Title
The Mask Game with Multiple Populations
Abstract
Masks save lives. Therefore, while the culture of wearing masks is promoted, it is critical to understand the various aspects of how that culture is adopted. The main contribution of this paper is in the modeling of the mask game. Wearing a mask provides partial protection against epidemics at some cost of comfort. Players can be differentiated according to both their risk state as well as their health state (susceptible, infected and removed). We formulate the problem as a Bayesian game in which players know their own risk state and ignore their own health state and the health and risk states of their counterparts. Using ideas from evolutionary games, we reduce the problem to a one-shot equivalent game and describe the structure of the symmetric equilibria. We prove that the policies adopted by the players at such equilibria admit a threshold structure. More specifically, players wear masks only if their risk state is equal to or bigger than a given threshold.
Year
DOI
Venue
2022
10.1007/s13235-022-00431-5
Dynamic Games and Applications
Keywords
DocType
Volume
Epidemic diffusion, Multipopulation games, Thinning control
Journal
12
Issue
ISSN
Citations 
1
2153-0785
1
PageRank 
References 
Authors
0.35
2
5
Name
Order
Citations
PageRank
Eitan Altman15085516.73
Mandar Datar210.35
Francesco de Pellegrini310.35
Samir Medina Perlaza472248.69
Daniel Sadoc Menasché510.68