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A Game Theoretical Model for Location of Terror Response Facilities under Capacitated Resources

This paper is concerned with the effect of capacity constraints on the locations of terror response facilities. We assume that the state has limited resources, and multiple facilities may be involved in the response until the demand is satisfied consequently. We formulate a leader-follower game mode...

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Detalles Bibliográficos
Autores principales: Meng, Lingpeng, Kang, Qi, Han, Chuanfeng, Xu, Weisheng, Wu, Qidi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3891240/
https://www.ncbi.nlm.nih.gov/pubmed/24459446
http://dx.doi.org/10.1155/2013/742845
Descripción
Sumario:This paper is concerned with the effect of capacity constraints on the locations of terror response facilities. We assume that the state has limited resources, and multiple facilities may be involved in the response until the demand is satisfied consequently. We formulate a leader-follower game model between the state and the terrorist and prove the existence and uniqueness of the Nash equilibrium. An integer linear programming is proposed to obtain the equilibrium results when the facility number is fixed. The problem is demonstrated by a case study of the 19 districts of Shanghai, China.