In a Proof-of-Useful-Work model with quadratic costs and linear block rewards, the unique equilibrium has every miner participating, and miners profit most by concentrating their useful tasks into one block.
How much should you pay for restaking security?
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abstract
Restaking protocols have aggregated billions of dollars of security by utilizing token incentives and payments. A natural question to ask is: How much security do restaked services \emph{really} need to purchase? To answer this question, we expand a model of Durvasula and Roughgarden [DR24] that includes incentives and an expanded threat model consisting of strategic attackers and users. Our model shows that an adversary with a strictly submodular profit combined with strategic node operators who respond to incentives can avoid the large-scale cascading failures of~[DR24]. We utilize our model to construct an approximation algorithm for choosing token-based incentives that achieve a given security level against adversaries who are bounded in the number of services they can simultaneously attack. Our results suggest that incentivized restaking protocols can be secure with proper incentive management.
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Proof of Work With External Utilities
In a Proof-of-Useful-Work model with quadratic costs and linear block rewards, the unique equilibrium has every miner participating, and miners profit most by concentrating their useful tasks into one block.