1. A network attack in which a single entity or coordinated group gains control of more than 50% of a blockchain network's mining hashrate (in Proof of Work) or staked tokens (in Proof of Stake), enabling them to manipulate the consensus process. A successful 51% attacker can double-spend transactions, reverse confirmed transactions, and prevent new transactions from being confirmed — but cannot steal funds from wallets they do not control or alter historical blocks beyond the reorganization depth.
2. The economic cost of executing a 51% attack scales with network size. For Bitcoin, acquiring 51% of hashrate would require billions of dollars in specialized ASIC hardware and ongoing electricity costs — making it economically irrational. Smaller Proof of Work networks are significantly more vulnerable; Ethereum Classic (ETC) suffered three 51% attacks in August 2020, with attackers double-spending over $5.6 million.
See also: Proof of Stake · Double Spend · The Vault — ETC Attack Post-Mortem