A membrane computing approach to the generalized Nash equilibrium.
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| Title: | A membrane computing approach to the generalized Nash equilibrium. |
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| 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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 15677818 |
| DOI: | 10.1007/s11047-025-10014-z |
