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

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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.

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References

  • BBC (2014) Lac-megantic train explosion: three charged in quebec. Accessed: 04-30-2019 https://www.bbc.com/news/world-us-canada-27387287

  • BBC (2020) Beirut explosion: what we know so far. Accessed: 07-04-2021 https://www.bbc.com/news/world-middle-east-53668493

  • Berman O, Krass D, Drezner Z (2003) The gradual covering decay location problem on a network. Eur J Oper Res 151(3):474–480

    Article  Google Scholar 

  • Fragnelli V, Gagliardo S (2013) Open problems in cooperative location games. Int Game Theory Rev 15(03):1–13

    Google Scholar 

  • Fragnelli V, Gagliardo S, Gastaldi F (2017) A game theoretic approach to an emergency units location problem. Springer, Cham, pp 171–191

    Google Scholar 

  • List GF, Turnquist MA (1998) Routing and emergency-response-team siting for high-level radioactive waste shipments. IEEE Trans Eng Manag 45(2):141–152

    Article  Google Scholar 

  • Littlechild SC, Owen G (1973) A simple expression for the shapley value in a special case. Manage Sci 20(3):370–372

    Article  Google Scholar 

  • Mallozzi L (2007) Noncooperative facility location games. Oper Res Lett 35(2):151–154

    Article  Google Scholar 

  • Myerson RB (1977) Graphs and cooperation in games. Math Oper Res 2(3):225–229

    Article  Google Scholar 

  • Norde H, Fragnelli V, Garcia-Jurado I, Patrone F, Tijs S (2002) Balancedness of infrastructure cost games. Eur J Oper Res 136(3):635–654

    Article  Google Scholar 

  • Portland Fire and Rescue (2008) Standard of emergency response coverage https://www.portlandoregon.gov/fire/article/101052

  • Schmeidler D (1969) The nucleolus of a characteristic function game. SIAM J Appl Math 17(6):1163–1170

    Article  Google Scholar 

  • Shapley L (1953) A value for \(n\)-person games. In: Kuhn H, Tucher A (eds) Contributions to the theory of games. Princeton University Press, Princeton

    Google Scholar 

  • Tarkowski MK, Michalak TP, Rahwan T, Wooldridge M (2017) Game-theoretic network centrality: a review

  • Transportation Research Board (2011) A guide for assessing community emergency response needs and capabilities for hazardous materials releases. Hazardous material cooperative research program 5

  • Zhao J, Ke GY (2019) Optimizing emergency logistics for the offsite hazardous waste management. J Syst Sci Syst Eng 28:747–765

    Article  Google Scholar 

Download references

Acknowledgements

This research was partially supported by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada (Grant # RGPIN-2015-04013), grants from the National Natural Science Foundations of China (Grant Nos. 61803091 and 71901076), and grants from the National Social Science Fund of China (Grant Nos. 18ZDA043, NO.19VDL001).

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Authors and Affiliations

  1. Faculty of Business Administration, Memorial University of Newfoundland, Saint John’s, Canada

    Ginger Y. Ke

  2. School of Management, Guangzhou University, Guangzhou, China

    Xun-Feng Hu & Xiao-Long Xue

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  1. Ginger Y. Ke
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  2. Xun-Feng Hu
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  3. Xiao-Long Xue
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Correspondence to Xun-Feng Hu.

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This research was partially supported by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada (Grant # RGPIN-2015-04013), grants from the National Natural Science Foundations of China (Grant Nos. 61803091 and 71901076), and grants from the National Social Science Fund of China (Grant Nos. 18ZDA043, No.19VDL001)

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Ke, G.Y., Hu, XF. & Xue, XL. Using the Shapley Value to Mitigate the Emergency Rescue Risk for Hazardous Materials. Group Decis Negot 31, 137–152 (2022). https://doi.org/10.1007/s10726-021-09760-z

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