Question: prove by induction the following stable matching problem (indicate inductive hypothesis, base case, and inductive step): if men and women have identical preferences (all men

prove by induction the following stable matching problem (indicate inductive hypothesis, base case, and inductive step):

if men and women have identical preferences (all men rank women the same and viceversa), prove that every instance of stable matching having the same preferences has a unique solution (only one stable perfect matching)

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