> Proof of Stake not only replicates the same dynamics that Bitcoin was designed to eliminate (more wealth -> more power in system)
Bitcoin may have been _aimed_ at eliminating the "rich get richer" system, but in fact it failed at it, as others comment below. It has been formally shown [1] that investors who have enough money to buy the most efficient ASICs out there earn disproportionately more, compared to smaller investors who can only afford less efficient ASICs/GPUs; in contrast, in PoS every investor has a fixed ROI for each one of their $ (regardless of their total investment); as also shown in that paper, this is the best you can hope for in an anonymous system. In other words, unless you can authenticate users and distribute rewards in a democratic (and possibly egalitarian) manner, the rich will always get richer, and the rate with which this happens is actually worse in PoW than PoS.
Bitcoin may have been _aimed_ at eliminating the "rich get richer" system, but in fact it failed at it, as others comment below. It has been formally shown [1] that investors who have enough money to buy the most efficient ASICs out there earn disproportionately more, compared to smaller investors who can only afford less efficient ASICs/GPUs; in contrast, in PoS every investor has a fixed ROI for each one of their $ (regardless of their total investment); as also shown in that paper, this is the best you can hope for in an anonymous system. In other words, unless you can authenticate users and distribute rewards in a democratic (and possibly egalitarian) manner, the rich will always get richer, and the rate with which this happens is actually worse in PoW than PoS.
[1] https://arxiv.org/pdf/1907.02434.pdf