Question

Suppose that Paul and Jim play a simultaneous game where they have to choose between two actions (for example Left and Right)

Paul can be of three types.
Jim can be of four types.
Paul observes his type but does not observe the type of Jim
Jim observes his type but does not observe the type of Paul
How many strategies has Paul?

Answer 1

In the given game, Paul has a total of six pure strategies, derived from the combination of his three possible types and the two actions available to each type.

Step-by-step explanation:

Paul is faced with a strategic decision-making situation where there are multiple potential outcomes based on the decisions of both players in a given game. Since Paul can be of three types and each type of Paul can choose between two actions (Left or Right), he has a total of 3 x 2 = 6 pure strategies. These strategies are the different combinations of actions Paul could take for each type he could be.

In the given game, Paul has a total of six pure strategies, derived from the combination of his three possible types and the two actions available to each type. Paul has three types, and for each type, he can choose between two actions. Therefore, Paul has a total of 3 * 2 = 6 strategies.