N.V. Grineva1, A.M.Moiseenko2

1 Financial University under the Government of the Russian Federation (Moscow, Russia)
2 Russian Academy of National Economy and Public Administration under the President of the Russian
 Federation (Moscow, Russia)
1ngrineva@fa.ru, 2alex7and7er@gmail.com

Identifying what a country's specialization will focus on in the case of international trade is an old task that nonlinear programming does quite well. However, non-linear programming cannot adequately predict the distribution of goods between countries as a result of establishing trade relations due to the fact that this distribution rarely leads to Pareto improvement.

Goal – building a system to identify the optimal allocation of resources in the economy for the production of n number of goods from the point of view of ensuring the maximum utility of states connected by trade relations, as well as the distribution of goods between these states.

A system is proposed that allows calculating the optimal distribution of resources between the production of goods and the goods produced between the countries participating in trade, and a three-factor model with energy as a completely mobile factor of production is also proposed. The model has some limitations, some of which can be overcome, the results obtained do not contradict the logic of the trading process. The system was tested on experiments that differ in the reasons available in the theory of international trade for starting trade relations, and has shown results that meet expectations.

The developed system makes it possible to predict the specialization of countries in the production of a particular good, as well as to calculate the equilibrium distribution of goods between the countries participating in trade. The developed model can be used as an approximation of what is actually happening.

Grineva N.V., Moiseenko A.M. Optimization of the static model of in-kind trade using nonlinear programming and game theory. Nonlinear World. 2024. V. 22. № 4. P. 113–121. DOI: https://doi.org/10.18127/ j20700970-202404-15 (In Russian)

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