Consider the following game. You and a friend are given theopportunity to play a winner...

Consider the following game. You and a friend are given the opportunity to play a winner take all game worth $20 dollars. The rules are such that twenty $1 bills are placed on a table. Players take turns picking up one, two, or three of these $1 bills. (For example, you could take three of them and then your friend could take one, then you go again and could take two of them, etc.). The person who picks up the last dollar bill gets all the money. Do you want to go first or second in this game and why?

Expert Solution

I want to go second.
reason: When my friend and I play rationally, each of us would like to maximize our winning. If I go second, I may pick 1, 2 or 3 after my friend has picked his choice. The game will be repeated for 4 rounds. Let us assume the note will be picked in the order --- 3, 2 , 1. In four rounds, 17 notes will be picked. 18th pick will be 1 note which my friend will pick. Now there are 2 notes which I will pick. Therefore, I will get all the notes.

So, if I want to all the money, I should go second.

This game is illustrated below:

Rahul Sunny answered 2 years ago

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