Question: Consider a version of the stable matching problem in which men and women can be indifferent between certain options. That is, we allow ties in

Consider a version of the stable matching problem in which men

Consider a version of the stable matching problem in which men and women can be indifferent between certain options. That is, we allow ties in the ranking. Define strong instability as follows: in aperfect matching S consists of a man m and a woman w, such that each of m and w prefers (not indifferently) the other to their partner in S. Prove that there exists a stable matching with no strong instability Devise an algorithm to find such a stable matching

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