The political figures Rosa and Ermias have to choose either Bahir Dar(B) or Hawasa(H) as the location for a party congress. They choose sequentially. A third person, Kaleb, determines who chooses first. Both Rosa and Ermias care only about the actions they

choose, not about who chooses first. Rosa prefers the outcome in which both she and Ermias choose B to that in which they both choose H, and prefers this outcome to either of the ones in which she and Ermias choose different actions; she is indifferent between these last two outcomes. Ermias's preferences differ from Rosa's in that the roles of B and H are reversed. Kaleb's preferences are the same as Ermias's.

a) Draw a game tree representing the described situation.

b) What are Rosa's strategies in the game?

c) Find the subgame perfect equilibria of this gam