1. Solve for all weak perfect Bayesian equilibrium involving pure strategies for games (b) and (d) in the file "Extensive Form Games for ps3.pdf." Make sure that you identify both the pure strategy profiles and the associated system of beliefs for which the pure strategies are sequentially rational. For game (d)show that there is a subgame perfect equilibrium in pure strategies that cannot be supported as a weak perfect bayesian equilibrium.

Fig: 1