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Shapley made early theoretical inroads into the subject, using game theory to analyze different matching methods in the 1950s and 1960s. Together with US economist David Gale, he developed a mathematical formula for how 10 men and 10 women could be coupled in a way so that no one would benefit from trading partners. While that may have had little impact on marriages and divorces, the algorithm they developed has been used to better understand many different markets.


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