3) [20 points] Consider the following games represented in extensive form. For each game below, answer the following questions: i. How many subgames (other than the whole game) are there in the game? Circle all the subgames (other than the whole game). (Make sure all are clearly marked. You do not need to explain verbally why the ones you marked are subgames.) ii. How many information sets does each player have? HINT: Recall that an information set can consist of a single decision node. So, you need to answer considering both single decision nodes and information sets containing multiple decision nodes. iii. Describe what each player knows about the history of the game (i.e. the moves of the players moved until that point in the game) at each one of their information sets (recall that an information set can consist of a single decision node). a. 2 L r R 1 3 2 2 1 0 A 0 B 2 a b a 3 0 3 00 b. 2 K 32 100 r 2 R C (1,1) 0 r C -1 2 k 3 23