Застосування теорії ігор до задачі оптимального управління епідемією в рамках SIRV-моделі

Abstract

This work applies game theory to the SIRV epidemic model to study individual vaccination decisions. Each individual maximizes their payoff by weighing the cost of vaccination against the risk of infection derived from the SIRV model dynamics. The Nash equilibrium vaccination coverage is analytically derived and compared with the socially optimal coverage. The model demonstrates the “price of anarchy” effect: self-interested behavior leads to systematically lower vaccination rates than the social optimum. The magnitude of this gap depends on the perceived relative risk of vaccination and has direct implications for public health policy design.