Static revelation principle for transaction fee mechanisms
Abstract This article analyzes the static revelation principle applied to Transaction Fee Mechanisms (TFMs) in blockchain environments that must comply with MIC (Miner Inclusion Constraint), UIC (User Inclusion Constraint), and c-SCP (coalition strategy proofness). It is shown that, without loss of generality, any mechanism that produces equilibrium outcomes can be simulated by a direct and truthful mechanism that induces the same observable outcomes. This facilitates the design and testing of robustness properties in systems where miners and users interact.
Context and motivation In modern blockchains, transaction fee mechanisms determine which transactions are included in each block and what payments miners receive. To be useful in production, these mechanisms must respect practical constraints such as MIC, which guarantees correct incentives for the miner to include transactions; UIC, which ensures that users can be included when their bid justifies it; and c-SCP, which prevents profits for coalitions of actors who collude. Understanding when it is sufficient to study truthful mechanisms greatly simplifies analysis and implementation.
Informal statement of the principle The static revelation principle establishes that for any TFM that induces an allocation of inclusion and payments in equilibrium, there exists a direct and truthful TFM that induces the same observable allocation and payments under the same strategic conditions. In other words, no generality is lost by restricting oneself to mechanisms where users directly report their valuations and where the best strategy is to tell the truth.
Technical transformation for mechanisms that produce a single bid per user Suppose an original TFM that asks each user for a message and produces a single bid or offer per user that the miner then uses to order transactions. The key transformation builds a direct mechanism where each user reports their true valuation and the mechanism internally generates the equivalent bid that the user would have sent in the equilibrium of the original mechanism. The process can be described in steps: 1 Define a simulation function that takes the valuation reported by each user and calculates the single bid that the user would have sent in the equilibrium of the original mechanism given the expected distribution of other bids. 2 Redesign the transaction selection rule and the payment rule so that they use those simulated bids instead of strategic messages. 3 Adjust complementary payments so that the ex post utility of each user is identical to what they would have obtained in the original equilibrium if they had followed the strategy that the simulator assigns to their valuation. 4 Verify that MIC and UIC are maintained: the miner observes the same simulated bids and obtains the same inclusion revenues, so their incentives to include or exclude transactions remain aligned. 5 Show that c-SCP is preserved because any coordinated deviation by a coalition would produce the same effects on the simulated bids and therefore does not improve the coalition's total utility compared to the simulated solution.
Elements of the proof The formal demonstration requires constructing a mapping between strategy profiles of the original mechanism and report profiles in the direct mechanism, and verifying three essential properties: correspondence of observable outcomes (transaction allocation and payments), truthfulness incentive for each user, and preservation of incentives for the miner and coalitions. The preservation of MIC and UIC is argued by observing that the ordering and payment rules seen by the miner are indistinguishable between both mechanisms. c-SCP is preserved through a transfer accounting that prevents collective improvements through coordinated deviations.
Practical implications This result has several important consequences for the design of TFMs in blockchains and similar systems. First, it allows restricting the mechanism search space to direct and truthful mechanisms without losing optimal solutions from the perspective of allocation or revenue. Second, it facilitates security proofs and implementations because the strategic logic is moved into the mechanism itself rather than depending on multiple complex strategy profiles. Third, it reinforces the possibility of aligning incentives between users and miners through payment and validation rules that make gains from strategic behavior redundant.
Alignment of strategies between miners and users A central aspect is how the design can align the miner's actions with user honesty. By using the truthful version of the mechanism, the miner faces signals equivalent to those of the original mechanism but without strategic ambiguity: expected payments per block and inclusion priorities are defined transparently. This reduces opportunities for manipulation such as selective inclusion or censorship when payment rules incorporate penalties or compensations that preserve MIC and UIC.
Technical conclusion The static revelation principle for TFMs with MIC, UIC, and c-SCP demonstrates that any implicit strategic behavior can be reflected through a direct and truthful mechanism that produces the same observable outcomes and maintains the same incentive properties. For blockchain protocol designers and auditors, this simplifies analysis, verification, and deployment. Furthermore, it allows building more robust mechanisms against coalitions and facilitates operational compliance in production environments.
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