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The Egalitarian Efficient Extension of the Aumann–Drèze Value

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  • Xun-Feng Hu

    (Guangzhou University)

  • Gen-Jiu Xu

    (Northwestern Polytechnical University)

  • Deng-Feng Li

    (Fuzhou University)

Abstract

In this paper, we propose a new efficient value for transferable utility cooperative games with a coalition structure. It first assigns to every player his Aumann–Drèze value and then allocates the remainder of the worth of the grand coalition among players equally. As it is identical with the Aumann–Drèze value for coalitional games with a singleton coalition structure, we call it the egalitarian efficient extension of the Aumann–Drèze value. We provide three axiomatizations of it and compare it with other well-known efficient coalitional values, especially the Owen value and the two-step Shapley value.

Suggested Citation

  • Xun-Feng Hu & Gen-Jiu Xu & Deng-Feng Li, 2019. "The Egalitarian Efficient Extension of the Aumann–Drèze Value," Journal of Optimization Theory and Applications, Springer, vol. 181(3), pages 1033-1052, June.
    • Handle: RePEc:spr:joptap:v:181:y:2019:i:3:d:10.1007_s10957-018-1440-0
    DOI: 10.1007/s10957-018-1440-0
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    References listed on IDEAS

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    Cited by:

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    3. Erfang Shan & Jilei Shi & Wenrong Lyu, 2023. "The efficient partition surplus Owen graph value," Annals of Operations Research, Springer, vol. 320(1), pages 379-392, January.
    4. Xun-Feng Hu, 2020. "The weighted Shapley-egalitarian value for cooperative games with a coalition structure," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 193-212, April.
    5. Jilei Shi & Lei Cai & Erfang Shan & Wenrong Lyu, 2022. "A value for cooperative games with coalition and probabilistic graph structures," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 646-671, April.
    6. J. M. Alonso-Meijide & J. Costa & I. García-Jurado & J. C. Gonçalves-Dosantos, 2020. "On egalitarian values for cooperative games with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 672-688, October.
    7. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.

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