| 经济学中拟齐次生产模型的几何刻画 |
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| 引用本文： | 王晓姝,计雪飞,杜亚伟,富宇.经济学中拟齐次生产模型的几何刻画[J].高校应用数学学报(A辑),2022(1):52-60. |
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| 作者姓名： | 王晓姝 计雪飞 杜亚伟 富宇 |
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| 作者单位： | 1. 东北财经大学投资工程管理学院;2. 东北财经大学数据科学与人工智能学院 |
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| 基金项目： | 国家社会科学基金(17CJY026)； |
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| 摘 要： | 齐次和拟齐次生产函数作为经典的生产函数模型,在经济分析中具有广泛的应用.从几何学的角度研究齐次和拟齐次生产函数的分类具有重要理论意义和应用价值.该研究利用几何不变量方法,完全分类了拟齐次生产函数所对应的平坦拟齐次生产曲面,并且也给出了极小拟齐次生产曲面的完整分类.
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| 关 键 词： | 生产模型 曲面 平坦性 极小性 拟齐次生产函数 |
Geometric characterizations of quasi-homogeneous production models in economics |
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| WANG Xiao-shu,JI Xue-fei,DU Ya-wei,FU Yu.Geometric characterizations of quasi-homogeneous production models in economics[J].Applied Mathematics A Journal of Chinese Universities,2022(1):52-60. |
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| Authors: | WANG Xiao-shu JI Xue-fei DU Ya-wei FU Yu |
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| Institution: | (School of Investment and Construction Management,Dongbei University of Finance and Economics,Dalian 116024,China;School of Mathematics,Dongbei University of Finance and Economics,Dalian 116024,China) |
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| Abstract: | As classical production models, the homogeneous and quasi-homogeneous production functions have wide applications in economic analysis. From a geometric point of view, it is of great significance to study homogeneous and quasi-homogeneous production functions. Using the methods of geometric invariants, flat quasi-homogeneous production surfaces corresponding to quasi-homogeneous production functions were classified, and a complete classification of minimal quasi-homogeneous production surfaces was given as well. |
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| Keywords: | production models surfaces flatness minimality quasi-homogeneous production functions |
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