I think you are wrong, because you assume that the ability of people to exert power (to influence prices, for example) is independent on income. But that's prob

I think you are wrong, because you assume that the ability of people to exert power (to influence prices, for example) is independent on income. But that's probably not true. So for example, in your thought experiment, some of the people could start a business with that million of dollars (invest it), and become more independent. That would be competition (or substitute, depends how you look at it), and it would prevent from rising the real price to the original level. If you suddenly give everyone a big sum of money (which is resources), you actually equalize power.