| 基于RDEU理论的n人非期望效用博弈模型及其应用 |
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| 引用本文： | 熊国强. 基于RDEU理论的n人非期望效用博弈模型及其应用[J]. 系统工程, 2008, 26(6) |
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| 作者姓名： | 熊国强 |
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| 作者单位： | 西安理工大学,工商管理学院,陕西,西安,710054 |
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| 基金项目： | 国家自然科学基金资助项目 , 陕西省教育厅专项科学研究基金资助项目 |
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| 摘 要： | 分析了经典博弈论理性行为假设的局限性,基于RDEU理论提出了新的n人非期望效用博弈模型,给出了其纳什均衡的定义和存在性的相关定理.通过"夫妻之争"博弈问题的实例分析,揭示了博弈问题的纳什均衡与局中人的偏好态度相关,表明了该模型的有效性.
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| 关 键 词： | RDEU理论 n人非期望效用博弈模型 纳什均衡 " 夫妻之争" 博弈 |
n-person Non-expected Utility Games Model and Its Application Based on RDEU Theory |
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| XIONG Guo-qiang. n-person Non-expected Utility Games Model and Its Application Based on RDEU Theory[J]. Systems Engineering, 2008, 26(6) |
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| Authors: | XIONG Guo-qiang |
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| Affiliation: | School of Management;Xi'an University of Technology;Xi'an 710054;China |
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| Abstract: | This paper analyzes the localization of hypothesis of rational behavior in classical game theory,and presents a new n-person non-expected utility games model based on the RDEU theory.The definition and a few existence theorems of its Nash equilibrium are given.Then we point out that the Nash equilibrium of the games is relevant to the risk attitude of players by analizing the example of the "Battle of Sexes" game,which illustrates the effectiveness of this model. |
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| Keywords: | RDEU Theory n-person Non-expected Utility Games Model Nash Equilibrium " Battle of Sexes" Game |
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