A membrane computing approach to the generalized Nash equilibrium

Generalized Nash Equilibrium is an extended version of the standard Nash Equilibrium with important implications in reallife problems such as economics, wireless communication, the electricity market, or engineering among other areas. In this paper, we propose a first approach to computing Generaliz...

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Detalhes bibliográficos
Autores: Luque Cerpa, Alejandro, Gutiérrez Naranjo, Miguel Ángel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/172816
Acesso em linha:https://hdl.handle.net/11441/172816
https://doi.org/10.1007/s11047-025-10014-z
Access Level:acceso abierto
Palavra-chave:Membrane computing
Generalized Nash equilibrium
Evolutionary game theory
Descrição
Resumo:Generalized Nash Equilibrium is an extended version of the standard Nash Equilibrium with important implications in reallife 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.