Suppose a player can play 2 possible actions and has 5 possible decision nodes in a sequential game.Then he has 10 possible strategies he can play.

Question

Quizplus · Accepted Answer

If a player has 2 possible actions and 5 possible decision nodes, then the total number of possible strategies is 2^5, which is equal to 32. Each decision node gives the player the opportunity to choose between 2 actions, and since there are 5 decision nodes, the player has 2 options at each of the 5 decision nodes. Therefore, the total number of possible strategies is 2 x 2 x 2 x 2 x 2 = 32.

Suppose a Player Can Play 2 Possible Actions and Has