(Latest Revision: Thu Sep 29, 2022)
SOLUTION TO Take Home Exercise #1
Take Home Exercise #1
SOLUTION TO:
CS 4400 Practice Exercise
Stable Matching Problem
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Your Assignment:
Process the following input in the same manner that the sample input was
processed, as illustrated above.
Produce the same kind of script (step-by-step) of the actions taken by
the Gale-Shapley algorithm, plus write what the final matching is,
in the same format as above.
The men are Ash, Bob, Del, and Eli.
The women are Flo, Jae, Kia, and Luz.
The preference lists are
Ash Kia Luz Flo Jae
Bob Jae Flo Luz Kia
Del Kia Luz Jae Flo
Eli Luz Kia Jae Flo
Flo Bob Ash Eli Del
Jae Ash Eli Bob Del
Kia Eli Del Ash Bob
Luz Del Ash Eli Bob
A solution given by the Gale-Shapley Algorithm:
Ash proposes to Kia.
Kia pairs with Ash because she is free.
Bob proposes to Jae.
Jae pairs with Bob because she is free.
Del proposes to Kia.
Kia rejects Ash.
Kia pairs with Del because she likes him more.
Ash becomes free.
Ash proposes to Luz.
Luz pairs with Ash because she is free.
Eli proposes to Luz.
Luz rejects Eli because she likes her current match, Ash, more.
Eli remains free.
Eli proposes to Kia.
Kia rejects Del.
Kia pairs with Eli because she likes him more.
Del becomes free.
Del proposes to Luz.
Luz rejects Ash.
Luz pairs with Del because she likes him more.
Ash becomes free.
Ash proposes to Flo.
Flo pairs with Ash because she is free.
Now everyone has a match.
Here Are The Matches:
WOMEN MEN
Flo Ash
Jae Bob
Kia Eli
Luz Del