Compromise for the complaint: an optimization approach to the ENSC value and the CIS value
本文提出最优妥协值这一新解概念,通过最小化乐观和悲观抱怨得到两个值,分别等于ENSC值和CIS值,并用等最大抱怨性质和效率刻画它们。
The main goal of this paper is to introduce a new solution concept: the optimal compromise value. We propose two kinds of complaint criteria based on which the optimistic complaint and the pessimistic complaint are defined. Two optimal compromise values are obtained by lexicographically minimizing the optimistic maximal complaint and the pessimistic maximal complaint, respectively. Interestingly, these two optimal compromise values coincide with the ENSC value and the CIS value, respectively. Moreover, these values are characterized in terms of equal maximal complaint property and efficiency. As an adjunct, we reveal the coincidence of the Nucleolus and the ENSC value of 1-convex games.