The Marriage Problem, often modeled as the Stable Marriage Problem, seeks to pair individuals from two equal-sized groups—such as men and women—based on their ranked preferences for partners. The Gale-Shapley algorithm offers a solution by having one group propose to their most preferred partner who has not yet rejected them, while the other group tentatively accepts or rejects proposals based on their own preferences. This process repeats until all individuals are matched. The result is a stable matching where no two individuals would both prefer each other over their assigned partners, thus preventing any incentive to deviate from the matching