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Erschienen in: Dynamic Games and Applications 1/2022

28.02.2022

The Mask Game with Multiple Populations

verfasst von: Eitan Altman, Mandar Datar, Francesco de Pellegrini, Samir Perlaza, Daniel Sadoc Menasché

Erschienen in: Dynamic Games and Applications | Ausgabe 1/2022

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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.
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Fußnoten
5
Two threshold policies are consecutive if their thresholds differ by one.
 
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Such statistics could be learned from experience, e.g., assuming that they change in a coarse time scale; we leave such learning aspects as subject for future work.
 
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Strictly speaking, in the HD game, we should require also \(A\le C\), since playing hawk against dove brings larger utility.
 
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According to [4], face masks significantly reduce the risk of SARS-CoV-2 infection compared to social distancing. There is a very low risk of infection when everyone wears a face mask, even if it does not fit perfectly on the face.
 
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Metadaten
Titel
The Mask Game with Multiple Populations
verfasst von
Eitan Altman
Mandar Datar
Francesco de Pellegrini
Samir Perlaza
Daniel Sadoc Menasché
Publikationsdatum
28.02.2022
Verlag
Springer US
Erschienen in
Dynamic Games and Applications / Ausgabe 1/2022
Print ISSN: 2153-0785
Elektronische ISSN: 2153-0793
DOI
https://doi.org/10.1007/s13235-022-00431-5

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