中文摘要：

本文主要介绍了拟阵上的合作对策Shapley解的结构，并利用强单调性、交换性、概率有效性等三条公理刻画了拟阵上合作对策Shapley解的唯—性。同时讨论了本文的三条公理与Bilbao等人的四条公理的等价性。最后给出拟阵上合作对策核心的定义及其结构。

英文摘要：

The Shapley value for cooperative games on matroids is recalled and is characterized by three axioms of strong monotonicity, substitution and probabilistic efficiency, which are equivalent to the axioms of linearity, substitution to unanimity games, P-dummy player property and probabilistic efficency. The structure of element of core for cooperative games on matroids is presented.