That would only happen if we give power to our ai assistants to buy things on our behalf, and manage our budgets. They will decide among themselves who needs what and the money will flow to billionaires pockets without any human intervention. If humans go far enough, not even rich people would be rich, as trust funds, stock portfolios would operate under ai. If the ai achieves singularity with that level of control, we are all basically in spectator mode.