Puerto Albandoz, J.; Perea Rojas Marcos, F. (2018). On minimax and Pareto optimal security payoffs in multicriteria games. Journal of Mathematical Analysis and Applications. 457(2):1634-1648. https://doi.org/10.1016/j.jmaa.2017.01.002
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/141455
Title:
|
On minimax and Pareto optimal security payoffs in multicriteria games
|
Author:
|
Puerto Albandoz, Justo
Perea Rojas Marcos, Federico
|
UPV Unit:
|
Universitat Politècnica de València. Departamento de Estadística e Investigación Operativa Aplicadas y Calidad - Departament d'Estadística i Investigació Operativa Aplicades i Qualitat
|
Issued date:
|
|
Abstract:
|
[EN] In this paper, we characterize minimax and Pareto-optimal security payoff vectors for general multicriteria zero-sum matrix games, using properties similar to the ones that have been used in the single criterion case. ...[+]
[EN] In this paper, we characterize minimax and Pareto-optimal security payoff vectors for general multicriteria zero-sum matrix games, using properties similar to the ones that have been used in the single criterion case. Our results show that these two solution concepts are rather similar, since they can be characterized with nearly the same sets of properties. Their main difference is the form of consistency that each solution concept satisfies. We also prove that both solution concepts can transform into each other, in their corresponding domains. (C) 2017 Elsevier Inc. All rights reserved.
[-]
|
Subjects:
|
Multicriteria games
,
Payoffs
,
Characterization
|
Copyrigths:
|
Reserva de todos los derechos
|
Source:
|
Journal of Mathematical Analysis and Applications. (issn:
0022-247X
)
|
DOI:
|
10.1016/j.jmaa.2017.01.002
|
Publisher:
|
Elsevier
|
Publisher version:
|
https://doi.org/10.1016/j.jmaa.2017.01.002
|
Project ID:
|
info:eu-repo/grantAgreement/MINECO//MTM2016-74983-C2-1-R/ES/Nuevos Desafíos Matemáticos en Problemas Logísticos y de Transporte Integrado sobre Redes Complejas: Diseño y Optimización/
info:eu-repo/grantAgreement/MINECO//MTM2013-46962-C2-2-P/ES/DESAFIOS MATEMATICOS EN EL DISEÑO Y OPTIMIZACION DE REDES COMPLEJAS: APLICACIONES./
info:eu-repo/grantAgreement/Junta de Andalucía//P10-FQM-5849/ES/Nuevos desafíos de la matemática combinatoria: Enfoques no estándares en optimización discreta y álgebra computacional. Aplicaciones/
|
Thanks:
|
We would like to thank Dr. Francisco R. Fernandez for his useful comments on earlier versions of this paper. The authors also want to acknowledge the financial support from grants FQM-5849 (Junta de Andalucia\FEDER) and ...[+]
We would like to thank Dr. Francisco R. Fernandez for his useful comments on earlier versions of this paper. The authors also want to acknowledge the financial support from grants FQM-5849 (Junta de Andalucia\FEDER) and MTM2016-74983-C02-01, MTM2013-46962-C02-01 (MICINN, Spain).
[-]
|
Type:
|
Artículo
|