For Harry had only loaned his Cloak, not given it
That seems like it answer your question: his invisible copies aren't borrowing the cloak from him because they are him.
OK. I'm thinking of this in terms of Harry being able to see Bellatrix because it's his cloak. Harry should then be able to see the other Harrys because they're also wearing his cloak, unless the Cloak distinguishes between "master" and "time-travelled master", or the "loan" part is significant enough that Harry wouldn't be able to see someone under the cloak if they just pick it up without him expressly loaning it to them. If that counts as "stealing" and transfers ownership then you could "loan" the Cloak...
Edit: New thread posted here.
This is a new thread to discuss Eliezer Yudkowsky’s Harry Potter and the Methods of Rationality and anything related to it. This thread is intended for discussing chapter 86. The previous thread has long passed 500 comments.
There is now a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author’s Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)
The first 5 discussion threads are on the main page under the harry_potter tag. Threads 6 and on (including this one) are in the discussion section using its separate tag system. Also: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16.
As a reminder, it’s often useful to start your comment by indicating which chapter you are commenting on.
Spoiler Warning: this thread is full of spoilers. With few exceptions, spoilers for MOR and canon are fair game to post, without warning or rot13. More specifically: