Blockchain consensus algorithms allow distributed networks to agree on a single transaction history. The document discusses several popular consensus algorithms including proof of work (PoW), proof of stake (PoS), practical Byzantine fault tolerance (PBFT), Istanbul Byzantine fault tolerance (IBFT), proof of authority (PoA), and RAFT. It provides overviews of how each algorithm works and compares their properties such as finality, tolerance for malicious nodes, trust requirements, and energy usage.