Stable Marriages
Stable Marriages
A set of marriages is unstable if a man and woman within the set could improve their happiness by marrying each other rather than staying with their current partners. This Demonstration shows the set of stable marriages that results from having the men rank females on the basis of a distance measure from themselves to each female. Reciprocally, the females rank the males on the basis of a distance measure from themselves to each male. As you move the males (blue) and the females (pink) around the leftmost graphic in the Demonstration, the moving person's rankings change and a potential exists for instability. The Demonstration shows the sets of stable marriages in three ways: (1) in the left graphic, the set of stable marriages is shown by lines between the spouses; (2) in the middle graphic, males in blue on the bottom are tied by a cylinder to their pink marital partner on the top; (3) the rightmost grid shows the sets of marriages and how each maleranks his female partner and how each female ranks her partner. You can change the distance function the males and females use for ranking and whether the male or female perspective on the matter will be taken.