A characterisation of stable sets in preordered structure

被引：0
|
作者：
Takashi Matsuhisa
机构：
[1] Ibaraki National College of Technology,Department of Natural Science
来源：
4OR | 2012年 / 10卷
关键词：
Abstract game; Jiang mapping; Preordered set; Stable sets; Strategic game; Transitive preference; Primary 91A10; Secondary 91A12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article characterises stable sets in preordered sets. We show that every stable subset of a preordered set is characterised as a fixed point of the mapping assigning the set of all its maximal elements to each upper bounded subset of the preordered set. This result gives a characterisation of stable sets in strategic games with transitive preferences.
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页码：33 / 41
页数：8
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