
Briefing
The core problem of Miner Extractable Value (MEV) in Automated Market Makers (AMMs) is addressed by proposing a novel application-layer mechanism. This breakthrough introduces a new AMM design that processes all block transactions by maintaining a constant potential function across the batch, fundamentally preventing arbitrage opportunities. The single most important implication is the establishment of a new paradigm where provable incentive compatibility and MEV mitigation are achieved at the smart contract level, leveraging, rather than requiring, consensus-level sequencing fairness.

Context
Prior to this research, MEV mitigation efforts were primarily focused on complex modifications to the underlying consensus protocol, often running into theoretical impossibility results regarding full MEV elimination. The prevailing limitation was the assumption that MEV must be solved at the base layer, leaving decentralized finance (DeFi) applications vulnerable to front-running and centralization risks driven by block producers auctioning off favorable transaction placement. This environment fostered a centralized off-chain ecosystem, departing from the original vision of a decentralized equilibrium.

Analysis
The core mechanism is a new AMM design that enforces a strict, pre-defined rule set for batch transaction processing, centered on maintaining a constant potential function. Conceptually, this function represents the total value within the AMM pool, and the mechanism ensures that the net change from all transactions within a block is zero for the block producer, eliminating the structural source of arbitrage profit. This fundamentally differs from previous AMM designs by shifting from a continuous, per-transaction pricing model to a batch-clearing model that is mathematically proven to be arbitrage-resilient under a single-miner model and strategy-proof under a sequencing-fair consensus.

Parameters
- Arbitrage Resilience ∞ The guarantee that a block producer cannot gain risk-free profit from transaction ordering.
- Incentive Compatibility ∞ The guarantee that an individual user’s best response is to follow the honest strategy.
- Constant Potential Function ∞ The mathematical invariant that the new AMM mechanism maintains across the batch of transactions processed within a block.
- Application Layer Paradigm ∞ The shift of MEV mitigation from the consensus protocol to the smart contract mechanism design.

Outlook
This research opens a new avenue for designing provably secure and fair decentralized finance primitives, shifting the focus from fixing the consensus layer to building resilient applications. Future work will involve applying this mechanism design paradigm to other complex DeFi primitives, such as lending protocols and derivatives, and formally quantifying the trade-offs between this batch-clearing approach and transaction latency. The long-term application is the creation of a fully strategy-proof DeFi ecosystem where MEV is structurally eliminated, leading to a more equitable and stable on-chain financial architecture in the next three to five years.

Verdict
This work fundamentally re-architects the approach to MEV mitigation, proving that provable fairness can be secured by mechanism design at the application layer.
