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Volume 61 >>> № 3 MAY — JUNE 2025

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DOI 10.34229/KCA2522-9664.25.3.8

UDC 519.86

N.S. Gonchar¹, O.P. Dovzhyk², A.S. Zhohin³,
W. H. Kozyrski⁴, A. P. Makhort⁵

¹ Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine

mhonchar@i.ua

² Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine

dovzhyk@bitp.kyiv.ua

³ Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine

aszhokhin@bitp.kyiv.ua

⁴ Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine

kozyrski@bitp.kyiv.ua

⁵ Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine

map@bitp.kyiv.ua

A NEW PERSPECTIVE ON THE ANALYSIS OF WORLD TRADE
AND GLOBAL ECONOMY

Abstract. We formulate the necessary and sufficient conditions that provide full clearing of markets within our world trade model. We describe equilibrium states with excess supply and propose an algorithm for finding the equilibrium state with the lowest excess supply by solving a certain quadratic programming problem. Based on the demand structure, we propose an algorithm for constructing a supply structure in which international trade is fair. The trade between the G20 countries is analyzed using the constructed model of world trade.

Keywords: world trade, market clearing, economic equilibrium, quadratic programming, ideal equilibrium.

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UDC 519.86

A NEW PERSPECTIVE ON THE ANALYSIS OF WORLD TRADE AND GLOBAL ECONOMY

REFERENCES

A NEW PERSPECTIVE ON THE ANALYSIS OF WORLD TRADE
AND GLOBAL ECONOMY