
Briefing
Maximal Extractable Value (MEV) poses a significant threat to public blockchains, yet its theoretical underpinnings remain insufficiently established, hindering the development of robust defenses. This paper introduces a formal theory of MEV, grounded in an abstract model of blockchains and smart contracts, which provides a rigorous framework for defining adversarial capabilities and their potential gains. This foundational breakthrough enables the construction of provable security guarantees against MEV attacks, moving beyond empirical observations to mathematically assured MEV-freedom in future blockchain architectures.

Context
Before this research, the pervasive economic attacks known as Maximal Extractable Value lacked a consistent and rigorous theoretical foundation. Despite empirical evidence of MEV’s substantial financial impact on DeFi protocols and its detrimental effects on blockchain networks, the absence of formal definitions for security properties and adversarial powers made it impossible to mathematically prove whether a smart contract was truly MEV-free. This theoretical limitation stemmed from the arbitrary nature of block construction, where consensus nodes could exploit transaction ordering to maximize their gain at users’ expense.

Analysis
The paper’s core mechanism is a formal theory of MEV, built upon an abstract model of blockchains and smart contracts. This model precisely characterizes the adversary as an entity capable of controlling block construction, inserting their own transactions, and reordering existing ones. A key primitive introduced is the concept of “universal MEV,” which defines the maximal gain achievable by any adversary, irrespective of their specific identity or current wealth.
This approach fundamentally differs from previous informal notions by axiomatizing adversarial knowledge, framing MEV as the maximal gain an adversary can achieve by executing a sequence of transactions deducible from their private knowledge and the mempool. This formalization provides a concrete basis for rigorous security proofs, enabling a shift from ad-hoc mitigations to theoretically sound MEV-resistant protocol designs.

Parameters
- Core Concept ∞ Maximal Extractable Value (MEV)
- Research Focus ∞ Formal Theory
- Adversary Model ∞ Transaction Reordering, Dropping, Insertion
- Key Contribution ∞ Universal MEV Definition
- Platform Context ∞ Public Blockchains, Smart Contracts
- Primary Venue ∞ arXiv
- Publication Date ∞ May 25, 2025

Outlook
This foundational research opens new avenues for developing sophisticated analysis tools capable of assessing the MEV-freedom of smart contracts and entire protocols. In the next three to five years, this theoretical framework could enable automated auditing of MEV exposure, leading to the design of blockchain architectures with provable resistance against economic attacks. The precise characterization of adversarial capabilities within an abstract model will guide the development of fair transaction ordering mechanisms and more robust decentralized finance protocols, ultimately enhancing user protection and system integrity across the blockchain ecosystem.
