A permissionless consensus protocol, in contrast, allows anyone in the network to join dynamically and participate without prior permission, but instead imposes a different form of artificial cost or barrier to entry to mitigate the Sybil attack threat. Bitcoin introduced the first permissionless consensus protocol using proof of work and a difficulty adjustment function, in which participants compete to solve cryptographic hash puzzles, and probabilistically earn the right to commit blocks and earn associated rewards in proportion to their invested computational effort. Motivated in part by the high energy cost of this approach, subsequent permissionless consensus protocols have proposed or adopted other alternative participation rules for Sybil attack protection, such as proof of stake, proof of space, and proof of authority.
51% Attack
The total computational power of a decentralized proof-of-work system is the sum of the computational power of the nodes, which can differ significantly due to the hardware used. Larger computational power increases the chance to win the mining reward for each new block mined, which creates an incentive to accumulate clusters of mining nodes, or mining pools. Any pool that achieves 51% hashing power can effectively overturn network transactions, resulting in double spending. One of the Bitcoin forks, Bitcoin Gold, was hit by such an attack in 2018 and then again in 2020.
