I would probably call this a hybrid game- as we have elements of both ordering and grouping. The ordering is clear (years hired), and the groups are far from clear. The specialites basically serve to determine who can and cannot go where, so rather than assigning professors to groups, we are determining their order, and using their group(s) to further refine our understanding of that order. This is a tough game to setup (i'm a big fan of subscripts/superscripts for games like this), but overall, I want you to focus primarily on understanding the scenario the game is describing, and the ways that the rules interact with that scenario. Categorizing games is helpful, but not necessary for sucess on hybrid games that include elements of several things.