You Have Decided to Live in a Converted Loft with Eleven

Short Answer

You have decided to live in a converted loft with eleven of your college friends. The loft is a large open room and as a group you have decided to divvy up the floor space using the Last-Diminisher Method. You label yourselves and the order in which the method is played has P₁ first, P₂ second, and so on. Here is how the method begins:
Round 1: P₁ makes the first cut; P₂ passes; P₃ diminishes; diminishes; P₁₂ passes.
Round 2: After the first claim is made, P₈ is the only diminisher.
Round 3: After the first claim is made, all the remaining players pass.
After the end of Round 3 , which three players have received what they consider a fair share of the loft space?