Uhm, I see the problem here:

m = random.uniform(0, pot)

Once somebody wins a few games, he will fish "wealth" from a bigger and bigger pot, even if he plays against the poor. According to this, you just have to be rich to be even richer. However, your wealth per se doesn't affect your future wealth, this is clear, right?

Maybe this could be a poker game simulation. Certainly not an economics simulation.