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Using the Shapley Value to Mitigate the Emergency Rescue Risk for Hazardous Materials

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  • Ginger Y. Ke

    (Memorial University of Newfoundland)

  • Xun-Feng Hu

    (Guangzhou University)

  • Xiao-Long Xue

    (Guangzhou University)

Abstract

Due to the catastrophic consequence of possible incidents caused by the storage and transportation of hazardous materials, effectively mitigating such risks is of vital importance. This paper proposes a gradual-coverage game describing the situation of locating emergency facilities, to which the Shapley value can be used to evaluate the candidate locations. To be specific, the rescue risk and utility are assessed in terms of the response time to construct a gradual-coverage game. Then, we characterize the Shapley value by proposing two new axioms. Furthermore, to ensure that the analytical model can be practically applied to real-world situations, an algorithm for locating emergency facilities is designed based on the properties of the Shapley value, which is then tested for efficiency.

Suggested Citation

  • Ginger Y. Ke & Xun-Feng Hu & Xiao-Long Xue, 2022. "Using the Shapley Value to Mitigate the Emergency Rescue Risk for Hazardous Materials," Group Decision and Negotiation, Springer, vol. 31(1), pages 137-152, February.
  • Handle: RePEc:spr:grdene:v:31:y:2022:i:1:d:10.1007_s10726-021-09760-z
    DOI: 10.1007/s10726-021-09760-z
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    References listed on IDEAS

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    1. Norde, Henk & Fragnelli, Vito & Garcia-Jurado, Ignacio & Patrone, Fioravante & Tijs, Stef, 2002. "Balancedness of infrastructure cost games," European Journal of Operational Research, Elsevier, vol. 136(3), pages 635-654, February.
    2. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    3. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Berman, Oded & Krass, Dmitry & Drezner, Zvi, 2003. "The gradual covering decay location problem on a network," European Journal of Operational Research, Elsevier, vol. 151(3), pages 474-480, December.
    5. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    6. Vito Fragnelli & Stefano Gagliardo & Fabio Gastaldi, 2017. "A Game Theoretic Approach to an Emergency Units Location Problem," Springer Optimization and Its Applications, in: Lina Mallozzi & Egidio D'Amato & Panos M. Pardalos (ed.), Spatial Interaction Models, pages 171-191, Springer.
    7. Vito Fragnelli & Stefano Gagliardo, 2013. "Open Problems In Cooperative Location Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-13.
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    Cited by:

    1. Kaigong Zhao & Xiaolei Zhang & Hui Wang & Yongling Gai & Haiyan Wang, 2022. "Allocation of Resources for Emergency Response to Coal-to-Oil Hazardous Chemical Accidents under Railway Transportation Mode," Sustainability, MDPI, vol. 14(24), pages 1-15, December.

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