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Axiomatizations and a Noncooperative Interpretation of the α-CIS Value

Author

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  • Genjiu Xu

    (Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China)

  • Han Dai

    (Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China)

  • Haobin Shi

    (School of Computer Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China)

Abstract

In economic allocation problems, egalitarianism and marginalism are two major thoughts to distribute the benefits of cooperation. The α-CIS value reconciles the two thoughts in some variable extent by a parameter α ∈ [0, 1]. The α-CIS value is the center of gravity of the corresponding α-imputation set given the α-imputation set is nonempty. From the cooperative perspective, we present several axiomatizations of the α-CIS value using α-individual rationality or α-dummifying player property. Finally, we provide a noncooperative interpretation of the α-CIS value by a bidding mechanism.

Suggested Citation

  • Genjiu Xu & Han Dai & Haobin Shi, 2015. "Axiomatizations and a Noncooperative Interpretation of the α-CIS Value," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-15.
    • Handle: RePEc:wsi:apjorx:v:32:y:2015:i:05:n:s0217595915500311
    DOI: 10.1142/S0217595915500311
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    References listed on IDEAS

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    1. René Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2016. "Consistency, population solidarity, and egalitarian solutions for TU-games," Theory and Decision, Springer, vol. 81(3), pages 427-447, September.
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    Cited by:

    1. Zhengxing Zou & Rene van den Brink, 2020. "Sharing the Surplus and Proportional Values," Tinbergen Institute Discussion Papers 20-014/II, Tinbergen Institute.
    2. Hu, Xun-Feng, 2019. "Coalitional surplus desirability and the equal surplus division value," Economics Letters, Elsevier, vol. 179(C), pages 1-4.
    3. Wenna Wang & Hao Sun & Rene (J.R.) van den Brink & Genjiu Xu, 2018. "The family of ideal values for cooperative games," Tinbergen Institute Discussion Papers 18-002/II, Tinbergen Institute.

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