Process and optimization implementation of the α-ENSC value

In this paper, we introduce a new value called α -ENSC value which is a convex combination of egalitarian non-separable contribution value (ENSC value) and the equal division value (ED value). The 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 α -ENSC value. The α -ENSC value is also the optimal solution for corresponding optimization models under certain complaint criterion. Several new properties are proposed to characterize the α -ENSC value, including α -dual individual rationality, α -egocentric inessential game property and grand marginal contribution monotonicity.