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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.

Thucydides is considered to be the founder of political realism. Even in those times he determined the basic premises of realism - security and survival. He made an impact on subsequent development of realism embodied in the works of Machiavelli, Hobbes, Morgenthau, Car, Niebuhr, Aaron, Waltz etc. They will call the system of international relations as anarchical one since there is no supreme arbitrator which will force states to adequate behaviour. His views of realism were given in the volume 'The Peloponnesian War' where he had determined the anarchy of the relationships among states. Such system did not rely on justice and morale, but force and power were the predominant facts. He also introduces the category of just wars by claiming that Sparta led a just war against the increased power of Athens, and observed morale principles. Nevertheless, Thucydides faces contradictory, since Sparta itself as the largest land force of that time had to use force in order to beat Athens. He went ahead since he considered force and power as a necessary condition to achieve other objectives, which was later on adopted by Raymond Aaron. Following the example of the war between Athens and Sparta, he successfully analysed bipolar system of balance of power in which the conflict between the leading members of the two opposite blocks was possible in the end, while beforehand there should have been conflicts among weaker members of both blocks. Thucydides explained the manifestation of force and power using example of the Melian dialogue between the envoys of Athens and Melos. It was about the pure politics of force of Athens regardless of the fact that Melos had its independence.