
Briefing
The core research problem centers on designing an economically secure Transaction Fee Mechanism (TFM) for emerging multi-proposer or leaderless blockchain architectures, where the interaction between multiple block producers must be explicitly modeled. The foundational breakthrough is the proposal of the First-Price Auction with Equal Sharing (FPA-EQ) mechanism, which is formally proven to satisfy Strongly Block Producer Incentive Compatible (Strongly BPIC) properties, ensuring that all block producers are motivated to follow the intended allocation rule in a Pareto-dominant Nash equilibrium. This new theory is the first to formally address the ‘game within the game’ of multi-proposer systems, providing a critical blueprint for the long-term decentralization and economic stability of rollups and next-generation consensus protocols.

Context
Prior to this research, Transaction Fee Mechanisms were predominantly designed for single block producers, such as in Bitcoin’s First-Price Auction or Ethereum’s EIP-1559, which focuses primarily on user incentives and congestion pricing. The established theoretical limitation was the lack of a formal game-theoretic model for multi-proposer environments, where multiple parties concurrently propose blocks or parts of a block. This oversight created a fundamental challenge for decentralized sequencing solutions, as the mechanism could not guarantee that competing block producers would behave honestly without compromising overall system welfare or creating new collusion vectors.

Analysis
The FPA-EQ mechanism fundamentally differs from previous TFMs by explicitly modeling the multi-proagent environment. It works by having multiple block producers submit their proposals, and the final aggregated block is determined by an allocation rule that prioritizes the highest-value transactions, similar to a first-price auction. The key innovation is the Equal Sharing component ∞ the resulting revenue is shared equally among all block producers who participated in the round.
This sharing mechanism is the cryptographic primitive that enforces the Strongly BPIC property. By guaranteeing that the honest strategy is the Pareto-dominant Nash equilibrium for the block producers, FPA-EQ aligns the collective incentive of the producers with the welfare of the network, preventing individual producers from strategically deviating to maximize their own profit at the expense of others.

Parameters
- 63.2% Expected Welfare Fraction ∞ The guaranteed fraction of the maximum-possible expected welfare that the FPA-EQ mechanism achieves at equilibrium.
- Strongly BPIC ∞ The new incentive-compatibility condition that ensures all block producers are motivated to follow the intended allocation rule.
- Multi-Proposer Game Model ∞ The new extensive-form (multi-stage) game model introduced to formally reason about the game theory of multi-proposer TFMs.

Outlook
The FPA-EQ mechanism provides a direct, deployable solution for the economic security of decentralized sequencers and any blockchain architecture utilizing concurrent or multi-proposer block production. The next steps in this research involve extending the model to account for user-level collusion and the integration of cryptographic tools like Verifiable Delay Functions to further obscure transaction intent. In 3-5 years, this foundational mechanism design will likely be integrated into Layer 2 rollups and sharded Layer 1s, enabling truly decentralized and economically fair block production that is robust against internal block producer manipulation.

Verdict
The FPA-EQ mechanism provides the foundational economic blueprint necessary to ensure incentive-aligned, stable decentralization in the next generation of multi-proposer blockchain architectures.
