Consider the following scenario: Player1 chooses an integer m in the set {1, 2, 3, . . . , 10}. Player 2 chooses an integer n from the same set. The payoffs to each player are: 1r1(m, n) = 10m mn 1r2 (m, n) = 1071 mn (a) What is the size of each player's strategy set if they choose simultaneously? (b) What is the size of each player's strategy set if Player 1 moves first and Player 2 observes m before choosing n? The purpose of this question is to think carefully about the denition of a strategy set in an extensive form game