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Process and optimization implementation of the $$\alpha $$ α -ENSC value

Author

Listed:
  • Panfei Sun

    (Northwestern Polytechnical University)

  • Dongshuang Hou

    (Northwestern Polytechnical University)

  • Hao Sun

    (Northwestern Polytechnical University)

  • Hui Zhang

    (Northwestern Polytechnical University)

Abstract

In this paper, we introduce a new value called $$\alpha $$ α -ENSC value which is a convex combination of egalitarian non-separable contribution value (ENSC value) and the equal division value (ED value). The $$\alpha $$ α -ENSC value reconciles two economic thoughts: egoism and altruism. We study an allocation process under the assumption that players are partially egocentric, and the final outcome happens to be the $$\alpha $$ α -ENSC value. The $$\alpha $$ α -ENSC value is also the optimal solution for corresponding optimization models under certain complaint criterion. Several new properties are proposed to characterize the $$\alpha $$ α -ENSC value, including $$\alpha $$ α -dual individual rationality, $$\alpha $$ α -egocentric inessential game property and grand marginal contribution monotonicity.

Suggested Citation

  • Panfei Sun & Dongshuang Hou & Hao Sun & Hui Zhang, 2017. "Process and optimization implementation of the $$\alpha $$ α -ENSC value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 293-308, October.
    • Handle: RePEc:spr:mathme:v:86:y:2017:i:2:d:10.1007_s00186-017-0595-z
    DOI: 10.1007/s00186-017-0595-z
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    References listed on IDEAS

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    Cited by:

    1. Dongshuang Hou & Aymeric Lardon & Panfei Sun & Genjiu Xu, 2019. "Sharing a Polluted River under Waste Flow Control," GREDEG Working Papers 2019-23, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.

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