Controlling the Outbreak of COVID-19: A Noncooperative Game Perspective

IEEE Access. 2020 Nov 26:8:215570-215581. doi: 10.1109/ACCESS.2020.3040821. eCollection 2020.

Abstract

COVID-19 is a global epidemic. Till now, there is no remedy for this epidemic. However, isolation and social distancing are seemed to be effective preventive measures to control this pandemic. Therefore, in this article, an optimization problem is formulated that accommodates both isolation and social distancing features of the individuals. To promote social distancing, we solve the formulated problem by applying a noncooperative game that can provide an incentive for maintaining social distancing to prevent the spread of COVID-19. Furthermore, the sustainability of the lockdown policy is interpreted with the help of our proposed game-theoretic incentive model for maintaining social distancing where there exists a Nash equilibrium. Finally, we perform an extensive numerical analysis that shows the effectiveness of the proposed approach in terms of achieving the desired social-distancing to prevent the outbreak of the COVID-19 in a noncooperative environment. Numerical results show that the individual incentive increases more than 85% with an increasing percentage of home isolation from 25% to 100% for all considered scenarios. The numerical results also demonstrate that in a particular percentage of home isolation, the individual incentive decreases with an increasing number of individuals.

Keywords: COVID-19; Nash equilibrium; health economics; isolation; noncooperative game; social distancing.

Grants and funding

This work was supported by the Ministry of Science and ICT, South Korea, through the Information Technology Research Center support program supervised by the Institute for Information and Communications Technology Planning and Evaluation under Grant IITP-2020-2015-0-00742.