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Further on Potential Differential Games and Its Applications in Multi-leader Multi-follower Differential Games.

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Title: Further on Potential Differential Games and Its Applications in Multi-leader Multi-follower Differential Games.
Authors: Ayele, Asmamaw Msgan1 (AUTHOR) asmamaw.misgan@aau.edu.et, Zewde, Addis Belete2 (AUTHOR) addis.belete@ddu.edu.et, Kassa, Semu Mitiku3 (AUTHOR) kassas@biust.ac.bw
Source: Journal of Optimization Theory & Applications. Jan2026, Vol. 208 Issue 1, p1-31. 31p.
Abstract: The problem of obtaining Nash equilibria for non-cooperative differential games has been challenging, specially when the problem definition contains general nonseparable terms. In this paper, we present a more general set of sufficient conditions for the existence of potential functions for non-cooperative open-loop differential games. Moreover, potential differential game formulations are used to propose a solution approach for multi-leader multi-follower (MLMF) open-loop differential games. In the procedure, MLMF open-loop differential games are transformed into bi-level open-loop optimal control problems, whose solutions are Stackelberg-Nash equilibria of the original differential game. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 190367294
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  Data: Further on Potential Differential Games and Its Applications in Multi-leader Multi-follower Differential Games.
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  Data: <searchLink fieldCode="AR" term="%22Ayele%2C+Asmamaw+Msgan%22">Ayele, Asmamaw Msgan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> asmamaw.misgan@aau.edu.et</i><br /><searchLink fieldCode="AR" term="%22Zewde%2C+Addis+Belete%22">Zewde, Addis Belete</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> addis.belete@ddu.edu.et</i><br /><searchLink fieldCode="AR" term="%22Kassa%2C+Semu+Mitiku%22">Kassa, Semu Mitiku</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> kassas@biust.ac.bw</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Optimization+Theory+%26+Applications%22">Journal of Optimization Theory & Applications</searchLink>. Jan2026, Vol. 208 Issue 1, p1-31. 31p.
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The problem of obtaining Nash equilibria for non-cooperative differential games has been challenging, specially when the problem definition contains general nonseparable terms. In this paper, we present a more general set of sufficient conditions for the existence of potential functions for non-cooperative open-loop differential games. Moreover, potential differential game formulations are used to propose a solution approach for multi-leader multi-follower (MLMF) open-loop differential games. In the procedure, MLMF open-loop differential games are transformed into bi-level open-loop optimal control problems, whose solutions are Stackelberg-Nash equilibria of the original differential game. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1007/s10957-025-02902-2
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      – Code: eng
        Text: English
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        PageCount: 31
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      – TitleFull: Further on Potential Differential Games and Its Applications in Multi-leader Multi-follower Differential Games.
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            NameFull: Ayele, Asmamaw Msgan
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            NameFull: Zewde, Addis Belete
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            NameFull: Kassa, Semu Mitiku
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            – D: 01
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              Text: Jan2026
              Type: published
              Y: 2026
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