Quote:
capnq said:
Quote:
MrToxin said: anybody that knows probability and game theory is going to, eventually, play the guaranteed draw instead of the possible win.
|
People who know probability are a small minority, and game theorists are even rarer.
I'm not convinced that there is a guaranteed draw, but then I managed to fail three different probstat courses in college. 
|
There is quite a simple way to show that there is no guaranteed draw.
Put all your tokens down, and pretend I get lucky.
If your biggest pile of tokens is less than 9, I could have put 10 in every box and win 10 to zero.
If your biggest pile of tokens is 9 or more, I could have used the same distribution of tokens as you, except for zero against your biggest box, and +1 against all the other boxes. Meaning I win 9 to 1.
Therefore, no matter how many tokens your largest pile has, there is a possibility of me winning.