The stability of marriage
|Dates:||10 May 2019|
|Times:||15:00 - 16:00|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Adults, Alumni, Current University students|
Join us for this research seminar, part of the Pure maths seminar series.
A certain community consists of n men and n women, and each of them wants to marry someone of the opposite sex. Everyone ranks potential partners in a strict order of preference. A natural question to ask is whether there exists a way of matching men and women into couples so that the marriages are stable, in the sense that it never happens that a certain man and a certain woman both prefer each other to their designated partner. A positive answer to this question was given by Gale and Shapley in 1962, and applications of the algorithm they devised granted Shapley the Nobel Prize for Economics in 2012.
Floriana will talk about this and related problems and applications; no knowledge of any area of Mathematics (or any other discipline, really) will be required.
Role: Postgraduate researcher
Organisation: The University of Manchester
Travel and Contact Information
Alan Turing Building