In general, in the theory of international relations, there are a number of the most common modeling methods. Logical-deductive models based on theoretical assumptions about the object under study are often used in theoretical research and comparative typological generalizations. The basis of theoretical modeling variability is political science development through change and competition of paradigms. Representations of the subject, methodological principles, characteristics of problems and empirical tools of political research are grouped according to ideological preferences, maintenance of the power structure within a scientific discipline and perpetuating the established order. The aim of the paper is to describe the modeling methodology in the field of international relations theories. The overview of classic paradigms of international relations has shown the absence of the adequate ones for a bilateral relationship analysis. However, the theory of modeling and a scenario approach has a high prognostic potential for bilateral relations studies.In addition to theoretical and analytical modeling in the theory of international relations, empirical-oriented models have been developed significantly. They tend to use a large amount of empirical data and a great number of quantitative statistical methods of mathematical analysis. The construction of such models is often considered as a stage of general analysis, which assumes the formalization and mathematical expression of basic elements and relationships of the objects under study. Mathematical models have significant advantages from the point of view of specifying and clarifying conclusions and increasing analysis and generalization complexity.
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