严格对角占优指派博弈解的研究

Research on Solutions of Assignment Game with Strictly Diagonally Dominance

合作博弈在经济学研究中具有广泛的应用。通过数学证明的方法,研究严格对角占优指派博弈的解:研究了严格对角占优指派博弈的PS性;讨论了满足PS性的严格对角占优指派博弈的Shapley值、核仁与τ-值之间的关系;证明了严格对角占优指派博弈满足PS性的充分必要条件;得到了满足PS性的严格对角占优指派博弈的Shapley值在核心中,以及其Shapley值与核仁、τ-值一致的结论。

Cooperative game has been extensively applied in research of economics.The method of mathematical justification has been applied to mainly research on the solution of strict diagonal dominant assignment game as studied the PS property of strict diagonal dominant assignment game;discussed the relationship among the Shapely value,nucleolus andτ-value of strict diagonal dominant assignment game satisfying the PS property;proved the necessary and sufficient conditions for strict diagonal dominant assignment game to meet the PS property;then concluded that the Shapley value is in the core of strict diagonal dominant assignment game satisfying the PS property,and its Shapley value,nucleolus andτ-value are coincident.