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The article investigates the formal models as a method of analysis in international studies. The importance of this type of models in writing articles for world leading high-ranking journals from Scopus list is shown. The author reveals the main challenges of interdisciplinary synthesis related to the construction of formal models. The problem of identifying the actors of international relations is revealed, including the assessment of actor's involvement in a concrete international conflict (or process) in the context of the concepts of defensive and offensive realism, as well as of real and of latent (potential) power. The decrease in the influence of the state as the primary actor in international relations, and the increase of influence of new types of actors are shown, including international terrorist networks (led by IS), political parties, media and NGOs in the context of post-modernism, global business structures. At the national level, the main actors are illustrated both by the example of countries with a developed civil society and a market economy, and by that of the traditional non-Western society. The question of levels of analysis in international relations, as well as agent-structure problem are illustrated by concrete cases from modern international relations. The author describes a model of "nested" politics. The main types of models used in international studies (game theoretic, econometric, network analysis, simulation) are indicated as well as their shortcomings. Two kinds of simulation models - system dynamics and agent-based modeling are described. It is noted that the agent-based modeling is carried out mainly in the framework of the constructivist paradigm of international relations theory.

The article provides an overview of international and Russian literature on the genesis and development of System Research in IR studies, demonstrates the emergence of System Research in Russia and in the world, the development of the general theory of systems. It is shown that at the fi rst stage, the representatives of natural sciences tried to identify the isomorphism between the international relations system and other systems (biological, physical). In this context, the attempts to form a general theory of international confl ict could be viewed. It is noted that at the beginning of the 1970s, these attempts ended unsuccessfully in general. The second area of international relations system modeling is related to the work of structural realists, primarily K. Waltz and M. Kaplan. Despite the fact that in their papers the verbal analysis dominates over the formal international relations system model, they have madea signifi cant contribution to the political science in perception of the systems theory. The paper also describes the system modeling in the context of the Neo-Marxist theory of international relations, fi rst and foremost, in the meaning of the I. Wallerstein's world-system theory. Special attention is paid to the systemic research crisis in the IR science at the turn of 1980-1990s, also due to a sharp change in the international situation, and the transition from a predominantly deterministic world of the Cold War to the post-bipolar non-equilibrium international system. The authors clearly reveal the evolution of the international relations perception in terms of the systems theory. They also illustrate the intensifi cation of the international system modeling in the XXIst century on the basis of a new methodology - via the use of the more sophisticated complexity theory (the theory of complex systems), as well as by adapting the sociological theory of structuration by A. Giddens in political sciences. Showing the most promising areas of the complexity theory practical application in the modeling of international relations - agentbased modeling and simulation of system dynamics, - the authors enumerate the most promising spheres for the system modeling in international studies.