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How Does the “Base Fee” and “Priority Fee” System Work under EIP-1559?

The base fee is the minimum price per unit of gas required for a transaction to be included in a block, and it is determined algorithmically by network demand. The priority fee is an optional "tip" paid by the user to the validator to incentivize them to prioritize the transaction.

Users set a "max fee" which covers both. If the max fee is higher than the base fee plus the priority fee, the excess is refunded.

How Does EIP-1559 Affect Gas Fee Calculation?
How Does the Implementation of EIP-1559 Change the Dynamic of Transaction Fees for Miners?
How Has Ethereum’s EIP-1559 Changed the Dynamics of Gas Fee Bidding?
What Is EIP-1559 and How Did It Change the Gas Fee Mechanism?