IDP-core: Novel cooperative solution for differential games

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IDP-core: Novel cooperative solution for differential games. / Petrosian, Ovanes; Zakharov, Victor.

In: Mathematics, Vol. 8, No. 5, 721, 01.05.2020.

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

Author

Petrosian, Ovanes ; Zakharov, Victor. / IDP-core: Novel cooperative solution for differential games. In: Mathematics. 2020 ; Vol. 8, No. 5.

BibTeX

@article{9ebea3994e1645478cffa475ae8ad250,

title = "IDP-core: Novel cooperative solution for differential games",

abstract = "IDP-core is a new cooperative solution for dynamic and differential games. A novel approach of constructing solutions for dynamic and differential games was employed in which the time consistency property was used as the main axiom property for the cooperative solution. Another new and important approach used for constructing IDP-core is the IDP dominance, which allows to select undominated imputation distribution procedures and construct the cooperative solution or imputation set. This approach shows the potential of using the time consistency property as the main axiom for solutions in various fields such as Social Choice and Mechanism Design. The overall procedure for defining the cooperative solution is also new since IDP-core was constructed using imputation distribution procedures but not by using imputations directly.",

keywords = "Cooperative differential games, Differential games, IDP dominance, IDP-core, Time consistency, Time Consistency, differential games, cooperative differential games",

author = "Ovanes Petrosian and Victor Zakharov",

note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",

year = "2020",

month = may,

day = "1",

doi = "10.3390/MATH8050721",

language = "English",

volume = "8",

journal = "Mathematics",

issn = "2227-7390",

publisher = "MDPI AG",

number = "5",

}

RIS

TY - JOUR

T1 - IDP-core: Novel cooperative solution for differential games

AU - Petrosian, Ovanes

AU - Zakharov, Victor

PY - 2020/5/1

Y1 - 2020/5/1

N2 - IDP-core is a new cooperative solution for dynamic and differential games. A novel approach of constructing solutions for dynamic and differential games was employed in which the time consistency property was used as the main axiom property for the cooperative solution. Another new and important approach used for constructing IDP-core is the IDP dominance, which allows to select undominated imputation distribution procedures and construct the cooperative solution or imputation set. This approach shows the potential of using the time consistency property as the main axiom for solutions in various fields such as Social Choice and Mechanism Design. The overall procedure for defining the cooperative solution is also new since IDP-core was constructed using imputation distribution procedures but not by using imputations directly.

AB - IDP-core is a new cooperative solution for dynamic and differential games. A novel approach of constructing solutions for dynamic and differential games was employed in which the time consistency property was used as the main axiom property for the cooperative solution. Another new and important approach used for constructing IDP-core is the IDP dominance, which allows to select undominated imputation distribution procedures and construct the cooperative solution or imputation set. This approach shows the potential of using the time consistency property as the main axiom for solutions in various fields such as Social Choice and Mechanism Design. The overall procedure for defining the cooperative solution is also new since IDP-core was constructed using imputation distribution procedures but not by using imputations directly.

KW - Cooperative differential games

KW - Differential games

KW - IDP dominance

KW - IDP-core

KW - Time consistency

KW - Time Consistency

KW - differential games

KW - cooperative differential games

UR - http://www.scopus.com/inward/record.url?scp=85085606240&partnerID=8YFLogxK

U2 - 10.3390/MATH8050721

DO - 10.3390/MATH8050721

M3 - Article

AN - SCOPUS:85085606240

VL - 8

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 5

M1 - 721

ER -

ID: 53820165