Peer-to-peer networks are often used for file sharing and communication between computers. The main advantage of using a P2P network is its ability to provide high availability and fault tolerance. If one computer in the network goes down, others can continue working as if nothing happened.

They are more common in homes, while client/server networks are more likely to be used by small to medium size businesses.

• Personal Area Networks (PAN)
  A personal area network is a network that is based on an individual's workspace. The individual's device is the center of the network with other devices connected to it. There are also wireless personal area networks.

• Home Area Networks (HAN)
  A home area network connects devices within a home environment. This network may include personal computers, tablets, smartphones, printers, TVs, and other devices.

More info: what does it stand for in computers