A separate game from the gods' game, run by the dynastic families who own the ninth floor's armies.
The deity notes in The Dungeon Anarchist's Cookbook place it in context. Crawler Coolie writes that The Celestial Ascendency on the twelfth floor is a different game from the faction wars game, with its own followers and storyline. His second note adds the other half: deity guest slots are often bought by celebrities as a safe way to get in on the game, for those who are not part of the dynastic families who control the armies of the ninth floor.
The two games are the shape of the power behind everything Carl is fighting.
The ninth floor's war game, owned by the dynastic families.
Also appears in books you've already read — spoiler-safe to their endings: