Question 10
Consider the following instance of the stable matching problem. Suppose there are 3 women (A, B, C) and 3 men (X, Y, Z), and their preferences as given below and answer the subquestions:
| Men | 1 | 2 | 3 |
|---|---|---|---|
| X | A | B | C |
| Y | B | A | C |
| Z | A | B | C |
| Women | 1 | 2 | 3 |
|---|---|---|---|
| A | Y | X | Z |
| B | X | Y | Z |
| C | X | Y | Z |
Consider the following matching: M = (X-C), (Y-B), (Z-A). Which of the following forms a blocking pair in the matching above?
(Y-A)
(X-B)
(Y-C)
(Z-B)