Suppose that all people can transmit the corona virus with a certain probabilitypto another person without knowing it. Furthermore, assume that wearing a face mask reduces the probability that you transmit the virus to another person to zero but does nothing to protect yourself (both of these assumptions are not true in reality). Catching the virus with probabilitypgives you a payoff of100p. Wearing a face mask is obviously inconvenient and reduces your payoff by 10.

(a)Model the situation as a simultaneous two-person game.

(b)What is the game theoretic prediction and why?

(c)What would help in this situation?