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On the Banzhaf-like Value for Cooperative Games with Interval Payoffs

Author

Listed:
  • Chunqiao Tan

    (School of Business, Central South University, Yuelu District, Changsha 410083, China)

  • Wenrui Feng

    (School of Business, Central South University, Yuelu District, Changsha 410083, China)

  • Weibin Han

    (School of Economics and Management, South China Normal University, Guangzhou Higher Education Mega Center, No. 378, Waihuan Xi Road, Guangzhou 510006, China)

Abstract

By using Moore’s subtraction operator and a total order on the set of closed intervals, we introduce a new variation of the Banzhaf value for cooperative interval games called the interval Banzhaf-like value which may accommodate the shortcomings of the interval Banzhaf value. We first reveal the relation between this introduced value and the interval Banzhaf value. Then, we present two sets of properties that may be used to determine whether an interval value is median-indifferent to the interval Banzhaf-like value. Finally, in order to overcome the disadvantages of the interval Banzhaf-like value, we propose the contracted interval Banzhaf-like value and give an axiomatization of this proposed value.

Suggested Citation

  • Chunqiao Tan & Wenrui Feng & Weibin Han, 2020. "On the Banzhaf-like Value for Cooperative Games with Interval Payoffs," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:372-:d:329632
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    References listed on IDEAS

    as
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