
Briefing
The research addresses the foundational problem of designing incentive-compatible transaction fee mechanisms for leaderless, multi-proposer consensus architectures, such as Directed Acyclic Graph (DAG) protocols. It introduces an extensive-form game model and the Strongly Bayes-Nash-Incentive-Compatible (Strongly BPIC) property, which formally guarantees that all block producers are motivated to adhere to the intended fee allocation rule. This breakthrough culminates in the First-Price Auction with Equal Sharing (FPA-EQ) mechanism, a novel primitive that fundamentally ensures the economic alignment of concurrent block proposers, a critical step toward securing high-throughput decentralized systems.

Context
Prior to this work, transaction fee mechanism (TFM) design was primarily modeled under the assumption of a single, sequential block producer, as seen in traditional chain-based architectures. This established theory proved insufficient for a new generation of high-throughput, leaderless protocols where multiple validators concurrently contribute to block production, creating a complex, multi-stage game. The prevailing challenge was the lack of a robust game-theoretic framework to ensure that all concurrent block producers are individually and collectively incentivized to maximize system welfare.

Analysis
The core mechanism, FPA-EQ, solves the multi-proposer incentive problem by decoupling the user bidding process from the block producer’s reward structure. Users submit a first-price bid, and the protocol then ensures that the resulting transaction fees are equally shared among the multiple block producers who contributed to the block’s confirmation. The theoretical foundation is the Strongly BPIC property, which proves that following the FPA-EQ rule is the dominant, welfare-maximizing strategy for all block producers. This fundamentally differs from previous single-leader models by transforming a complex, multi-player game into a coordinated outcome that maximizes social welfare under a provable equilibrium.

Parameters
- Welfare Guarantee ∞ 63.2% The minimum fraction of the maximum-possible expected social welfare guaranteed by the FPA-EQ mechanism at equilibrium.
- Incentive Property ∞ Strongly BPIC A new game-theoretic property ensuring all block producers are motivated to follow the intended fee allocation rule.

Outlook
This foundational work establishes the necessary economic primitive for securing the next generation of high-throughput, leaderless decentralized architectures. The FPA-EQ mechanism and the Strongly BPIC property open new research avenues in multi-proposer mechanism design, particularly for sharded and DAG-based protocols. In the next three to five years, this theory will enable the deployment of provably fair and economically stable leaderless consensus systems, fundamentally improving transaction throughput and reducing the complexity of fee markets in highly concurrent environments.

Verdict
The introduction of the Strongly BPIC property and the FPA-EQ mechanism provides the essential economic foundation for incentive-compatible, leaderless consensus protocols, securing the path to scalable and fair transaction ordering.
