| 利用可数稠密集证明连续效用函数存在性 |
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| 引用本文： | 黄怡胜.利用可数稠密集证明连续效用函数存在性[J].中山大学学报论丛,1999(4). |
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| 作者姓名： | 黄怡胜 |
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| 作者单位： | 中山大学学报编辑部!广州510275 |
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| 摘 要： | 对实商品空间利用其中的可数稠子集， 构造了一个效用函数， 进而延拓到该商品空间， 并保留了函数的连续性， 从而解决了连续效用函数存在性问题
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| 关 键 词： | 可数集 稠密集 效用函数 连续性 |
A Simple Proof for the Existence of Continuous Utility FunctionAn Application of Countable Dense Set |
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| HUANG Yi,shengEditorial.A Simple Proof for the Existence of Continuous Utility FunctionAn Application of Countable Dense Set[J].Supplement to the Journal of Sun Yatsen University,1999(4). |
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| Authors: | HUANG Yi shengEditorial |
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| Institution: | HUANG Yi shengEditorial Department of Journal,Zhongshan University,Guangzhou 510275,China |
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| Abstract: | A utility function on real goods space is constructed,appllying the properties of countable dense subset in the space.The function is then extended to the whole goods space,without losing the continuity of original utility function.The existence of continuous utility function is thus obtained. |
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| Keywords: | countable set dense set utility function continuity |
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