>>whereas your model indicates that the total utility would be depleted almost i
Can you describe specific assumptions about how that "everyone gambling against everyone else" would look like? I just don't see how my model could predict total utility being depleted very quickly while the model having good chance to stay close to equilibrium.
My model is very simple: apply utility function on wealth. When you model people flipping coins against each other you will see a lot of busted ones and a lot of rich ones pretty quickly and that will mean significant utility decrease.