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Problem 3 Let M and W denote the sets of n men and women, respectively. Suppose that there exists an ordering ( m 1 ,
Problem
Let M and W denote the sets of n men and women, respectively. Suppose that there exists an ordering
m mn of M and an ordering w wn of W such that
every mi in M prefers wi over all wj such that i j;
every wi in W prefers mi over all mj such that i j
Prove that S m wm wmn wn is the unique stable matching.
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