Complexity Explorer Santa Few Institute

Game Theory I • Static Games

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8.2 Example » Quiz Solution

Question: Suppose there is a Bayesian game where player 1 can be one of 3 types and for each type, has 4 possible actions. How many strategies are there for player 1?

Answer: (e)  64

Explanation: Remember, that a strategy species an action for each type. That means

one strategy species an action for each of the four possible types. So one strategy might be

something like \If type A, take action 1, If type B, take action 1, if type C, take action 2."

Taking into account all possible combinations gives 64 total strategies.