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What Are the Different Payout Schemes Used by Mining Pools (E.g. PPLNS, PPS)?

Mining pools use various payout schemes to distribute rewards. Pay-Per-Share (PPS) offers a fixed, guaranteed payout for each share submitted, regardless of whether the pool finds a block, transferring risk to the pool operator.

Pay-Per-Last-N-Shares (PPLNS) calculates a miner's payout based on the number of shares they submitted during the last 'N' shares found by the pool, rewarding loyalty and exposing miners to pool luck.

What Is the Difference between the ‘Pay-Per-Share’ (PPS) and ‘Proportional’ (PROP) Reward Systems in Mining Pools?
How Does a Pool’s Payout Scheme Affect Miner Loyalty and Centralization?
Are There Hybrid Payment Methods like Pay-Per-Last-N-Shares (PPLNS) and How Do They Work?
What Is the Difference between Pay-Per-Share (PPS) and Proportional (PROP) Mining Pool Payment Methods?