A matching is a mapping from the elements of one set to the elements of the other set.
A matching is stable whenever it is not the case that both:
a.some given element A of the first matched set prefers some given element B of the
second matched set over the element to which A is already matched, and
b. B also prefers A over the element to which B is already matched
The matching in this case is according to men's preferences, to change it according
to women's preferences some trivial changes need to be made.
Hanan Kavitz (2023). stable matching (https://www.mathworks.com/matlabcentral/fileexchange/34014-stable-matching), MATLAB Central File Exchange. Retrieved .
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Inspired: Gale Shapley Stable Marriage Algorithm
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