An application of membrane computing to humanitarian relief via generalized Nash equilibrium

Natural and political disasters, including earthquakes, hurricanes, and tsunamis, but also migration and refugees crisis, need quick and coordinated responses in order to support vulnerable populations. In such disasters, nongovernmental organizations compete with each other for financial donations,...

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Detalles Bibliográficos
Autores: Luque Cerpa, Alejandro, Orellana Martín, David, Gutiérrez Naranjo, Miguel Ángel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/172817
Acceso en línea:https://hdl.handle.net/11441/172817
https://doi.org/10.1007/s41965-025-00187-y
Access Level:acceso abierto
Palabra clave:Membrane computing
Game theory
Nash equilibrium
Descripción
Sumario:Natural and political disasters, including earthquakes, hurricanes, and tsunamis, but also migration and refugees crisis, need quick and coordinated responses in order to support vulnerable populations. In such disasters, nongovernmental organizations compete with each other for financial donations, while people who need assistance suffer a lack of coordination, congestion in terms of logistics, and duplication of services. From a theoretical point of view, this problem can be formalized as a generalized Nash equilibrium (GNE) problem. This is a generalization of the Nash equilibrium problem, where the agents’ strategies are not fixed but depend on the other agents’ strategies. In this paper, we show that membrane computing can model humanitarian relief as a GNE problem. We propose a family of P systems that compute GNE in this context, and we illustrate their capabilities with Hurricane Katrina in 2005 as a case study.