I've read Newcomb's problem (Omega, two boxes, etc.), but I was wondering if, shortly, "Newcomb's problem is when someone reliably wins as a result of acting on wrong beliefs." Is Peter walking on water a special case of Newcomb? Is the story from Count of Monte Cristo, about Napoleon attempting suicide with too much poison and therefore surviving, a special case of Newcomb?
No, that's not the case. A one-boxer in Newcomb's problems is acting with entirely correct beliefs. All agree that the one-boxer will get more money than the two-boxer. That correct belief is what motivates the one-boxer.
The scenarios that you describe sound somewhat (but not exactly) like Gettier problems to me.
(I wasn't the downvoter.)
ITT we talk about whatever.