Can Multiple Men Have The Same Optimal Women Stable Matching

Can Multiple Men Have The Same Optimal Women Stable Matching. PPT Stable Matching PowerPoint Presentation, free download ID971523 E.g., why can't two men have the same best valid partner? In the context of understanding gale shapley algorithm from algorithm design book by eva tardos and kleinberg, we can see that gale shapley algorithm produces the same stable matching output for a given set of preference lists of men and women

Stable Matchings Text CS251
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Each man lists women in order of preference from best to worst. Men-Optimal Stable Matching Theorem: Every execution of MPDA returns the men-optimal stable matching in which every man is matched to his best valid partner

Stable Matchings Text CS251

But in the same chapter, they also talk about an example where there could be multiple stable matchings. Given n men and n women, find a "suitable" matching The stable matching problem will always be optimal for whoever is proposing

Stable Matchings Text CS251. E.g., why can't two men have the same best valid partner? In this case you have to framed as the marriage problem with males making the proposals

PPT Stable Marriage Problem Introductory talk PowerPoint Presentation ID5173576. Each man lists women in order of preference from best to worst. Given n men and n women, find a "suitable" matching