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Does the PoA Selection Mechanism Suffer from the “Rich Get Richer” Criticism of PoS?

Yes, PoA still faces the "rich get richer" criticism, though it is mitigated by the PoW component. In the PoS phase, validators with a larger stake have a higher probability of being selected to sign the block and earn the reward.

This concentration of rewards can lead to wealth accumulation, a common criticism of pure PoS. The PoW component, however, distributes some rewards to miners based on computational power, not just stake.

What Financial Incentive Motivates Stakers to Participate in the Block Signing Process of PoA?
What Is the Role of the Block Header in the PoW Phase of PoA?
How Does the “Nothing-at-Stake” Problem, Common in Pure PoS, Relate to PoA Security?
How Are Validators Selected in the Proof-of-Stake Phase of Proof-of-Activity?