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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
Speaker:Floriana Amicone
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  • School of Mathematics

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  • In category "Seminar"
  • By Department of Mathematics

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.

Speaker

Floriana Amicone

Role: Postgraduate researcher

Organisation: The University of Manchester

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Manchester

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The School of Mathematics

+44 (0)161 275 5800

mathematics@manchester.ac.uk

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