
Briefing
This research addresses the core problem of designing a transaction fee mechanism that can simultaneously eliminate Maximal Extractable Value (MEV) opportunities and resist strategic manipulation by both users and block producers. The foundational breakthrough is a rigorous impossibility theorem demonstrating that any deterministic mechanism satisfying the three critical properties ∞ Dominant Strategy Incentive Compatibility (DSIC) for users, Miner Manipulation Incentive Compatibility (MMIC) for block producers, and Omitting Collusion Avoiding (OCA-proofness) for user coalitions ∞ must be “trivial,” meaning it never allocates the transaction. This new theory implies that protocol architects must accept a fundamental trade-off, compromising on either user truthfulness, block producer neutrality, or collusion resistance, thereby re-framing the pursuit of equitable and stable blockchain transaction ordering.

Context
The prevailing academic and engineering challenge in blockchain architecture centered on mitigating the systemic risks of MEV, which introduces centralization pressures and user exploitation. Prior to this work, the goal was to construct transaction fee mechanisms that were simultaneously strategy-proof for users (encouraging truthful bidding) and non-manipulable for block producers (preventing profit from transaction reordering or censorship). This pursuit was often framed by mechanisms like EIP-1559. The unsolved foundational problem was whether such a mechanism could also be secured against collusion among users, a crucial, overlooked vector for market manipulation and efficiency loss.

Analysis
The paper’s core mechanism is a formal impossibility proof rooted in auction theory. It defines the ideal mechanism by three properties ∞ DSIC ensures users bid their true value; MMIC ensures block producers cannot gain by inserting fake bids or omitting real ones; and OCA-proofness ensures no coalition of users can profit by strategically omitting one of their bids. The proof demonstrates that a mechanism satisfying MMIC must result in zero revenue for the block producer, as the burn and payment rules must be equal.
By combining this zero-revenue condition with the DSIC and OCA-proof constraints, the logical space of possible allocation rules collapses. The only function that can satisfy all three conditions simultaneously is one that allocates the item (the transaction) with zero probability, which is the definition of a trivial, non-functional mechanism.

Parameters
- Incompatible Properties ∞ DSIC, MMIC, and OCA-proofness are the three incentive criteria proven to be mutually exclusive in a non-trivial deterministic mechanism.
- Miner Revenue Constraint ∞ The MMIC property necessitates that the block producer’s revenue must be precisely zero to prevent manipulation.
- Trivial Mechanism Outcome ∞ The only mechanism satisfying all three core properties is one that never allocates the transaction.
- Mechanism Class ∞ The impossibility applies specifically to deterministic transaction fee mechanisms.

Outlook
This impossibility result fundamentally shifts the research agenda for transaction ordering and MEV mitigation. Future work will pivot away from seeking a universally perfect deterministic mechanism and instead focus on exploring three primary avenues ∞ the design of randomized mechanisms, which may bypass the deterministic constraints; the study of non-anonymous mechanisms, which introduce new centralization trade-offs; or the strategic acceptance of a compromise on one of the core incentive properties, such as moving to non-DSIC mechanisms that require more complex user strategies but may achieve better collusion resistance and liveness. This new theoretical boundary will govern all future blockchain economic architecture.

Verdict
This foundational impossibility theorem decisively re-frames the pursuit of equitable blockchain transaction ordering, mandating a strategic compromise on incentive design principles.
