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Sharing the surplus and proportional values

Author

Listed:
  • Zhengxing Zou

    (Beijing Jiaotong University
    Vrije Universiteit Amsterdam)

  • René Brink

    (Vrije Universiteit Amsterdam)

  • Yukihiko Funaki

    (Waseda University)

Abstract

We introduce a family of proportional surplus division values for TU-games. Each value first assigns to each player a compromise between her stand-alone worth and the average stand-alone worths over all players, and then allocates the remaining worth among the players in proportion to their stand-alone worths. This family contains the proportional division value and the new egalitarian proportional surplus division value as two special cases. We provide characterizations for this family of values, as well as for each single value in this family.

Suggested Citation

  • Zhengxing Zou & René Brink & Yukihiko Funaki, 2022. "Sharing the surplus and proportional values," Theory and Decision, Springer, vol. 93(1), pages 185-217, July.
    • Handle: RePEc:kap:theord:v:93:y:2022:i:1:d:10.1007_s11238-021-09840-1
    DOI: 10.1007/s11238-021-09840-1
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    References listed on IDEAS

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    Cited by:

    1. Zhang, Li & Xu, Genjiu & Sun, Hao & Li, Wenzhong, 2023. "Players’ dummification and the dummified egalitarian non-separable contribution value," Economics Letters, Elsevier, vol. 226(C).

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