ON CLASS OF NON-TRANSFERABLE UTILITY COOPERATIVE DIFFERENTIAL GAMES WITH CONTINUOUS UPDATING

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ON CLASS OF NON-TRANSFERABLE UTILITY COOPERATIVE DIFFERENTIAL GAMES WITH CONTINUOUS UPDATING. / Wang, Zeyang ; Petrosian, Ovanes.

In: Journal of Dynamics and Games, Vol. 7, No. 4, 10.2020, p. 291-302.

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

BibTeX

@article{ae25d05b9ae148c585544acde8ffdbee,

title = "ON CLASS OF NON-TRANSFERABLE UTILITY COOPERATIVE DIFFERENTIAL GAMES WITH CONTINUOUS UPDATING",

abstract = "This paper considers and describes the class of cooperative differ- ential games with the non-transferable utility and continuous updating. It is the first detailed paper about the application of continuous updating approach to the non-transferable utility differential games. The process of how to construct Pareto optimal strategy with continuous updating and Pareto trajectory is described. Another important contribution is that the property of subgame consistency is adopted for the class of games with continuous updating. The resource extraction game model is used as an example. The Pareto optimal strategies and corresponding trajectory are constructed, and the set of Pareto optimal strategies satisfying the subgame consistency property is presented. The results of numerical simulation are demonstrated in the Matlab environment, and the conclusion is drawn.",

keywords = "Continuous updating, Cooperative games, Differential games, Non-transferable, Subgame consistency",

author = "Zeyang Wang and Ovanes Petrosian",

note = "Funding Information: 2020 Mathematics Subject Classification. Primary: 91A12, 91A23; Secondary: 91A80. Key words and phrases. Non-transferable, Cooperative games, Differential games, Continuous updating, Subgame consistency. Research of the second author is supported by a grant from the Russian Science Foundation (Project No 18-71-00081). ∗ Corresponding author: Ovanes Petrosian. Publisher Copyright: {\textcopyright}American Institute of Mathematical Sciences Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

month = oct,

doi = "10.3934/jdg.2020020",

language = "English",

volume = "7",

pages = "291--302",

journal = "Journal of Dynamics and Games",

issn = "2164-6066",

publisher = "American Institute of Mathematical Sciences",

number = "4",

}

RIS

TY - JOUR

T1 - ON CLASS OF NON-TRANSFERABLE UTILITY COOPERATIVE DIFFERENTIAL GAMES WITH CONTINUOUS UPDATING

AU - Wang, Zeyang

AU - Petrosian, Ovanes

N1 - Funding Information: 2020 Mathematics Subject Classification. Primary: 91A12, 91A23; Secondary: 91A80. Key words and phrases. Non-transferable, Cooperative games, Differential games, Continuous updating, Subgame consistency. Research of the second author is supported by a grant from the Russian Science Foundation (Project No 18-71-00081). ∗ Corresponding author: Ovanes Petrosian. Publisher Copyright: ©American Institute of Mathematical Sciences Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/10

Y1 - 2020/10

N2 - This paper considers and describes the class of cooperative differ- ential games with the non-transferable utility and continuous updating. It is the first detailed paper about the application of continuous updating approach to the non-transferable utility differential games. The process of how to construct Pareto optimal strategy with continuous updating and Pareto trajectory is described. Another important contribution is that the property of subgame consistency is adopted for the class of games with continuous updating. The resource extraction game model is used as an example. The Pareto optimal strategies and corresponding trajectory are constructed, and the set of Pareto optimal strategies satisfying the subgame consistency property is presented. The results of numerical simulation are demonstrated in the Matlab environment, and the conclusion is drawn.

AB - This paper considers and describes the class of cooperative differ- ential games with the non-transferable utility and continuous updating. It is the first detailed paper about the application of continuous updating approach to the non-transferable utility differential games. The process of how to construct Pareto optimal strategy with continuous updating and Pareto trajectory is described. Another important contribution is that the property of subgame consistency is adopted for the class of games with continuous updating. The resource extraction game model is used as an example. The Pareto optimal strategies and corresponding trajectory are constructed, and the set of Pareto optimal strategies satisfying the subgame consistency property is presented. The results of numerical simulation are demonstrated in the Matlab environment, and the conclusion is drawn.

KW - Continuous updating

KW - Cooperative games

KW - Differential games

KW - Non-transferable

KW - Subgame consistency

UR - http://www.scopus.com/inward/record.url?scp=85096308833&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4af60ae9-8757-3c53-a6fb-653222e33467/

U2 - 10.3934/jdg.2020020

DO - 10.3934/jdg.2020020

M3 - Article

AN - SCOPUS:85096308833

VL - 7

SP - 291

EP - 302

JO - Journal of Dynamics and Games

JF - Journal of Dynamics and Games

SN - 2164-6066

IS - 4

ER -

ID: 72062768