Alright, I removed the game tree from the summary.
The -11 was chosen to give a small, but not empty, area of positive-returns in the strategy space. You're right that it doesn't affect which strategies are optimal, but in my mind it affects whether finding an optimal strategy is fun/satisfying.
Link:
Counterintuitive Counterfactual Strategies
Overview:
Over the weekend, I was thinking about the variant of Newcomb's Paradox where both boxes are transparent. The one where, unless you precommit to taking a visibly empty box instead of both boxes, omega can self-consistently give you less money.
I was wondering if I could make this kind of "sacrifice yourself for yourself" situation happen without involving a predictor guessing your choice before you made it. Turns out you can.