Stable Matching Problem

The Stable Matching Problem involves pairing two groups, typically men and women, based on their preferences for each other. The goal is to find matches where no two people would prefer to be with someone else over their current partner, ensuring stability. This means no pair exists that would rather be together than with their assigned partners, preventing future disruptions. The problem is commonly solved with algorithms like the Gale-Shapley algorithm, which guarantees a stable, mutually acceptable matching for everyone involved.