
Briefing
The core research problem is the systemic centralization and instability caused by Maximal Extractable Value (MEV) extraction in Automated Market Makers (AMMs), which is fundamentally enabled by the block producer’s control over transaction ordering. This paper proposes a foundational breakthrough by shifting the solution from the consensus layer to the application layer, introducing a novel AMM mechanism that processes all transactions within a block in a single, batched execution that maintains a constant potential function. The single most important implication is the creation of a new paradigm for DeFi, where application-layer mechanism design can provably ensure strategy-proofness and arbitrage resilience, complementing and leveraging the guarantees of underlying consensus protocols.

Context
Before this work, the prevailing theoretical challenge was the perceived impossibility of fully solving the general MEV problem solely at the consensus layer, given the inherent power of the block producer to control transaction inclusion and ordering. This limitation led to a highly centralized off-chain economy where block producers could auction off favorable positions, causing the decentralized infrastructure to operate in a manner that significantly departed from its intended, trustless equilibrium.

Analysis
The paper’s core mechanism is a smart contract-level swap function that operates on all transactions in a block as a single, indivisible batch. This batch-processing approach enforces a pre-defined rule, such as maintaining the constant-product invariant, after all trades are executed, effectively eliminating the temporal advantage needed for front-running and back-running within the block. This design fundamentally differs from previous approaches by ensuring arbitrage resilience ∞ meaning a block producer cannot gain risk-free profit even with full control over the block ∞ and by proving incentive compatibility when combined with a consensus layer that provides sequencing fairness.

Parameters
- Arbitrage Resilience ∞ Miner cannot gain risk-free profit even with full control over block contents and sequencing.
- Incentive Compatibility ∞ Any individual user’s best response is to follow the honest strategy when sequencing fairness is present.
- Batch Execution ∞ All transactions within a block are processed together to maintain a constant potential function.

Outlook
This theoretical framework opens a new avenue for designing provably secure and fair decentralized applications, moving beyond heuristic MEV mitigation to mathematically guaranteed strategy-proofness. In the next three to five years, this research will likely lead to the deployment of new-generation AMMs and other DeFi primitives that are fundamentally immune to ordering-based MEV, enabling a more stable and equitable on-chain financial architecture by aligning application incentives with protocol security.

Verdict
This research establishes a new foundational principle that application-layer mechanism design is a necessary and sufficient complement to consensus protocols for achieving provable economic security in decentralized finance.
