| 支付函数不连续条件下的纳什均衡存在性 |
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| 引用本文： | 冯素芬.支付函数不连续条件下的纳什均衡存在性[J].北京工业职业技术学院学报,2013,12(4):62-64,68. |
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| 作者姓名： | 冯素芬 |
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| 作者单位： | 北京工业职业技术学院基础部,北京,100042 |
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| 基金项目： | 2012年北京工业职业技术学院科研课题（BGZYKY201223）. |
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| 摘 要： | 通过讨论支付函数的效用性质,用新方法证明了希克斯需求效用水平的不变性定理,讨论了支付函数连续条件下的纳什均衡存在性定理,指出了支付函数连续性对纳什均衡存在的必要性;讨论了支付函数不连续条件下的纳什均衡存在性,构造了一个模型,并说明在支付函数不连续的情况下纳什均衡的存在性.
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| 关 键 词： | 支付函数 连续性 效用性质 纳什均衡 存在性 |
The Existence of Nash Equilibrium with Non-sequential Payoff function |
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| Feng Sufen.The Existence of Nash Equilibrium with Non-sequential Payoff function[J].Journal of beijing vocational & technical institute of industry,2013,12(4):62-64,68. |
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| Authors: | Feng Sufen |
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| Institution: | Feng Sufen ( Fundamental Education Department, Beijing Polytechnic College, Beijing 100042, China) |
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| Abstract: | This paper discusses the efficacy of payoff function. It proves the invariance theorem of hicks demand u- tility level with new method, and discusses the existence of Nash equilibrium with sequential payoff function and points out the necessity of sequential payoff function to the existence of Nash equilibrium. It also discusses the ex- istence of Nash equilibrium with non - sequential payoff function, and sets up a model to illustrate the existence of Nash equilibrium with non - sequential payoff function. |
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| Keywords: | payoff function sequential efficacy Nash equilibrium existence |
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