The Relationship between the Core and the Modified Cores of a Dynamic Game

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The Relationship between the Core and the Modified Cores of a Dynamic Game. / Sedakov, Artem ; Sun, Hao.

In: Mathematics, Vol. 8, No. 6, 1023, 01.06.2020.

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

BibTeX

@article{f7a63f2bbf7a4ba8840c9ceb6cb1910a,

title = "The Relationship between the Core and the Modified Cores of a Dynamic Game",

abstract = "The core as a solution to a cooperative game has the advantage that any imputation from it is undominated. In cooperative dynamic games, there is a known transformation that demonstrates another advantage of the core-time consistency-keeping players adhering to it during the course of the game. Such a transformation may change the solution, so it is essential that the new core share common imputations with the original one. In this paper, we will establish the relationship between the original core of a dynamic game and the core after the transformation, and demonstrate that the latter can be a subset of the former.",

keywords = "Cooperation, Discrete-time games, Linear transformation, The core, CONSISTENT CORE, linear transformation, the core, COOPERATION, discrete-time games, cooperation",

author = "Artem Sedakov and Hao Sun",

note = "Funding Information: Funding: This research was supported by the Shandong Province “Double-Hundred Talent Plan” (project No. WST2017009). Publisher Copyright: {\textcopyright} 2020 by the authors. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

month = jun,

day = "1",

doi = "10.3390/math8061023",

language = "Английский",

volume = "8",

journal = "Mathematics",

issn = "2227-7390",

publisher = "MDPI AG",

number = "6",

}

RIS

TY - JOUR

T1 - The Relationship between the Core and the Modified Cores of a Dynamic Game

AU - Sedakov, Artem

AU - Sun, Hao

N1 - Funding Information: Funding: This research was supported by the Shandong Province “Double-Hundred Talent Plan” (project No. WST2017009). Publisher Copyright: © 2020 by the authors. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - The core as a solution to a cooperative game has the advantage that any imputation from it is undominated. In cooperative dynamic games, there is a known transformation that demonstrates another advantage of the core-time consistency-keeping players adhering to it during the course of the game. Such a transformation may change the solution, so it is essential that the new core share common imputations with the original one. In this paper, we will establish the relationship between the original core of a dynamic game and the core after the transformation, and demonstrate that the latter can be a subset of the former.

AB - The core as a solution to a cooperative game has the advantage that any imputation from it is undominated. In cooperative dynamic games, there is a known transformation that demonstrates another advantage of the core-time consistency-keeping players adhering to it during the course of the game. Such a transformation may change the solution, so it is essential that the new core share common imputations with the original one. In this paper, we will establish the relationship between the original core of a dynamic game and the core after the transformation, and demonstrate that the latter can be a subset of the former.

KW - Cooperation

KW - Discrete-time games

KW - Linear transformation

KW - The core

KW - CONSISTENT CORE

KW - linear transformation

KW - the core

KW - COOPERATION

KW - discrete-time games

KW - cooperation

UR - http://www.scopus.com/inward/record.url?scp=85087572704&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/11a24e58-dd6b-3271-9708-b062ea6a729c/

U2 - 10.3390/math8061023

DO - 10.3390/math8061023

M3 - статья

AN - SCOPUS:85087572704

VL - 8

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 6

M1 - 1023

ER -

ID: 60765468