FINITE REPETITION

Alice and Bob are playing a repeated game in which a certain stage game is played twice in succession. All behaviour in the first periodis observed by both players before the second period commences.In the stage game, Alice has 3 pure strategies and Bob has 2 pure strategies.

How many pure strategies does Bob have in the repeated game? (If necessary, use a calculator to compute this number.)

2

6

2187

3

36

64

7

729

128

216