COMPOSITE FUNCTIONS WITH ALLEN DETERMINANTS AND THEIR APPLICATIONS TO PRODUCTION MODELS IN ECONOMICS

Abstract

In this paper, we derive an explicit formula for the Allen determinants of composite functions of the form: f(x) = F(h(1) (x(1)) x ... x h(n) (x(n))). We completely classify the composite functions by using their Allen determinants. Some applications of Allen determinants to production models are also given.