| 约束凸性与连续诱导策略的存在性 |
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| 引用本文： | 徐春晖,陈珽.约束凸性与连续诱导策略的存在性[J].华中科技大学学报(自然科学版),1991(2). |
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| 作者姓名： | 徐春晖 陈珽 |
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| 作者单位： | 华中理工大学系统工程研究所
(徐春晖)，华中理工大学系统工程研究所(陈珽) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文研究随从目标函数非凸时的诱导问题.提出函数约束凸性的概念,得到了函数在某点具有约束凸性的充要条件和具有约束凸性的函数取最小值的充分条件,并利用约束凸性的概念得出了随从目标函数非凸时连续诱导策略存在性的充要条件.
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| 关 键 词： | 系统工程 主从对策 诱导策略 约束凸性 |
Constrained Convexity and Existence of Continuous Incentive Strategies |
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| Xu Chunhui Chen Ting.Constrained Convexity and Existence of Continuous Incentive Strategies[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1991(2). |
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| Authors: | Xu Chunhui Chen Ting |
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| Institution: | Xu Chunhui Chen Ting |
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| Abstract: | This paper studies incentive problems wherein the follower's cost objective function is nonconvex. The concept of constrained convexity of a function is proposed and the necessary and sufficient condition for a function to have constrained convexity at a certain point and sufficient condition for a function with constrained convexity to reach minimum have been obtained. By employing the concept of constrained convexity, a sufficient condition for the existence of continuous incentive strategies when the follower's objective function is nonconvex is derived, which is shown to be weaker than that for the convex case. |
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| Keywords: | System engineering Leader-follower game Incentive strategy Constrained convexity |
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