Deterministic sets are defined by their finite interactions, which can simultaneously classify the same set of actors in multiple ways. A deterministic actor chooses the roles that they play for themselves, now that’s not to imply the actor is intelligent or capable; the choice could be pure randomness. Whether they are accepted in that role is up to the other deterministic actors to recognize.

“All the world’s a stage, And all the men and women merely players; They have their exits and their entrances, And one man in his time plays many parts, His acts being seven ages.” – William Shakespeare