proof of stake is efficient but not decentralized in design. the rich get richer in proof of stake
It's even worse, because with $1k I can barely afford one miner locally. With $1M, I can afford to buy many (and better ones) and put them in an efficient location with a custom energy plan, etc. This means the actual PoS has linear gain, but PoW is closer to exponential. (The more you have the better the RoI % you can afford for yourself)
Anyone can stake and earn the same % rewards, regardless of how much they have. But if you're bankrolled with hundreds of millions of dollars, you get a much higher mining % return than the little guys because you can design and manufacture your own silicon (or get bulk discounts), colocate next to power generation, and buy electricity in bulk.
The minimum cost to acquire an ASIC so that you can even _contribute_ to the consensus is very high (thousands), and to be profitable you have to have close to free electricity. The ironic thing is, that in PoW the "rich get richer" is abstracted away into a combination of economies of scale, and access to free/very cheap power. Plus all the e-waste and wasted power, whereas PoS runs on e-waste people run in their closet, pulling as little as sub-10 watts.
Also true for proof of work. And basically any economic system that exists in the wild AFAIK.
In fact, I'd wager that the majority of opportunities for the rich to enrich themselves exist outside of the pure economic simulation world that bitcoiners use to motivate the existence of Bitcoin.
Last time I looked it was a $5 wrench. Inflation hit them too?!