Playing your double: Evidence that your opponent will not use rock is evidence that you should not use paper. If you don't use rock, and don't use paper, then you must use scissors and tie with your opponent who followed the same reasoning.
Updating on evidence that rock doesn't win when it is used means rock wins.
EDIT: consider what you would believe if you tried to call a coin a large number of times and were always right. Then consider what you would believe if you were always wrong.
"Rock lost every time it was played "
"rock doesn't win when it is used means rock wins."
One of these things is not like the other.
I have sympathy with both one-boxers and two-boxers in Newcomb's problem. Contrary to this, however, many people on Less Wrong seem to be staunch and confident one-boxers. So I'm turning to you guys to ask for help figuring out whether I should be a staunch one-boxer too. Below is an imaginary dialogue setting out my understanding of the arguments normally advanced on LW for one-boxing and I was hoping to get help filling in the details and extending this argument so that I (and anyone else who is uncertain about the issue) can develop an understanding of the strongest arguments for one-boxing.