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Consistency of subcore and the problem of minimum reduction. / Zakharov, V. V.; Dementieva, M. B.

In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 4, 01.12.2003, p. 28-33.

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

Harvard

Zakharov, VV & Dementieva, MB 2003, 'Consistency of subcore and the problem of minimum reduction', Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, no. 4, pp. 28-33.

APA

Zakharov, V. V., & Dementieva, M. B. (2003). Consistency of subcore and the problem of minimum reduction. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, (4), 28-33.

Vancouver

Zakharov VV, Dementieva MB. Consistency of subcore and the problem of minimum reduction. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 2003 Dec 1;(4):28-33.

Author

Zakharov, V. V. ; Dementieva, M. B. / Consistency of subcore and the problem of minimum reduction. In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 2003 ; No. 4. pp. 28-33.

BibTeX

@article{18a27b49db4f42d9adb5be3e50a2c666,
title = "Consistency of subcore and the problem of minimum reduction",
abstract = "In this paper methods of minimal reduction of TU-games are considered. This methods can be used for a regularization of dynamic cooperative games. In the first part of the paper authors formulate a condition for consistency of the subcore in TU-game with respect to the modified Davis-Maschler reduction of the game. In the second part the problem of minimal reduction of the game is formulated and treated. For a given class of TU-games the solution of this problem is proposed for the core and DM-reduction. It is shown that the number of the players removed on the base of MDM-reduction is not more than in the case of DM-reduction.",
author = "Zakharov, {V. V.} and Dementieva, {M. B.}",
year = "2003",
month = dec,
day = "1",
language = "English",
pages = "28--33",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "4",

}

RIS

TY - JOUR

T1 - Consistency of subcore and the problem of minimum reduction

AU - Zakharov, V. V.

AU - Dementieva, M. B.

PY - 2003/12/1

Y1 - 2003/12/1

N2 - In this paper methods of minimal reduction of TU-games are considered. This methods can be used for a regularization of dynamic cooperative games. In the first part of the paper authors formulate a condition for consistency of the subcore in TU-game with respect to the modified Davis-Maschler reduction of the game. In the second part the problem of minimal reduction of the game is formulated and treated. For a given class of TU-games the solution of this problem is proposed for the core and DM-reduction. It is shown that the number of the players removed on the base of MDM-reduction is not more than in the case of DM-reduction.

AB - In this paper methods of minimal reduction of TU-games are considered. This methods can be used for a regularization of dynamic cooperative games. In the first part of the paper authors formulate a condition for consistency of the subcore in TU-game with respect to the modified Davis-Maschler reduction of the game. In the second part the problem of minimal reduction of the game is formulated and treated. For a given class of TU-games the solution of this problem is proposed for the core and DM-reduction. It is shown that the number of the players removed on the base of MDM-reduction is not more than in the case of DM-reduction.

UR - http://www.scopus.com/inward/record.url?scp=8644290164&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:8644290164

SP - 28

EP - 33

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

SN - 1025-3106

IS - 4

ER -

ID: 40898212