In the office I work, there is a popular game when someone wants to give something away. When a person has something to give away, they send out an email to 'n' people. The email directs the recipients to try and guess the lowest positive integer they can that is unique amoung all the responses. So the email would look like:(adsbygoogle = window.adsbygoogle || []).push({});

"You need to send a guess which is a positive integer (1, 2, 3…) The person who guesses the lowest unique number wins."

I was wondering, based on the number of people 'n' is there a best guess?

For 1 person, 1 is the best guess for obvious reasons.

For 2 people I think 1 is still the best guess. If the other person also guess is 1, its a tie, if not you win.

For 3 people I am not sure.

I am looking for people who are smart then me to help me devise a strategy to win baseball tickets, software licenses, old hardware, booze, and other misc giveaways at my work.

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# Game theory perhaps?

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