The rich get richer in proof of work, too. It's not like those giant mining rigs are free. It's also true in bank accounts; the more money deposited, the more

The rich get richer in proof of work, too. It's not like those giant mining rigs are free. It's also true in bank accounts; the more money deposited, the more interest you earn. At least in proof of stake everybody gets the same interest rate regardless of deposit size. Banks generally give better rates to larger accounts.