one-to-one matching

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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Consider two-sided, one-to-one matching between four women (A, B, C, and D) and four men (1, 2,
3, and 4). Their rankings are as follows:
Women: A:
B:
C:
D:
1, 2, 3, 4, A
2, 1, 4, 3, B
1, 2, 4, 3, C
2, 1, 3, D, 4
Men: 1:
2:
3:
O A:4, B:2, C:3, D:D, 1:1
A:4, B:1, C:3, D:2
OA:3, B:2, C:4, D:1
OA:1, B2, C:4, D:3
A:3, B:1, C:4, D:2
4:
Which of the following matchings is stable?
B, D, C, A, 1
D, B, C, A, 2
B, D, A, C, 3
D, B, A, C, 4
mnt
welt Orde
Transcribed Image Text:Consider two-sided, one-to-one matching between four women (A, B, C, and D) and four men (1, 2, 3, and 4). Their rankings are as follows: Women: A: B: C: D: 1, 2, 3, 4, A 2, 1, 4, 3, B 1, 2, 4, 3, C 2, 1, 3, D, 4 Men: 1: 2: 3: O A:4, B:2, C:3, D:D, 1:1 A:4, B:1, C:3, D:2 OA:3, B:2, C:4, D:1 OA:1, B2, C:4, D:3 A:3, B:1, C:4, D:2 4: Which of the following matchings is stable? B, D, C, A, 1 D, B, C, A, 2 B, D, A, C, 3 D, B, A, C, 4 mnt welt Orde
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