Question: (b) Note that in this preference matrix each woman's ranking of men is the same, and so is every man's ranking of women. The matching

 (b) Note that in this preference matrix each woman's ranking of

(b) Note that in this preference matrix each woman's ranking of men is the same, and so is every man's ranking of women. The matching (w1, W2, w;) is assorta- tive. The following induction procedure demonstrates that it is stable. i. Neither m, nor w would be part of any blocking pair, because they are each matched with their most preferred partner. ii. Removal of m, nor wj as part of any potential blocking pair means that neither my or my would be part of any blocking pair, because they are matched with their most preferred partner among the available ones. Note that this argument works for any number of men and women, when all men's preferences are the same, as are all women's. 4. Please refer to your lecture notes

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