The article is devoted to the methodology of nonparametric modelling of the dynamics of countries' efficiency indicators considering global technological progress. The research is based on the DEA method with two inputs. The proposed models are constructed in the "labour-intensity – capital-intensity"coordinate system. In the course of their development, countries sequentially cross the world technology frontiers of different orders, from less efficient to more efficient. The elementary strategies for countries in the factor intensity plane of production are as follows: 1) movement in the opposite direction, regardless of the positions of more efficient countries; 2) movement towards the more efficient country, approaching which requires either minimal changes in the previous development vector or minimal changes in the current proportion between production factors. To reflect global trends, theoretical lines are constructed, which are international tracks of technological progress. Each such track is a convex hull of states of countries and, unlike the world technology frontier, has a positive slope. If global development factors prevail over internal ones, countries will be divided into groups, each following its own technological track. A less developed country will choose a more advanced country as a model within a particular group. A country located on the last (most efficient) segment of its international technological track will move towards a specific virtual state. Depending on the nature of the global technological trend, international tracks of technological progress can lead to the convergence of production factor proportions of countries from different groups or to their divergence. In the first case, all international tracks will end at the point of highest efficiency Ω(0,0). In the case of divergence of technological proportions, tracks that bypass this point are possible, bringing countries closer to the infinite productivity of one production factor at a finite level of productivity of the other.