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Revisiting a game theoretic framework for the robust railway network design against intentional attacks

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  • Perea, Federico
  • Puerto, Justo

Abstract

This paper discusses and extends some competitive aspects of the games proposed in an earlier work, where a robust railway network design problem was proposed as a non-cooperative zero-sum game in normal form between a designer/operator and an attacker. Due to the importance of the order of play and the information available to the players at the moment of their decisions, we here extend those previous models by proposing a formulation of this situation as a dynamic game. Besides, we propose a new mathematical programming model that optimizes both the network design and the allocation of security resources over the network. The paper also proposes a model to distribute security resources over an already existing railway network in order to minimize the negative effects of an intentional attack. For the sake of readability, all concepts are introduced with the help of an illustrative example.

Suggested Citation

  • Perea, Federico & Puerto, Justo, 2013. "Revisiting a game theoretic framework for the robust railway network design against intentional attacks," European Journal of Operational Research, Elsevier, vol. 226(2), pages 286-292.
    • Handle: RePEc:eee:ejores:v:226:y:2013:i:2:p:286-292
    DOI: 10.1016/j.ejor.2012.11.015
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    References listed on IDEAS

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    1. Vicki Bier & Santiago Oliveros & Larry Samuelson, 2007. "Choosing What to Protect: Strategic Defensive Allocation against an Unknown Attacker," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(4), pages 563-587, August.
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    Cited by:

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    5. Qingqing Zhai & Rui Peng & Jun Zhuang, 2020. "Defender–Attacker Games with Asymmetric Player Utilities," Risk Analysis, John Wiley & Sons, vol. 40(2), pages 408-420, February.
    6. Mo, Huadong & Xie, Min & Levitin, Gregory, 2015. "Optimal resource distribution between protection and redundancy considering the time and uncertainties of attacks," European Journal of Operational Research, Elsevier, vol. 243(1), pages 200-210.
    7. Jin, Jian Gang & Lu, Linjun & Sun, Lijun & Yin, Jingbo, 2015. "Optimal allocation of protective resources in urban rail transit networks against intentional attacks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 73-87.

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