经济学中拟齐次生产模型的几何刻画  

Geometric characterizations of quasi-homogeneous production models in economics

作　　者：王晓姝[1] 计雪飞 杜亚伟 富宇[2] WANG Xiao-shu;JI Xue-fei;DU Ya-wei;FU Yu(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)

机构地区：[1]东北财经大学投资工程管理学院,辽宁大连116024 [2]东北财经大学数据科学与人工智能学院,辽宁大连116024

出　　处：《高校应用数学学报（A辑）》2022年第1期52-60,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家社会科学基金(17CJY026);辽宁省教育厅项目(LN2019Q45)。

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.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.

关 键 词：生产模型 曲面 平坦性 极小性 拟齐次生产函数 

分 类 号：O186.1[理学—数学]