The World in economic indices depending on a country's size. II. Global Scale Matrix

Abstract

The purpose of the study is to represent the world economy as a set of elements of some matrix Q_αβ with dimensions 66 (the Global Scale Matrix) based on the two-dimensional interval classification of countries by the scale of the economy and the scale of the country. The first index in the matrix Q_αβ corresponds to the scale of the country. The second index corresponds to the scale of the economy. Matrixes Q_αβ exist in two forms: 1) a numeric matrix, the element Q_αβ of which is the number of countries with the corresponding scales (a scale level by country size is α, 1≤α≤6; a scale level by economy size is β, 1≤β≤6); 2) a matrix of lists, the elements of which are lists of countries with the corresponding scales of the country and economy. The scientific novelty lies in the publication of the Global Scale Matrix, both in the form of a numerical object and in the form of a matrix of the lists. The study of this matrix reveals as a result the fundamental law of the world economy: the law of diagonal dominance of the Global Scale Matrix. The economic meaning of this law lies in the approximate correspondence between the scale of the country and the scale of the economy.