1. Consider the coordination game between two political activists as given in Figure 1, where P represents protesting and N represents not protesting. Figure 1: Coordination game (a) For any given profile of strategies (1,2), derive activist 1's payoff U1(1,2). (b) For any given strategy 2 of activist 2, derive activist 1's best-response function BR1(2) (c) For any given strategy 1 of activist 1, derive activist 2's best-response function BR2(1) (d) Using only your answer in Q.1b and Q.1c, find all Nash equilibrium (both PSNE and MSNE) of the game