What is the methodology called that is used for managing a peer-to-peer network?

Decentralized Administration is the correct term used for managing a peer-to-peer network. In a peer-to-peer (P2P) network, each node or participant acts as both a client and a server, allowing them to share resources and communicate directly without relying on a central authority or server. This structure promotes flexibility and resilience since each node operates independently and can manage its own resources.

The decentralized approach aligns with the fundamental characteristics of P2P networks, where the power and responsibility are distributed among all participants. This enables easier scalability, as new nodes can be added without major alterations to a central system or hierarchy. Additionally, decentralized administration supports equality among peers, facilitating efficient collaboration and resource sharing.

Other methodologies, such as centralized administration, imply a hierarchical structure where a single entity manages the network, which contrasts sharply with the decentralized nature of a peer-to-peer system. Similarly, collaborative and shared administration suggest varying degrees of cooperation but do not capture the essence of a true peer-to-peer setup as accurately as decentralized administration does.