
Briefing
The core research problem is the systemic vulnerability of existing blockchain consensus protocols to selfish mining , a profit-maximizing deviation exacerbated by network rushing , highly variable MEV rewards, and petty-compliant miners. The foundational breakthrough is MAD-DAG (Mutually-Assured-Destruction Directed-Acyclic-Graph), a new DAG-based protocol that introduces a novel ledger function designed to discard the transaction contents of any equal-length chains competing to be the longest. This mechanism effectively eliminates the financial incentive for selfish mining by cryptographically destroying the high-value MEV that a rational adversary attempts to accumulate privately, thereby ensuring a provably higher security threshold and restoring integrity to the block production process.

Context
The established challenge in blockchain security, particularly in DAG-based structures and Nakamoto Consensus, is the selfish mining attack , where a miner with a minority of hash power can profitably withhold blocks to gain an advantage. Prior state-of-the-art protocols, such as Colordag, were only proven secure under impractical latency assumptions or completely failed under real-world “adverse conditions” like high block reward variability (MEV) and rushing, causing their theoretical security threshold → the minimum computational power required for a profitable attack → to collapse to $0%$.

Analysis
MAD-DAG fundamentally differs from previous approaches by introducing a ledger function based on the principle of Mutually-Assured-Destruction. The new primitive is a rule that dictates that if two chains of equal length are competing for inclusion, the protocol discards the transaction contents of both competing chains, rather than simply selecting one. This logic is a direct, game-theoretic countermeasure to the rational miner’s strategy → the selfish miner’s entire goal is to accumulate a private chain containing high-value MEV blocks. By making the destruction of this value a consequence of the competition itself, the protocol ensures that the expected profit of a selfish attack falls below zero unless the miner controls a significant fraction of the network power.

Parameters
- Security Threshold (Adverse Conditions) → 11% to 31%. This is the minimum fraction of computational power a miner requires to profit from selfish mining in MAD-DAG under high MEV variability and petty-compliant miners.
- Security Threshold (Bitcoin/Colordag) → 0%. The minimum computational power required to profit from selfish mining in prior protocols under the same adverse conditions.
- Adversary Model → Rational Miner using Markov Decision Process (MDP). The formal model used to calculate the upper bound on selfish mining revenue and prove the new security threshold.

Outlook
The introduction of a provably secure, practical consensus protocol under high MEV conditions opens new avenues for mechanism design in decentralized systems. Future research will likely focus on applying this mutually-assured-destruction principle to Proof-of-Stake environments, which face similar rational-adversary challenges in block production. In 3-5 years, this theoretical breakthrough could unlock a new generation of high-throughput DAG-based architectures that are fundamentally immune to the most sophisticated forms of MEV-driven consensus manipulation, leading to a more equitable and stable foundation for decentralized finance and global computation.

Verdict
The MAD-DAG ledger function establishes a new foundational standard for consensus security, proving that rational MEV extraction can be cryptoeconomically disincentivized through a novel destruction mechanism.
