Assignment:
Consider the following extensive-form game.
(a) Prove that in this game at every Nash equilibrium Player I plays (T1, B2).
(b) List all the Nash equilibria of the game.
(c) Which of these Nash equilibria can be completed to a sequential equilibrium, and for each such sequential equilibrium, what is the corresponding belief of Player II at his information sets? Justify your answer.
Provide complete and step by step solution for the question and show calculations and use formulas.