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The worst-case scenario for the Stable Marriage Problem is when there is no stable matching possible, leading to dissatisfaction and potential instability among the pairs.

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4mo ago

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The proof for the stable marriage problem is based on the Gale-Shapley algorithm, which guarantees that a stable matching will always be found between two sets of participants with preferences for each other. This algorithm involves a series of proposals and rejections until all participants are matched in a stable way, where no pair of participants would prefer each other over their current partners.


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The concept of marriage in general benefits society by creating stable family units. Same-sex marriages don't do this better or worse than opposite-sex marriages. Marriage is marriage, regardless of who you marry.


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