| 基于生存理论的两类博弈模型 |
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| 引用本文： | 王能发,杨哲,刘自鑫.基于生存理论的两类博弈模型[J].重庆师范大学学报(自然科学版),2024,41(1):1-7. |
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| 作者姓名： | 王能发 杨哲 刘自鑫 |
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| 作者单位： | 贵州财经大学 数学与统计学院； 贵州省大数据统计分析重点实验室， 贵阳 550025；;上海财经大学 经济学院， 上海 200433 |
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| 基金项目： | 国家自然科学基金面上项目(No.72371146；No.62062018)；贵州财经大学创新探索及学术新苗项目(No.2022XSXMB22)；贵州省大数据统计分析重点实验室(黔〖JP2〗科合平台人才［2019］5103)；贵州省高层次创新型人才项目〖JP〗(黔科合平台人才-GCC［2022］020-1) |
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| 摘 要： | 研究基于生存理论的两类博弈模型(非合作博弈与合作博弈模型)及平衡的存在性。将生存理论思想植入到非合作博弈与合作博弈模型中，构建两类新的博弈模型，并给出新模型的非合作博弈强(弱)平衡和合作博弈强(弱)平衡定义。在满足一定的条件下，得到强(弱)平衡的4个存在性定理。这一工作在理论上拓宽了博弈论的研究范畴，具有一定的现实意义。
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| 关 键 词： | 博弈模型 生存理论 强平衡 弱平衡 |
Two Kinds of Game Models Based on Viability Theory |
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| WANG Nengf,YANG Zhe,LIU Zixin.Two Kinds of Game Models Based on Viability Theory[J].Journal of Chongqing Normal University:Natural Science Edition,2024,41(1):1-7. |
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| Authors: | WANG Nengf YANG Zhe LIU Zixin |
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| Institution: | School of Mathematics and Statistics, Guizhou University of Finance and Economics; Guizhou Key Laboratory of Big Data Statistical Analysis, Guiyang 550025;;School of Economics, Shanghai University of Finance and Economics, Shanghai 200433, China |
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| Abstract: | Two kinds of game models based on viability theory (non-cooperative game model and cooperative game model) and the existence of equilibrium are studied. The viability theory is implanted into non-cooperative game and cooperative game models, and two new game models are constructed, and the strong (weak) equilibria of non-cooperative game and strong (weak) equilibria of cooperative game are defined. Under certain conditions, four existence theorems of strong (weak) equilibria are obtained. This work broadens the research scope of game theory theoretically and has certain practical significance in application. |
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| Keywords: | game model viability theories strong equilibria weak equilibria |
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