Application of Sphere Packing Theory in Government Budget

Abstract

The sphere packing problem involves packing non-overlapping spheres with maximum volume into a convex set. The purpose of this work is to propose a novel application of the sphere packing problem to the government budget issue and to formulate a mathematical model for reducing the government budget deficit. In the numerical experiment, we used statistical data on the Mongolian economy from 2013 to 2022. We considered 19 types of revenues and 28 types of expenditures. The numerical experiment shows that with specific adjustments to current government revenue and expenditure, the government can decrease the budget deficit.