i. What is the outcome of the Gale-Shapley algorithm with the men proposing? The women? ii. Find one more stable matching that is not generated by the Gale-Shapley algorithm. (Hint: there are 10 stable matchings for this market.) iii. Mediate on how useful the Gale-Shapley algorithm is for computing stable matchings without searching blindly for them for a minute or two (e.g. what if this question had just been, "find all the stable matchings for these preferences" without the hint that there are 10?).
i. What is the outcome of the Gale-Shapley algorithm with the men proposing? The women? ii. Find one more stable matching that is not generated by the Gale-Shapley algorithm. (Hint: there are 10 stable matchings for this market.) iii. Mediate on how useful the Gale-Shapley algorithm is for computing stable matchings without searching blindly for them for a minute or two (e.g. what if this question had just been, "find all the stable matchings for these preferences" without the hint that there are 10?).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
7
Transcribed Image Text:2. Suppose preferences are:
Emi
(w1, w2, w3, W4)
Em2
(w2, W1, W4, W3)
Em3
(w3, W4, W1, w2)
Em4
(W4, W3, W2, wi)
(тл, тз, т2, ті)
Ew2
(тз, т4, т1,
Ew3
(тэ, т1, т4, тз)
(т1, т2, тз, тд).
i. What is the outcome of the Gale-Shapley algorithm with the men proposing? The
ii. Find one more stable matching that is not generated by the Gale-Shapley algorithm.
(Hint: there are 10 stable matchings for this market.)
iii. Mediate on how useful the Gale-Shapley algorithm is for computing stable matchings
without searching blindly for them for a minute or two (e.g. what if this question had just
been, "find all the stable matchings for these preferences" without the hint that there are
10?).
women?
I|||
||
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