Stable matching is a concept in mathematics and economics that refers to a situation where two groups of participants are paired in such a way that no pair of individuals would prefer to be matched with each other over their current partners. This ensures that all matches are stable, meaning that there are no conflicts or incentives for individuals to switch partners. One well-known example of stable matching is the Gale-Shapley algorithm, which was developed to solve the stable marriage problem. In this scenario, two groups, such as men and women, rank their preferences, and the algorithm finds a stable pairing that satisfies the preferences of both groups as much as possible.