This is not actually possible. You can always play the "I simulated you and put the money in the place you don't choose" game

But the obvious response to that game is randomisation among the choice options: there is no guarantee of winning, but no-one else can do better than you either. It takes a new "twist" on the problem to defeat the randomisation approach, and show that another agent type can do better.

I did ask on my original post (on Problematic Problems) whether that "twist" had been proposed or studied before. There were no references, but if you have one, please let me know.