Conditions for injectivity in the issue of factor price equalization

Abstract

New sufficient conditions for injectivity in a finite-dimensional space were developed. They take the form of limits on the derivatives up to and including the second order, and ensure the existence of a homeomorphic continuity of the examined function across the whole plane. We have also analyzed the locally Lipschitz continuity. Conditions for injectivity in this case take the form of limits on the generalized Jacobian. The range of definition of the analyzed functions is typical for the issue of price equation with factors of production.