| 引用本文: | 黄振高.连续凸对策的谈判集.[J].国防科技大学学报,1987,(3):76-80.[点击复制] |
| Huang Zhengao.The Bargaining Set for Continuous Convex Games[J].Journal of National University of Defense Technology,1987,(3):76-80[点击复制] |
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| 连续凸对策的谈判集 |
| 黄振高 |
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(应用数学系)
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| 摘要: |
| 在最近的一次国际对策论会议上，Shapley 教授提出了一种新的谈判集概念。这种谈判集避开了单个局中人之间的谈判，从而对于具有无限多局中人的对策也有意义。在这篇短文里，我们证明，对于连续凸对策，这种新的谈判集与核心重合。这就大大推广了文献[1]和[2]的主要结果。在证明过程中，我们也顺便得到测度论中Hahn分解定理得推广。 |
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| DOI： |
| 投稿日期：1987-01-07 |
| 基金项目: |
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| The Bargaining Set for Continuous Convex Games |
| Huang Zhengao |
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(Department of Applied Mathematics)
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| Abstract: |
| In a recent international conference on Game Theory，Professor Shapley presented a new bargaining set concept，which avoid bargaining among players，and so can be generalized to the games with infinitely many players. In this paper，the new bargaining set for continuous convex games is proved to be coincided with the core，thus the main results of [1] and [2] may be generalized to a great extent. As a by-product of our proof，a new generalization of Hahn decomposition theorem in measure theory is obtained. |
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