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Zero-sum games subject to uncertain stochastic noncausal systems considering polynomial control functions.

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Title: Zero-sum games subject to uncertain stochastic noncausal systems considering polynomial control functions.
Authors: Chen, Xin1 (AUTHOR), Wang, Yan1 (AUTHOR), Yuan, Dongmei2 (AUTHOR) ysuydm@163.com, Shao, Yu3 (AUTHOR)
Source: International Journal of General Systems. May2025, Vol. 54 Issue 4, p463-498. 36p.
Subjects: Stochastic difference equations, Uncertainty (Information theory), Zero sum games, Stochastic systems, Systems theory
Abstract: An uncertain stochastic noncausal system (USNS) is an uncertain stochastic singular system that is expected to be regular but not impulse-free. This study investigates zero-sum games (ZSGs) under the constraint of nonlinear uncertain stochastic noncausal systems (USNSs) considering polynomial control functions. Firstly, a method is introduced to convert USNSs into subsystems, including forward uncertain stochastic difference equations as well as backward uncertain stochastic difference equations. Equilibrium equations are then derived to determine the saddle-point equilibrium solution of the zero-sum game (ZSG) for USNSs. Subsequently, a unified framework is developed to find the saddle-point equilibrium and equilibrium value of the ZSG. Additionally, a numerical example and an analysis of the treatment of industrial wastewater are provided to demonstrate the effectiveness of the proposed framework. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of General Systems is the property of Taylor & Francis Ltd 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.)
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  Data: Zero-sum games subject to uncertain stochastic noncausal systems considering polynomial control functions.
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  Data: <searchLink fieldCode="AR" term="%22Chen%2C+Xin%22">Chen, Xin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Yan%22">Wang, Yan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yuan%2C+Dongmei%22">Yuan, Dongmei</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> ysuydm@163.com</i><br /><searchLink fieldCode="AR" term="%22Shao%2C+Yu%22">Shao, Yu</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+General+Systems%22">International Journal of General Systems</searchLink>. May2025, Vol. 54 Issue 4, p463-498. 36p.
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: An uncertain stochastic noncausal system (USNS) is an uncertain stochastic singular system that is expected to be regular but not impulse-free. This study investigates zero-sum games (ZSGs) under the constraint of nonlinear uncertain stochastic noncausal systems (USNSs) considering polynomial control functions. Firstly, a method is introduced to convert USNSs into subsystems, including forward uncertain stochastic difference equations as well as backward uncertain stochastic difference equations. Equilibrium equations are then derived to determine the saddle-point equilibrium solution of the zero-sum game (ZSG) for USNSs. Subsequently, a unified framework is developed to find the saddle-point equilibrium and equilibrium value of the ZSG. Additionally, a numerical example and an analysis of the treatment of industrial wastewater are provided to demonstrate the effectiveness of the proposed framework. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of General Systems is the property of Taylor & Francis Ltd 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:
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      – Type: doi
        Value: 10.1080/03081079.2024.2406947
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      – Code: eng
        Text: English
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        PageCount: 36
        StartPage: 463
    Subjects:
      – SubjectFull: Stochastic difference equations
        Type: general
      – SubjectFull: Uncertainty (Information theory)
        Type: general
      – SubjectFull: Zero sum games
        Type: general
      – SubjectFull: Stochastic systems
        Type: general
      – SubjectFull: Systems theory
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            – D: 01
              M: 05
              Text: May2025
              Type: published
              Y: 2025
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            – TitleFull: International Journal of General Systems
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