Consider an infinitely large population of individuals. Each individual has two available strategies: cooperate (C) or defect (D). Within this population, interactions occur in groups of three randomly selected individuals. If an individual cooperates, it must pay a cost of 6. If an individual defects, it does not pay a cost. Within that group of three, if there are two or more individuals that cooperate, then some shared common goal is reached, and each individual in that group earns a benefit of 16. On the other hand, if within that group of three there are two or more individuals that defect, then the goal is not reached, and no benefit is given out. The payoff for each individual is the benefit they earn (if applicable) minus the cost they pay (if applicable). (a) (1 mark) Express this three-player game in normal form. (b) (2 marks) Find all symmetric Nash equilibria for this game (either pure or mixed). (Hint 1: a symmetric NE has the form (X, X, X) for some (pure or mixed) strategy X; Hint 2: there is a single (unsurprising) pure, symmetric NE, and two symmetric MSNEs; Hint 3: you'll make life a whole lot easier if you