midterm question

Q.1 (i). Given a extensive form game, write down the definition of subgame perfect Nash equilibrium. For each of the following three game examples, (ii). Find out the subgame perfect Nash equilibrium strategy profiles. The first number is the payoff of the first player, the second number is that of the second player, and so on. D H 2. 4 3. 3 1.2 0.1 3. 1 0.4 5,3 S N N S 4,4.-3 N S 2, 2,3 2,1,0 1,2,1 1,0.2 1, 5,4