Does this matching maximize the total compatibility of the matched couple? Explain why or why not.
Does this matching maximize the total compatibility of the matched couple? Explain why or why not.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 21PPS
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solve 'b' part only.. hand written plz
![Consider an online dating site with four men m1, m2, m3, m4 and four women wi, wz, w3, Wa.
Suppose the dating site manages to compute a "compatibility" score for each couple
as follows.
wi w2 w3 W4
mi
5 6
m2
7
4
3
2
m3
8
2
6.
2
4
(a) Suppose that individuals' preferences coincide exactly with the company's com-
patibility score. Find a stable matching and show that it is unique.
(b) Does this matching maximize the total compatibility of the matched couple?
Explain why or why not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e2a87c5-85b5-49e3-9270-69a309c77c4a%2Fb93efc89-4529-4983-9edf-ae7defe201eb%2Fpjiaxj_processed.png&w=3840&q=75)
Transcribed Image Text:Consider an online dating site with four men m1, m2, m3, m4 and four women wi, wz, w3, Wa.
Suppose the dating site manages to compute a "compatibility" score for each couple
as follows.
wi w2 w3 W4
mi
5 6
m2
7
4
3
2
m3
8
2
6.
2
4
(a) Suppose that individuals' preferences coincide exactly with the company's com-
patibility score. Find a stable matching and show that it is unique.
(b) Does this matching maximize the total compatibility of the matched couple?
Explain why or why not.
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