In order to get a full tribute (3 blues), all named except the king must live. Now, if you do it right, you get 2 blues from the King and 3 blues from the tribute chest. Do not loot the King until you have gotten the tribute from Mizzle that way you can make sure that everyone gets what they want. Also, I would recommend that you do not free Knot until the end of the run when the King is dead. This gives whoever has not received any blue loot another opportunity to get something nice as a blue
The unofficial guide to a tribute run? by unofficial I mean that there are a lot of FFXI Gil to do it but this is how I have most of my success. I am not even going to discuss who you should have in your group as most people will jump on me and say my group composition is all wrong even though I have run DM Tribute about 20 times successfully. Group composition does not matter when you have 5 people who know what their responsibilities are. I should also mention that this guide is heavily slanted to the Alliance side (sorry Horde guys) as I am a pally and have no comparable Horde alt.