description Lloyd Shapley Overview
Lloyd Shapley (1923–2016) was an American mathematician and economist who shared the 2012 Nobel Prize for developing cooperative game theory concepts including the Shapley value and the deferred acceptance algorithm.
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Lloyd Shapley ranks #25 of 253 in the Economist ranking, behind Harry Markowitz, ahead of Leon Walras.
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What is the Shapley value?
The Shapley value assigns each participant a share of a coalition's total payoff based on that participant's average marginal contribution across all possible joining orders. It is now used in fields ranging from cost allocation to machine-learning explanations such as SHAP.
What is the Gale-Shapley deferred acceptance algorithm?
The algorithm has participants make proposals in rounds, with receivers temporarily retaining their preferred offer and rejecting others. David Gale and Lloyd Shapley proved that this procedure produces a stable matching under the model's assumptions.
How is Shapley's work used in medical residency matching?
Deferred-acceptance ideas underpin matching systems that pair applicants with residency programs while accounting for ranked preferences. Alvin Roth helped connect and adapt this theory to real matching markets, including the US residency system.
Why did Lloyd Shapley share the 2012 economics Nobel?
Shapley and Alvin Roth were honored for the theory of stable allocations and the practice of market design. Shapley developed core mathematical results, while Roth demonstrated and refined their use in real institutions.
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