Briefing
The core research problem is the lack of a formal, abstract theoretical basis for Maximal Extractable Value (MEV), which has allowed transaction-ordering attacks to proliferate and extract over a billion dollars without a framework for provable security. This paper proposes a foundational theory of MEV by introducing a general, abstract model of blockchains and smart contracts, centrally defining MEV through the axiomatization of adversarial knowledge → the maximum gain an actor can achieve using their private information and mempool data. The single most important implication is that this formal framework enables the design and mathematical proof of security for new consensus mechanisms and transaction ordering protocols, fundamentally shifting the paradigm from reactive mitigation to proactive, provably MEV-secure blockchain architecture.
Context
Prior to this work, the study of MEV was largely empirical, focusing on observed attacks like front-running, sandwiching, and liquidations, with no universal, mathematically rigorous definition. The prevailing theoretical limitation was the inability to formally model the adversary’s power → specifically, the transaction-ordering power of block proposers → within a general framework that applies across different blockchain architectures and smart contract types. This absence precluded the creation of security proofs that could formally guarantee a protocol’s resilience against MEV extraction.
Analysis
The core mechanism is a formalization of MEV based on game theory and information theory. The paper defines MEV not just as a monetary value, but as a function of the adversary’s knowledge over the mempool and the contract state. It introduces the concept of a $$-bounded contract, which is a contract where the value an adversary can extract is finite, a necessary condition for MEV to be well-defined.
This differs fundamentally from previous approaches by moving beyond a simple economic quantification to a cryptographic and game-theoretic definition rooted in the formal limits of an adversary’s ability to deduce and execute profitable transaction sequences. The theory provides a rigorous mathematical structure to analyze and constrain the transaction selection and ordering power of block producers.
Parameters
- $1.2 billion dollars → Total value extracted from DeFi protocols by MEV attacks prior to this paper’s publication.
- $$-bounded contracts → A formal property of smart contracts ensuring the maximum extractable value remains finite and well-defined.
- Adversarial Knowledge Axiomatization → The formal process of defining the exact private and public information available to a malicious block producer.
Outlook
This foundational theory opens a new avenue for research into provably fair transaction ordering and MEV-resistant consensus. In the next 3-5 years, this framework will be utilized by protocol engineers to formally verify the MEV-security of new block-building mechanisms, such as decentralized sequencing or threshold encryption schemes. Potential real-world applications include the development of next-generation DeFi protocols with provable guarantees against front-running and sandwich attacks, ultimately leading to a more equitable and economically stable execution layer for all decentralized applications.
Verdict
This research provides the essential, long-missing formal language required to mathematically analyze and ultimately solve the fundamental security and economic crisis posed by Maximal Extractable Value.
