Implement the am-AMM mechanism on-chain

Implement the auction-managed AMM (am-AMM) mechanism as a deployed on-chain system that realizes the Harberger lease auction for pool manager selection, manager-controlled fee setting under a cap, and rent distribution to liquidity providers.

Background

While the paper provides the mechanism design, theoretical analysis, and protocol-level rules for the am-AMM, it does not present a production implementation by the authors. The authors mention that a third-party open-source implementation exists, but they explicitly leave the task of implementation as future work.

A practical implementation would validate censorship resistance, fee dynamics, and equilibrium liquidity outcomes, and would need to address contract security, gas efficiency, and integration with existing on-chain infrastructure.