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

Panfei Sun (), Dongshuang Hou (), Hao Sun and Hui Zhang
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Panfei Sun: Northwestern Polytechnical University
Dongshuang Hou: Northwestern Polytechnical University
Hao Sun: Northwestern Polytechnical University
Hui Zhang: Northwestern Polytechnical University

Mathematical Methods of Operations Research, 2017, vol. 86, issue 2, No 3, 293-308

Abstract: 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.

Keywords: Cooperative game; ENSC value; ED value; Allocation process; Axiomatization (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s00186-017-0595-z

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