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What Mechanism Ensures the Randomness and Fairness of Validator Selection?

The randomness and fairness of validator selection in PoS-based systems, including the PoS component of PoA, are typically ensured through a Verifiable Random Function (VRF). A VRF is a cryptographic function that produces a unique, non-forgeable, and publicly verifiable random output.

This output is then used to select the next set of validators, ensuring that the selection process is unpredictable and transparent to all participants.

What Are the Risks If the Hash Function Used for Contract Proof Is Found to Be Insecure?
How Does the Size of the Hash Output (E.g. SHA-256) Relate to the Nonce?
How Is Validator Selection Randomized in PoS to Prevent Centralization?
What Is the Potential Impact of Validator Collusion on the Fairness of Transaction Ordering?