| 广义最大元对策Nash平衡的存在性 |
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| 引用本文： | 左勇华,刘斌斌. 广义最大元对策Nash平衡的存在性[J]. 江西师范大学学报(自然科学版), 2006, 30(3): 252-255 |
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| 作者姓名： | 左勇华 刘斌斌 |
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| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330027 |
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| 摘 要： | 剔除了具体的支付函数,通过引入集合值映射的方法,直接运用广义最大元的方法来刻画局中人对策略的理性偏好,在更为广阔的实际背景下(不具有传递性和不具有完全性条件下)建立了新的平衡存在性定理,这类平衡具有更为广阔的应用前景.显然,关于一般的对策形式是它的特例.
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| 关 键 词： | 广义最大元 择优映射 Nash平衡 |
| 文章编号： | 1000-5862（2006）03-0252-04 |
| 收稿时间： | 2005-10-12 |
| 修稿时间： | 2005-10-12 |
Equilibrium Existence Theorem of Generalized Largest Element Game |
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| ZUO Yong-hua,LIU Bin-bin. Equilibrium Existence Theorem of Generalized Largest Element Game[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2006, 30(3): 252-255 |
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| Authors: | ZUO Yong-hua LIU Bin-bin |
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| Affiliation: | Institute of Mathmatics and Informatics, Jiangxi Normal Universty, Nanchang 330027, China |
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| Abstract: | In this paper,the payoff function is omitted,and by introducing the method of correspondence,the player's rational preference for strategy is described by generalized largest element.A new equilibrium existence theorem is established in a wider actual background(without complete or transitive preference).This equilibrium has a wider prospect of application.It contains previous game models. |
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| Keywords: | generalized largest element selection mapping nash equilibrium |
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