki i Mekhaniki UrO RAN, vol. 25, no. 1, pp. 166-173. https://doi.org/10.21538/0134-4889-2019-25-1-166-173

APA

Petrosyan, L. A., & Yeung, D. W. K. (2019). ДВУХУРОВНЕВАЯ КООПЕРАЦИЯ В ОДНОМ КЛАССЕ НЕАНТАГОНИСТИЧЕСКИХ ДИФФЕРЕНЦИАЛЬНЫХ ИГР. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 25(1), 166-173. https://doi.org/10.21538/0134-4889-2019-25-1-166-173

Vancouver

Petrosyan LA, Yeung DWK. ДВУХУРОВНЕВАЯ КООПЕРАЦИЯ В ОДНОМ КЛАССЕ НЕАНТАГОНИСТИЧЕСКИХ ДИФФЕРЕНЦИАЛЬНЫХ ИГР. Trudy Instituta Matematiki i Mekhaniki UrO RAN. 2019 Jan 1;25(1):166-173. https://doi.org/10.21538/0134-4889-2019-25-1-166-173

Author

Petrosyan, Leon Aganesovich ; Yeung, David W.K. / ДВУХУРОВНЕВАЯ КООПЕРАЦИЯ В ОДНОМ КЛАССЕ НЕАНТАГОНИСТИЧЕСКИХ ДИФФЕРЕНЦИАЛЬНЫХ ИГР. In: Trudy Instituta Matematiki i Mekhaniki UrO RAN. 2019 ; Vol. 25, No. 1. pp. 166-173.

BibTeX

@article{524fef0dd8624ffa92b1c3e9d18b96ed,
title = "ДВУХУРОВНЕВАЯ КООПЕРАЦИЯ В ОДНОМ КЛАССЕ НЕАНТАГОНИСТИЧЕСКИХ ДИФФЕРЕНЦИАЛЬНЫХ ИГР",
abstract = "A two-level game is considered. At the first level, the set of players N is partitioned into coalitions Si ⊂ N, i = 1, . . ., m, such that Si ∩ Sj = ∅ for i 6= j and each coalition plays against other coalitions a non-zero-sum cooperative differential game with prescribed duration and nontransferable payoffs. At the second level, within each coalition, the players are engaged in a cooperative differential game with prescribed duration and transferrable payoffs. The concept of solution is proposed for this type of two-level games. The properties of a solution, namely, its time consistency or dynamic stability, are studied.",
keywords = "Coalition partition, Cooperative differential game with transferable payoffs, Pareto optimality, Payoff distribution procedure, Time consistency",
author = "Petrosyan, {Leon Aganesovich} and Yeung, {David W.K.}",
year = "2019",
month = jan,
day = "1",
doi = "10.21538/0134-4889-2019-25-1-166-173",
language = "русский",
volume = "25",
pages = "166--173",
journal = "ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН",
issn = "0134-4889",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН ",
number = "1",

}

RIS

TY - JOUR

T1 - ДВУХУРОВНЕВАЯ КООПЕРАЦИЯ В ОДНОМ КЛАССЕ НЕАНТАГОНИСТИЧЕСКИХ ДИФФЕРЕНЦИАЛЬНЫХ ИГР

AU - Petrosyan, Leon Aganesovich

AU - Yeung, David W.K.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A two-level game is considered. At the first level, the set of players N is partitioned into coalitions Si ⊂ N, i = 1, . . ., m, such that Si ∩ Sj = ∅ for i 6= j and each coalition plays against other coalitions a non-zero-sum cooperative differential game with prescribed duration and nontransferable payoffs. At the second level, within each coalition, the players are engaged in a cooperative differential game with prescribed duration and transferrable payoffs. The concept of solution is proposed for this type of two-level games. The properties of a solution, namely, its time consistency or dynamic stability, are studied.

AB - A two-level game is considered. At the first level, the set of players N is partitioned into coalitions Si ⊂ N, i = 1, . . ., m, such that Si ∩ Sj = ∅ for i 6= j and each coalition plays against other coalitions a non-zero-sum cooperative differential game with prescribed duration and nontransferable payoffs. At the second level, within each coalition, the players are engaged in a cooperative differential game with prescribed duration and transferrable payoffs. The concept of solution is proposed for this type of two-level games. The properties of a solution, namely, its time consistency or dynamic stability, are studied.

KW - Coalition partition

KW - Cooperative differential game with transferable payoffs

KW - Pareto optimality

KW - Payoff distribution procedure

KW - Time consistency

UR - http://www.scopus.com/inward/record.url?scp=85078222281&partnerID=8YFLogxK

U2 - 10.21538/0134-4889-2019-25-1-166-173

DO - 10.21538/0134-4889-2019-25-1-166-173

M3 - статья

AN - SCOPUS:85078222281

VL - 25

SP - 166

EP - 173

JO - ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН

JF - ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН

SN - 0134-4889

IS - 1

ER -

ID: 51528809