Geometric Characterizations of Quasi-Product Production Models in Economics


Yu Fu, Wei Guo Wang




In this work, we investigate quasi-product production functions taking the form: \[ L(x_1,\dots,x_n)=F\bigg(rod_{i=1}^nf_i(x_i)\bigg). \] We get a simple geometric classification of quasi-product production functions via studying geometric properties of their associated graphs in Euclidean spaces. Moreover precisely, if their corresponding graphs are flat spaces, a complete classification of quasi-product production functions with an arbitrary number of inputs is obtained.