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A membrane computing approach to the generalized Nash equilibrium.

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Title: A membrane computing approach to the generalized Nash equilibrium.
Authors: Luque-Cerpa, Alejandro1 (AUTHOR) luque@chalmers.se, Gutiérrez-Naranjo, Miguel Á.2 (AUTHOR) magutier@us.es
Source: Natural Computing. Jun2025, Vol. 24 Issue 2, p321-336. 16p.
Subjects: Nash equilibrium, Euler method, Game theory, Electricity markets, Wireless communications
Abstract: Generalized Nash Equilibrium is an extended version of the standard Nash Equilibrium with important implications in real-life problems such as economics, wireless communication, the electricity market, or engineering among other areas. In this paper, we propose a first approach to computing Generalized Nash Equilibria using Membrane Computing techniques. We model an efficient P system that, based on Euler's method, computes approximations of Generalized Nash Equilibria of population games under Brown–von Neumann–Nash dynamics, bridging both areas and opening a door for a flow of problems and solutions in both directions. [ABSTRACT FROM AUTHOR]
Copyright of Natural Computing 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.)
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  Data: Generalized Nash Equilibrium is an extended version of the standard Nash Equilibrium with important implications in real-life problems such as economics, wireless communication, the electricity market, or engineering among other areas. In this paper, we propose a first approach to computing Generalized Nash Equilibria using Membrane Computing techniques. We model an efficient P system that, based on Euler's method, computes approximations of Generalized Nash Equilibria of population games under Brown–von Neumann–Nash dynamics, bridging both areas and opening a door for a flow of problems and solutions in both directions. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Natural Computing 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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        Value: 10.1007/s11047-025-10014-z
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      – Code: eng
        Text: English
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      – SubjectFull: Nash equilibrium
        Type: general
      – SubjectFull: Euler method
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      – SubjectFull: Game theory
        Type: general
      – SubjectFull: Electricity markets
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      – SubjectFull: Wireless communications
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      – TitleFull: A membrane computing approach to the generalized Nash equilibrium.
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              Text: Jun2025
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