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The Mask Game with Multiple Populations
Eitan Altman1,2,3, Mandar Datar1,2, Francesco de Pellegrini2
1INRIA Sophia Antipolis - Méditerranée, Valbonne, France.
Dynamic Games and Applications
|March 7, 2022
Summary
This study models the mask-wearing game, finding that individuals adopt masks based on a personal risk threshold. This game theory approach helps understand mask adoption during epidemics.
Area of Science:
- Epidemiology
- Game Theory
- Behavioral Economics
Background:
- Masks are crucial for public health during epidemics, yet understanding adoption is complex.
- Individual decisions to wear masks involve balancing protection benefits against comfort costs.
Purpose of the Study:
- To model the decision-making process of mask-wearing as a game.
- To analyze the factors influencing mask adoption in a population.
Main Methods:
- Formulated mask-wearing as a Bayesian game, incorporating risk and health states.
- Utilized evolutionary game theory to simplify the model to a one-shot equivalent game.
- Analyzed symmetric equilibria to determine mask-wearing policies.
Main Results:
- Identified a threshold structure for mask-wearing policies.
- Demonstrated that individuals wear masks only when their perceived risk meets or exceeds a specific threshold.
- Characterized the symmetric equilibria of the mask game.
Conclusions:
- Mask adoption is governed by a threshold strategy based on individual risk perception.
- Game theory provides a framework for understanding public health behaviors like mask-wearing.
- The findings offer insights into promoting mask usage during health crises.
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