Shapley Value For Differential Network Games

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Shapley Value For Differential Network Games : Theory And Application. / Petrosyan, Leon; Yeung, David.

In: Journal of Dynamics and Games, Vol. 8, No. 2, 04.2021, p. 151-166.

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

Author

Petrosyan, Leon ; Yeung, David. / Shapley Value For Differential Network Games : Theory And Application. In: Journal of Dynamics and Games. 2021 ; Vol. 8, No. 2. pp. 151-166.

BibTeX

@article{91cfe7d195d04183a07a72db05508453,

title = "Shapley Value For Differential Network Games: Theory And Application",

abstract = "This paper presents a time-consistent dynamic Shapley value imputation for a class of differential network games. A novel form for measuring the worth of coalitions - named as cooperative-trajectory characteristic function - is developed for the Shapley value imputation. This new class of characteristic functions is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minmax confrontation or the Nash non-cooperative stance. The resultant dynamic Shapley value imputation yields a new cooperative solution in differential network games.",

keywords = "differential network game, Shapley value, time consistency",

author = "Leon Petrosyan and David Yeung",

note = "Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences",

year = "2021",

month = apr,

doi = "10.3934/jdg.2020021",

language = "English",

volume = "8",

pages = "151--166",

journal = "Journal of Dynamics and Games",

issn = "2164-6066",

publisher = "American Institute of Mathematical Sciences",

number = "2",

}

RIS

TY - JOUR

T1 - Shapley Value For Differential Network Games

T2 - Theory And Application

AU - Petrosyan, Leon

AU - Yeung, David

N1 - Publisher Copyright: © American Institute of Mathematical Sciences

PY - 2021/4

Y1 - 2021/4

N2 - This paper presents a time-consistent dynamic Shapley value imputation for a class of differential network games. A novel form for measuring the worth of coalitions - named as cooperative-trajectory characteristic function - is developed for the Shapley value imputation. This new class of characteristic functions is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minmax confrontation or the Nash non-cooperative stance. The resultant dynamic Shapley value imputation yields a new cooperative solution in differential network games.

AB - This paper presents a time-consistent dynamic Shapley value imputation for a class of differential network games. A novel form for measuring the worth of coalitions - named as cooperative-trajectory characteristic function - is developed for the Shapley value imputation. This new class of characteristic functions is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minmax confrontation or the Nash non-cooperative stance. The resultant dynamic Shapley value imputation yields a new cooperative solution in differential network games.

KW - differential network game

KW - Shapley value

KW - time consistency

UR - http://www.scopus.com/inward/record.url?scp=85105791177&partnerID=8YFLogxK

U2 - 10.3934/jdg.2020021

DO - 10.3934/jdg.2020021

M3 - Article

AN - SCOPUS:85105791177

VL - 8

SP - 151

EP - 166

JO - Journal of Dynamics and Games

JF - Journal of Dynamics and Games

SN - 2164-6066

IS - 2

ER -

ID: 61121206