Final answer:
Troy's situation is an example of a mutually aware system in dissociative identity disorder (DID), where all of his sub personalities are aware of each other and can communicate and interact with one another.
Step-by-step explanation:
Troy's situation, where all of his sub personalities talk about and tattle on each other, is an example of a mutually aware system in dissociative identity disorder (DID). In a mutually aware system, the sub personalities are aware of each other's existence and can communicate and interact with one another.
This is different from a mutually amnesic system, where the sub personalities are not aware of each other's existence, and a co-conscious system, where the sub personalities are aware of each other but do not have direct communication or interaction.
A cooperative system refers to sub personalities that work together to achieve common goals and share information willingly.