
Briefing
The core research problem centers on the systemic instability and user harm caused by Maximal Extractable Value (MEV) within Automated Market Makers (AMMs), which incentivizes block producers toward centralization and consensus manipulation. The foundational breakthrough is the introduction of a new AMM mechanism that applies principles of mechanism design directly at the application layer, processing transactions in batches according to rules that maintain a constant potential function. This novel approach fundamentally demonstrates that provable guarantees like arbitrage resilience and strategy proofness are achievable at the smart contract level, circumventing the impossibility results previously established for purely consensus-level MEV mitigation, thereby ensuring a more equitable and decentralized equilibrium for the future of decentralized finance architecture.

Context
Prior to this work, the prevailing theoretical limitation was the apparent impossibility of solving the generalized MEV problem solely at the consensus layer, where a single block producer holds unilateral control over transaction inclusion and ordering. This control fosters an off-chain ecosystem of searchers and builders competing to extract value via front-running and back-running, creating a systemic risk that undermines both user fairness and the security of the underlying consensus protocol through potential block reorgs or forks. The academic challenge was to find a mechanism that could align the incentives of all participants ∞ users, block producers, and arbitragers ∞ without requiring a fundamental overhaul of the underlying Byzantine Fault Tolerance or longest-chain consensus.

Analysis
The core mechanism is an application-layer smart contract that functions as a batch-processing AMM, fundamentally differing from continuous, sequential-order book models. The logic dictates that all transactions submitted within a block are processed simultaneously as a single batch, not one-by-one. The mechanism is designed to satisfy a constant potential function across the batch execution, which conceptually means the aggregate state change must adhere to a predefined, invariant rule.
This construction ensures that no single agent, including the block producer, can strategically order transactions within the batch to extract risk-free arbitrage profit, thus achieving arbitrage resilience. When combined with an underlying consensus that offers sequencing fairness , the mechanism is proven to be strategy proof , incentivizing users to submit their true demand because strategic misreporting offers no gain.

Parameters
- Arbitrage Resilience ∞ Guaranteed for legacy blockchains where a single miner proposes the block.
- Strategy Proofness ∞ Guaranteed for blockchains that offer consensus-level sequencing fairness.
- Mechanism Layer ∞ Application layer (smart contract) rather than the consensus layer.
- Core Invariant ∞ Constant potential function maintained after processing the transaction batch.

Outlook
This research establishes a new paradigm for decentralized finance (DeFi) security, shifting the focus from impossible consensus-level fixes to provable application-layer mechanism design. The immediate next step involves the formal implementation and auditing of this batch-processing AMM design on existing smart contract platforms to validate its performance under real-world transaction load. Within 3-5 years, this theory could unlock a new generation of DeFi primitives ∞ including exchanges, lending protocols, and derivatives ∞ that are provably MEV-resistant by construction, leading to a more stable, fairer, and user-centric on-chain economy where the cost of interacting with decentralized applications is no longer silently taxed by extractive MEV strategies.

Verdict
The introduction of provably strategy-proof mechanisms at the application layer fundamentally redefines the architectural boundary for Maximal Extractable Value mitigation, establishing a new path toward incentive-compatible decentralized finance.
