Математичне моделювання економічної системи у free-to-play грі: балансування витрат і прогресу гравця

Abstract

This paper explores the development and optimization of an economic system in a free-to-play game based on lootbox mechanics. The study presents the principles of in-game currency distribution, the probability-based unit drop system, and the balance of upgrade costs. Using mathematical modeling and probability theory, the optimal pricing for unit upgrades and modifications was determined, ensuring a balance between player progression and monetization. The results provide a framework for designing sustainable game economies that maintain player engagement while preventing economic stagnation.