Here’s an example of a matching process, as outlined by the organization that runs the medical residency match program. Sorry the format doesn’t transfer, so you’ll have to look at the site to see how the tables look.
http://www.nrmp.org/wp-content/uploads/2014/05/Run-A-Match.pdf
[quote]
RUN A MATCH
Five applicants are applying to three programs. After considering the relative desirability of each program, the
applicants submit the following ROLs to the NRMP:
Applicants’ Rank Order Lists
Anderson Chen Ford Davis Eastman
- City 1. City 1. City 1. Mercy 1. City
2. Mercy 2. General 2. City 2. Mercy
3. Mercy 3. General 3. General
• Applicant Anderson makes only a single choice, City, because he believes that he will be ranked highly at City and
has assured the program director that he would rank City number one.
• Applicant Chen ranks City, which she prefers, and Mercy. She believes Mercy will rank her first, and so she reasons
that there is no risk of her being left unmatched, even if she does not rank additional programs.
• Applicant Ford would be pleased to end up at Mercy, where he had a good clerkship, and believes they will rank
him high on their list. Although, he does not think he has much of a chance, he prefers City and General and so
ranks them higher than Mercy.
• Applicants Davis and Eastman have interviewed at the same programs. Like the other applicants, they desire a
position at City or Mercy and rank those programs either first or second, depending on preference. In addition to
those desirable programs, those applicants also list General lower on their rank order lists.
Two positions are available at each program, and they submit the following ROLs to the NRMP:
Programs’ Rank Order Lists
Mercy City General
- Chen 1. Eastman 1. Eastman
- Ford 2. Anderson 2. Anderson
3. Chen 3. Ford
4. Davis 4. Davis
5. Ford
• The program director at Mercy Hospital ranks only two applicants, Chen and Ford, for his two positions, although
several more are acceptable. He has insisted that all applicants tell him exactly how they will rank his program,
and both of those applicants have assured him that they will rank his program highly.
• The program director at City includes all acceptable applicants on his rank order list, with the most preferred
ranked highest. He prefers to try to match with the strongest, most desirable candidates.
• The program director at General thinks her program is not the most desirable to many of the applicants, but
believes she has a good chance of matching Ford and Davis. Instead of ranking those two applicants at the top of
her list, however, she ranks more desired applicants higher.
Applicant Rank Program Status Match
Anderson 1. City City has 2 unfilled positions Tentatively match Anderson with City
Chen 1. City City has 1 unfilled position Tentatively match Chen with City
Ford 1. City City has no unfilled positions and
tentatively has matched with
more preferred applicants
2. General General has 2 unfilled positions Tentatively match Ford with General
Davis 1. Mercy Mercy did not rank Davis
2. City City has no unfilled positions and
tentatively has matched with
more preferred applicants
3. General General has 1 unfilled position Tentatively match Davis with General
Eastman 1. City City already has 2 tentative
matches but most prefers Eastman
Chen is removed from City to make room
for Eastman; tentatively match Eastman
with City
Chen 2. Mercy Mercy has 1 unfilled position Tentatively match Chen with Mercy. Mercy
has 1 unfilled position.
The process is now complete: each applicant has either been tentatively matched to the most preferred choice
possible, or all choices submitted by the applicant have been considered. Tentative matches are now final.
Results:
• City matched to applicants Anderson and Eastman.
• Mercy ranked only two applicants and was left with one unfilled position.
• General, which ranked four out of five applicants, filled all its positions.
Mercy City General
- Chen 1. Eastman 1. Eastman
- Ford 2. Anderson 2. Anderson
3. Chen (displaced for Eastman) 3. Ford
4. Davis 4. Davis
5. Ford
CONSIDERATIONS
• Ford, Davis, and Eastman used The Match to their advantage by ranking all acceptable programs to maximize their
chances for a match. They, in addition to Chen, were smart to rank programs in order of preference and not based
on where they believed they might match.
• Anderson took a real risk by ranking only one program. Unmatched applicants have shorter lists on the average
than matched applicants. Short lists increase the likelihood of being unmatched.
• The program director at Mercy violated the rules of The Match by insisting applicants inform him how they
intended to rank the program, and his program ultimately went unfilled. Ranking decisions should be made in
private and without pressure. Both applicants and program directors may try to influence decisions in their favor,
but neither can force the other to make a binding commitment before a Match.