Dominance, dependence and interdependence in linear structures. A theoretical model and an application to the international trade flows

This paper aims to study the structure of international trade. It establishes, through a simple formalization of exchange coefficients, that many theorems can be proved on a function of the macroscopic structure (the determinant of the matrix). This determinant is the cornerstone of indicators to analyze the evolution of trade between countries and regions. The objective is to introduce new tools to rigorously measure the characteristics and effects of globalization. The structural analysis proposed in this way can be applied to many other areas.