Would it be possible for every person to host the server.... And yet no one.

Would it be possible for a networked game to have no server hosting. Where all clients send their information that is supposed to be sent to everyone instead of sending the information to a server that then in turn sends the information to everyone else. I have provided an image that might explain what I just said better.

the short answer is…yes, its called peer to peer networking where every connection shares the same authoritative power. the long answer is too long