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An Optimization Characterization of the upper optimal complaint value

Author

Listed:
  • Dongshuang Hou

    (Department of Applied Mathematics [Twente] - University of Twente)

  • Aymeric Lardon

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

Abstract

This article introduces the upper optimal complaint value for TU-games. The value is characterized by lexicographically minimizing a maximal complaint vector. Interestingly, this value coincides with EANSC value and (pre)-nucleolus for some classes of TU-games.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Dongshuang Hou & Aymeric Lardon, 2020. "An Optimization Characterization of the upper optimal complaint value," Post-Print halshs-02417827, HAL.
    • Handle: RePEc:hal:journl:halshs-02417827
    DOI: 10.1016/j.econlet.2019.108864
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    References listed on IDEAS

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    1. Moulin, Herve, 1985. "The separability axiom and equal-sharing methods," Journal of Economic Theory, Elsevier, vol. 36(1), pages 120-148, June.
    2. Mitsuo Suzuki & Mikio Nakayama, 1976. "The Cost Assignment of the Cooperative Water Resource Development: A Game Theoretical Approach," Management Science, INFORMS, vol. 22(10), pages 1081-1086, June.
    3. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Morton Davis & Michael Maschler, 1965. "The kernel of a cooperative game," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 12(3), pages 223-259, September.
    5. Dongshuang Hou & Panfei Sun & Genjiu Xu & Theo Driessen, 2018. "Compromise for the complaint: an optimization approach to the ENSC value and the CIS value," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(4), pages 571-579, April.
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