
Briefing
The core research problem in blockchain mechanism design is the inherent conflict between guaranteeing miner incentive compatibility and ensuring user-centric fairness properties like Zero-fee Transaction Inclusion. This paper introduces rTFM, a novel Transaction Fee Mechanism that integrates a verifiable on-chain randomness primitive into the blockspace allocation process. This foundational breakthrough uses the randomness to select transactions, effectively decoupling the block producer’s profit-maximizing behavior from the protocol’s fairness mandate. The most important implication is that this new theoretical construction provides a provably non-manipulable blueprint for designing future blockchain architectures that prioritize equitable access to blockspace over pure auction-based efficiency.

Context
The established model for blockchain transaction ordering, exemplified by the first-price auction or even EIP-1559, fundamentally relies on a fee-based prioritization system. The unsolved foundational problem is that this reliance creates a design space where achieving standard incentive compatibility for the profit-maximizing block producer often necessitates sacrificing fairness properties, such as guaranteeing inclusion for low-value or zero-fee transactions. Prior work proved a general impossibility of satisfying both non-manipulability and the new fairness constraints simultaneously, establishing a critical theoretical limitation in Transaction Fee Mechanism design.

Analysis
The rTFM mechanism fundamentally differs from previous approaches by introducing a stochastic element to the block inclusion rule. Conceptually, instead of a pure deterministic auction where the highest bid always wins, the rTFM uses a publicly verifiable, on-chain random number to probabilistically determine which transactions are included. The algorithm ensures that a user’s probability of inclusion is monotonically increasing with their bid, while simultaneously guaranteeing a non-zero probability even for zero-fee transactions. The block producer is incentivized to truthfully follow the protocol because the randomness makes manipulation non-profitable, as any deviation risks a lower overall expected utility than simply following the random selection rule.

Parameters
- Zero-fee Transaction Inclusion ∞ A novel fairness constraint ensuring non-zero probability of block inclusion even without an explicit fee.
- Monotonicity Property ∞ The guarantee that a higher transaction fee bid never decreases the probability of a transaction’s inclusion.
- On-Chain Randomness ∞ The cryptographic primitive used as a public commitment device to secure the rTFM selection process.

Outlook
This theoretical work opens new avenues for mechanism design research that leverage cryptographic randomness to enforce social or fairness constraints without compromising economic security. In 3-5 years, the rTFM blueprint could be implemented in L1 and L2 protocols to fundamentally re-architect blockspace markets, moving beyond pure fee auctions to a hybrid model. This shift will enable a new class of applications requiring predictable, low-cost access, thereby fostering a more equitable and censorship-resistant on-chain environment.

Verdict
This research delivers a foundational mechanism design breakthrough by proving that integrating on-chain randomness is the necessary cryptographic tool to align miner incentives with equitable blockspace access.
