That is not Economics 101, it is Economics 000. It makes great one-line political banner for election but no economical sense.
Another nonsense. Money is just an exchange tool and got nothing to do with wealth. There is also a big difference between generation of wealth through production and redistribution of wealth by different means.
If she taught you economics is a zero sum game, then we should. You said her field is game theory not economics though. She made an economics model it seems using zero sum game theory. Given that economics it not zero sum, it is only an interesting academic exercise I guess? Also it helps that zero sum game theory is the easiest to model I suppose.
And yet they are glad to work at that rate, they line up for the job because it is their current best alternative. Yet, the humane thing to do is deny them the choice they make?