Except that no one is asking for your wallet to avert the Doom scenario.
What if instead we imagine that you are the Microsoft CEO and a stranger stops you in a dark alley and tells you that if you give them 140bn dollars they will create God and you get to be God's boss.
That seems closer to the standard Pascals mugging format.
Interesting idea, and intuitively it makes sense. I can think of examples of both types of player in my own life.
I enjoy that your solutions boil down to "Sociologists, mathematicians' are toddlers, distract them with a toy" and "Mathematicians, try using your social skills".
In my experience though, rather than trying to manipulate people, it usually works better to be explicit about intentions. As a really blatant example, our local pickleball club hosts separate competitive and casual nights. These both are attended by many of the same people, and they... (read more)