How about a multiplayer version that's played on a console, no internet required, system?
Still needs servers. How do you think people connect to each other on consoles? It's all through servers.
I think she means multiplayer on one screen, with multiple controllers. Which would drive me bonkers.
There are some ways of making a serverless network; they usually use high-bandwidth users as servers, or link users directly, if inefficiently, to each other through independently maintained websites that can coordinate groups of players.
Needless to say, such things may be suited to file sharing, but are unsuitable for games, and often annoying to gamers. (The former method is used by applications such as Kazaa and Limewire, the latter by the protocol Bittorrent.)