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Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value

Author

Listed:
  • Jun Su

    (School of Science, Xi’an University of Science and Technology, Xi’an 710054, Shaanxi, China)

  • Yuan Liang

    (School of Science, Xi’an University of Science and Technology, Xi’an 710054, Shaanxi, China)

  • Guangmin Wang

    (School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China)

  • Genjiu Xu

    (School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China)

Abstract

In this paper, we provide cooperative and non-cooperative interpretations of the Shapley–Solidarity value for cooperative games with coalition structure. Firstly, we present two new characterizations of this value based on intracoalitional quasi-balanced contributions property. Secondly, we study a potential function of the Shapley–Solidarity value. Finally, we propose a new bidding mechanism for the Solidarity value and then apply the result to the Shapley–Solidarity value.

Suggested Citation

  • Jun Su & Yuan Liang & Guangmin Wang & Genjiu Xu, 2020. "Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value," Mathematics, MDPI, vol. 8(11), pages 1-20, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1965-:d:440568
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    References listed on IDEAS

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