Well, as for the dementor manipulation ability as the "power the Dark Lord knows not", it is actually a pretty overpowered one. Considering that in HPMOR universe dementors are described as Death, "wounds in the world" and whatever else, they should make a very effective weapon. Consider that, for example, when Harry asks about what would happen if a dementor got thrown into the sun, people seem to interpret it not as a "would a dementor die?" sort of question, but as a "would the sun get damaged by that?" question. So, in my opinion, such a monster shouldn't be inhibited by such things as mere large distances, material obstacles and other mundane and magical protections. When Harry stood before the Wizengamot in a presence of some pretty powerful wizards, including Dumbledore, McGonnagal and Lucius, he was quite sure that in the absence of Patronuses a single dementor under his control would be sufficient to quickly and selectively wipe out everyone who Harry found distasteful. Note also, that there is no need for Harry to wave his wand or say anything to control dementors.
So, if Harry could get his hands on a dementor and his moral qualms wouldn't get in the way, I am sure that at the very least he could kill every death eater he wants dead (maybe sparing Lucius and Sirius, former as a possible ally, latter for a bit of questioning), and discorporate Voldemort, which would at least give him time to call for backup and warn people while Voldie is busy respawning and looking for some Listerine to wash that truly horrible dementor aftertaste out of his mouth. As for Voldemort's idea that he could run away from his body before it gets kissed - I think Voldie is overestimating himself here. Dementors are controlled by people's (especially Harry's) expectations, so if Harry expects a dementor to insta-kiss Voldemort, then Voldemort should be toast.
There are a few of ways to take this idea further than Harry's immediate survival. First, we don't know yet how a dementor's soul-munching abilities interact with a horcruxed spirit, so it is possible that a Kissed Voldemort would die completely or come back damaged.
Second, even if Voldie can come back from being kissed, Harry could do the following - tell Voldemort (maybe in the course of explaining the dementor-control power) in Parseltongue that the dementors are going to purposefully hunt down his horcruxes (being entropy personified, they might be able to slowly erode them and wouldn't be held back by such mundane inconveniences as said horcruxes being in Earth's mantle or something) and kiss any body that Voldemort enters. This sets the new expectations in Voldemort's mind (even if he finds it laughable) and then Harry unleashes the Death.
Now, the question is: where does Harry get a dementor? I guess Harry might have a sudden realization that being Death, dementors should not be bound by such trivialities as a mere few hundred kilometers, and summon some from Azkaban, but EY might consider that a revelation that bypasses the previously set constraints. Alternatively, Harry might try to gamble by telling Voldie that he knows a counterspell to dismiss Death (which does sound useful to an aspiring immortal), and hope that Voldemort doesn't realize the dementor connection and is actually willing to try an experiment with the sword and rope ritual. (and hope that the ritual actually produces a dementor and not some other variation of Death Incarnate).
Actually, now that I spent a little time thinking on it, this idea becomes even more interesting. Remember, one of the recurring themes that makes Harry so cool is that he has different conceptual limitations from the rest of the wizards. Now, as far as we know, dementors are controlled by people's expectations. The reason that dementors haven't exterminated all the life on Earth yet could be that while people are afraid of death, death always seems to wait another day and moves slowly and on its own pace. I mean, for a medieval person, the image of death ...
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 113.
There is 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.)
IMPORTANT -- From the end of chapter 113: