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Consider the following two-sided matching market with four men (X,Y,Z,W) and four women (a,b,c,d). ...

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Consider the following two-sided matching market with four men (X,Y,Z,W) and four women (a,b,c,d). d w z Y Y b d b Z W X Y z d b Y X z W X Y Z a 8 w b d W 4.1 (10 points) Find the women optimal stable matching. Why is it women optimal? 4.2 (5 points) Find the men optimal stable matching. 4.3 (10 points) Can you find any other stable matching? If yes, state it clearly. If not, present a detailed argument. Consider the following two-sided matching market with four men (X,Y,Z,W) and four women (a,b,c,d). d w z Y Y b d b Z W X Y z d b Y X z W X Y Z a 8 w b d W 4.1 (10 points) Find the women optimal stable matching. Why is it women optimal? 4.2 (5 points) Find the men optimal stable matching. 4.3 (10 points) Can you find any other stable matching? If yes, state it clearly. If not, present a detailed argument

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