| 年龄分布下种群资源开发动态博弈的Nash均衡 |
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| 引用本文： | 何泽荣,谢强军.年龄分布下种群资源开发动态博弈的Nash均衡[J].系统科学与数学,2010,10(10):1304-1312. |
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| 作者姓名： | 何泽荣 谢强军 |
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| 作者单位： | 杭州电子科技大学运筹与控制研究所,杭州,310018 |
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| 摘 要： | 研究具有年龄结构的种群资源开发中的动态博弈问题.应用~Kakutani~多值映射不动点定理证明了Nash均衡的存在性,借助切锥－法锥和共轭系统技巧刻画了均衡策略.结果表明,在一定条件下,均衡策略具有Bang-Bang结构.
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| 关 键 词： | 年龄结构 动态博弈 Nash均衡 Kakutani不动点 法锥. |
| 收稿时间： | 2009-4-7 |
NASH EQUILIBRIA OF A DYNAMICAL GAME IN AGE-STRUCTURED POPULATION RESOURCES |
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| HE Zerong,XIE Qiangjun.NASH EQUILIBRIA OF A DYNAMICAL GAME IN AGE-STRUCTURED POPULATION RESOURCES[J].Journal of Systems Science and Mathematical Sciences,2010,10(10):1304-1312. |
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| Authors: | HE Zerong XIE Qiangjun |
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| Institution: | Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018 |
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| Abstract: | A dynamical game in the exploitation of age-dependent population resources is studied. The existence of Nash equilibria is established by means of Kakutani's fixed point theorem for multivalued mappings, and the structure of the equilibria is described by tangent-normal cones and adjoint system techniques. The conclusion shows that, under certain conditions, the optimal strategies are of Bang-Bang type. |
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| Keywords: | Age dependence dynamical game Nash equilibrium Kakutani fixed point normal cone |
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