I was thinking about Harry's four sides: Gryffindor, Hufflepuff, Ravenclaw, and Slytherin. He's already tried Ravenclaw (presenting logic and rationality, thinking through his options) and Slytherin (plotting against Lucius Malfoy in front of the Wizgov.-"you do not want me as your enemy") But his Hufflepuff (strong loyalty to Hermione as a friend) refuses to allow him to give up, and I think his Ravenclaw and Slytherin sides will shout down the Gryffindor option (destroy the dementor with his patronus). However, E.Y. said "figure it out from there" so that implies we already have enough information. So, if we analyze it this way, we can observe:
Therefore, we can conclude that any one of these given possible outcomes has some chance of possibility, but some are more probable than others.
OR
I am very long winded. My apologies.
Lucius is sane, according to Harry, but seems to be beyond reason
This is standard game theory. Read some Schelling.
EDIT: New discussion thread here.
This is a new thread to discuss Eliezer Yudkowsky's Harry Potter and the Methods of Rationality and anything related to it. With two chapters recently the previous thread has very quickly reached 500 comments. The latest chapter as of 17th March 2012 is Ch. 79.
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: one, two, three, four, five, six, seven, eight, nine, ten.
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: