The quantitative analysis of trading wars is now an actual and modern problem although the first works on optimisation of the custom duties date back to the end of the 19th century. The problem of reducing the number of possible solutions to the conflict and precise identifying of the optimal strategies is important. Applying mathematics makes the problem more formal, allows removing political tension in search of optimum solutions to all participants of the trading conflict. We consider that some state sells a product manufactured both in the country and abroad to other countries. The country-consumer of the product faces a choice of the import regulation in relation to the situation by means of the import duty size. A goal of such regulation may be the income of taxes and customs payments or the growth of the domestic manufacturer part in sales volumes. A goal of the importer which it achieves by the import volume variation is either profit, or a number of workplaces in the countries making the imported product. We introduce three multicriteria problems which correspond to different purposes of economic agents. The Pareto set is constructed for each problem. The main attention is paid to the Pareto set reducing based on additional information on the preference relation of the economic agents. Several calculations are made and illustrative examples are given.

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The proposed algorithm for estimating the amount of medicines can be successfully used by both pharmaceutical (or dealer) companies and government agencies for objective population provision. The usual sources of such estimates are based either on market surveys or on pharmacy network data. Both ways are very expensive and do not allow predicting mass demand in the future, for example, with an unexpected epidemic or the emergence of new medicines. In addition, the proposed algorithm can be successfully applied to the pricing problem: a variation in price may show a change in the volume of use.