Comparison of Nash equilibrium and the behavior of experiment participants in the dynamic simulation of COVID-19 spread

The spread of infectious diseases in human communities is traditionally described using mathematical models. The development of the mathematical tool over time makes it possible to move from the simplest dynamic models to more complex ones which study various aspects of the spread of the disease. Game theory is a pretty young field of mathematics in which significant discoveries are made recently. The transition from describing the actions of society as a whole to describing the actions of specific individuals may be interesting in the framework of studying the dynamics of the spread of infectious diseases. This paper explores a dynamic game that simulates the spread of COVID-19 in a closed community. The description of the experiments, their results, as well as the behavior of the participants are evaluated from the viewpoint of the Nash equilibrium.