| 单调集对策及合成对策的边缘值 |
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| 引用本文： | 闫慧臻,张亚东,刘广智,张盛开.单调集对策及合成对策的边缘值[J].经济数学,1998(4). |
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| 作者姓名： | 闫慧臻 张亚东 刘广智 张盛开 |
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| 作者单位： | 大连轻工学院运筹研究所!大连，116001 |
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| 基金项目： | 国家自然科学基金，大连市政府资助 |
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| 摘 要： | 本文给出了单调集对策及其合成对策的边缘值，它类似于我们所熟知的TU—对策的Shapley值及文献6]．集对策的边缘值的意义在于允许局中人共享项目．这使得不能分割的项目在局中人之间的分配成为可能．我们给出了这种边缘值的一些性质，并讨论了合成集对策的核及其子对策的核之间的关系．
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| 关 键 词： | 单调集对策 合成集对策 边缘值 |
A MARGINALISTIC VALUE FOR MONOTONIC SET GAMES AND THEIR COMPOSITION GAME |
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| Yan Huizhen,Zhang Yadong,Liu Guangzhi,Zhang Shengkai.A MARGINALISTIC VALUE FOR MONOTONIC SET GAMES AND THEIR COMPOSITION GAME[J].Mathematics in Economics,1998(4). |
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| Authors: | Yan Huizhen Zhang Yadong Liu Guangzhi Zhang Shengkai |
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| Abstract: | In this paper we characterize a value,called a marginalistic value,for monotonic set games and their composition game,which can be considered to be the analog of the Shapley value for TU-games and 6]. The marginalistic value for set games allows players to share items. This makes it possible to consider situations where indivisible items must be allocated to the players. We give a few properties of the marginalistic value,and we discuss the relationship between the core of a composition set game and the cores of its sub-games. |
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| Keywords: | Monotonic set game composition set game marginalistic value |
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