Submit a whole number between 1 and 1,000,000,000. I’ll then take all those numbers and find the average submission. Whoever submits the number closest to ⅔ of the mean of all of the submitted numbers wins.So if we get a bunch of random submissions, then the mean of those guesses would be 500,000,000. 2/3 of that would be 333,333,333. But if enough people use that logic, then that would be the mean and 2/3 of that would be 222,222,222.
Repeatedly taking 2/3 of 500 million looks like this graph, or this equation:
So let's assume everybody but me thus submits 1.
ReplyDeleteLet's assume there are 1000-10,000 players.
So I play the system and submit 100,000,000 and get my GF to submit
something between 6666 and 66,666.
She wins.