Question: Consider an instance of the stable matching problem in which there exists a man m and a woman w such that m is ranked first

 Consider an instance of the stable matching problem in which there

Consider an instance of the stable matching problem in which there exists a man m and a woman w such that m is ranked first on the preference list of w and w is ranked first on the preference list of m. Then in every stable matching S for this instance, the pair (m, w) belongs to S

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