Don't worry I did not understand the math either, hence why I am a liberal arts major. I more so took to the outcomes of the study which I found interesting. If you dig through the article, you can find some interesting facts as I did (see below):
"The Outcome Function of the ROTC Mechanism
For each cadet at the top 50 percent of the OML, consider the following six options in the given order, and if none of them works, leave the cadet unassigned.
1 Assign the cadet his first-choice branch at base price t1, if less than 50 percent of the slots are full.
2 Assign the cadet his first-choice branch at increased price t2, if he signed a branch-of-choice contract and less than 65 percent of the slots are full.
3 Assign the cadet his second-choice branch at base price t1, if less than 50 percent of the slots are full.
4 Assign the cadet his second-choice branch at increased price t2, if he signed a branch-of-choice contract and less than 65 percent of the slots are full.
5 Assign the cadet his third-choice branch at base price t1, if less than 50 percent of the slots are full.
6 Assign the cadet his third-choice branch at increased price t2, if he signed a branch-of-choice contract and less than 65 percent of the slots are full."
"The Outcome Function of the ROTC Mechanism
For each cadet at the bottom 50 percent of the OML, consider the following six options in the given order, and if none of them works, leave the cadet unassigned.
1 Assign the cadet his first-choice branch at base price t1, if less than 50 percent of the slots are full.
2 Assign the cadet his first-choice branch at increased price t2, if he signed a branch-of-choice contract and not all slots are full.
3 Assign the cadet his second-choice branch at base price t1, if less than 50 percent of the slots are full.
4 Assign the cadet his second-choice branch increased higher price t2, if he signed a branch-of-choice contract and not all slots are full.
5 Assign the cadet his third-choice branch at base price t1, if less than 50 percent of the slots are full.
6 Assign the cadet his third-choice branch at increased price t2, if he signed a branch-of-choice contract and not all slots are full."
