1+23: 2+2a: 19(3) 3(m) where a: is the fraction of citizens that heed the advice and play 3) (0 S a: S 1). (a) 0)) Draw a diagram illustrating the payoffs from playing p (heeding the health advice) and 3 (ignoring the advice) as functions of 3:. Describe all of the possible equilibria in this 'pandemic game' and calculate the payoffs at the equilibrium (equilibria). Which of these equilibria is (are) most likely to obtain in this game? Explain your answer. Analyze how a government mandate backed by police enforcement and punishment for violations can affect the payoffs and change the equilibrium outcome. Suppose the government mandate faces opposition: it is seen by some as an infringement on personal freedom. How would you respond to this objection