Two-step Shapley-solidarity value for cooperative games with coalition structure
提出一种新的两步Shapley-团结值,在联盟内按团结原则分配剩余,并给出程序性刻画和三种公理化,适用于研究联盟内部公平分配的经济学问题。
Abstract This paper proposes an alternative for the two-step Shapley value for cooperative games with coalition structure that has earlier been proposed by Kamijo. The value is based on the idea that within a union of players, worth should be distributed based on the solidarity principle. Specifically, we propose a two-step Shapley-solidarity value, in which the surplus of a union’s Shapley value in the quotient game is distributed equally among the union’s members, and players obtain the solidarity value of the respective subgame within their union. We provide an intuitive procedural characterization for this value and give three axiomatizations to pinpoint the differences to comparable values.