Lyotard's   term for an area of discussion that allows people who speak within different schools of thought, or regions of langauge, to come together and communicate.  So, a borderzone would be an area of discussion, for example, where a teenage son and a parent might find some home of making sense together.  Disputes can surely happen in borderzones, but there is also the possibility of meaningful exchange.  Lyotard also used a Latin term "
pagus " to refer to borderzones.