Byzantine Consensus

Byzantine consensus focuses on achieving agreement among a group of agents, some of which may be malicious and behave unpredictably (Byzantine faults). Current research emphasizes developing robust algorithms, such as variations on mean subsequence reduced (MSR) and push-sum methods, often incorporating multi-hop communication and event-triggered updates to improve efficiency and resilience in asynchronous networks. These advancements are crucial for secure distributed systems, particularly in applications like federated learning and blockchain technologies, where maintaining consensus despite potential attacks is paramount for reliable operation. The development of tighter graph conditions and novel consensus mechanisms continues to be a key focus, improving the efficiency and robustness of these critical systems.