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A cross-monotonic cost-sharing scheme for the concave facility location game

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Abstract

In this paper, we present a cost-sharing scheme for the concave facility location game by exploring the concavity structure. We show that it is cross-monotonic and competitive, and recovers 1/3 fraction of the total cost.

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Authors and Affiliations

  1. Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People’s Republic of China

    Gaidi Li & Dachuan Xu

  2. Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing, 100044, People’s Republic of China

    Yu Li

  3. Department of Management Science and Engineering, School of Economics and Management, Southeast University, Nanjing, China

    Jia Shu

Authors
  1. Gaidi Li
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  2. Yu Li
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  3. Jia Shu
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  4. Dachuan Xu
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Corresponding author

Correspondence to Dachuan Xu.

Additional information

This paper has been presented in ICOTA8.

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Li, G., Li, Y., Shu, J. et al. A cross-monotonic cost-sharing scheme for the concave facility location game. J Glob Optim 56, 1325–1334 (2013). https://doi.org/10.1007/s10898-012-9852-0

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  • DOI: https://doi.org/10.1007/s10898-012-9852-0

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