The question of bipartite matching is essential for an understanding of matching individuals for love and friendship. If individuals just seek the best matches for themselves, many of the less attractive people will be left out. Using weighted bipartite matching, the more attractive people will be matched with very very slightly less attractive others, so that everyone in society can find a good match.
I continue to use the clickable image below, though it dates from a time when I naively ignored the dangers of Social Technology.
Like all truly advanced technology, these solutions to social problems will involve a lot of math, but must not require users to have special knowledge or skills. Programmers are invited to help with the development of open source libraries for applied social mathematics.
Non-technical accounts of all these topics as well as accessible accounts of the underlying math are on the front pages of a network of associated websites.
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