Question

Game Theory Question :
1. Recall the “Pick a Number Game,” where you needed to

pick an integer between 1 and 100, and the winning value is the one that is closest to 3/4 of the average of all the values submitted.

The strategy set for player I  is Si ={1,2,…,100}

Suppose that you believe the following: “None of my classmates will play a dominated strategy and they will choose an undominated strategy at random.” (All undominated strategies are equally likely). Which of the following strategy choices is a best response to this belief? 

You can assume that the class size is large enough that the impact of any one person’s strategy on the average value is negligible. 

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