Gale Shapley Stable Marriage Algorithm

Version 1.0.0.0 (1.88 KB) by Sanjith Gopalakrishnan
Implementation of the Gale-Shapley stable matching algorithm.
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Updated 11 Nov 2013

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Given N men and N women, and the preferences of each of them over the members of the opposite gender, a stable matching is a matching between the N men and women such that there is no man and woman who prefer each other over their respectively matched partners.

The Gale-Shapley algorithm determines such a stable matching. Depending on the formulation, it provides either a men-optimal or a women-optimal stable matching. The given function determines the men-optimal stable matching. One can determine the women-optimal stable matching by switching the preferences in the input. An example is provided.

Cite As

Sanjith Gopalakrishnan (2024). Gale Shapley Stable Marriage Algorithm (https://www.mathworks.com/matlabcentral/fileexchange/44262-gale-shapley-stable-marriage-algorithm), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: stable matching

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Stable Marriage/

Version Published Release Notes
1.0.0.0