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Gale–Shapley algorithm

In mathematics, economics, and computer science, the Gale–Shapley algorithm (also known as the deferred acceptance algorithm, propose-and-reject algorithm, or Boston Pool algorithm) is an algorithm for finding a solution to the stable matching problem. It is named for David Gale and Lloyd Shapley, who published it in 1962 in The American Mathematical…

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Gale–Shapley algorithm

Nodes34
Edges33
Triples52
Avg. degree1.94
Density0.058824
Components1

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Gale–Shapley algorithm

Top relations

related to Solution · 10
Gale–Shapley algorithm → Alvin, Boston Pool, David Gale, In, Lloyd Shapley, National Resident Matching Program, Roth, Shapley, The Gale, They
related to Generalizations · 9
Gale–Shapley algorithm → Additionally, France, Gale, In, It, Nevertheless, Parcoursup, Shapley, The
related to Parallelization · 9
Gale–Shapley algorithm → CPUs, GPUs, If, In, Instead, Shapley, The Gale, To, When
related to Optimality of the solution · 8
Gale–Shapley algorithm → As, Gale, In, Is, Shapley, There, These, This
related to Strategic considerations · 8
Gale–Shapley algorithm → Each, Gale, However, Moreover, Shapley, The Gale, This, Under
is a · 2
Gale–Shapley algorithm → only regret-free mechanism in the class of quantile-stable matching mechanisms, truthful mechanism from the point of view of the proposing side

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Important terminology

algorithm matching gale shapley stable participants problem employers applicant applicants employer preferences one offer preference number offers matched next time

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SubjectPredicateObjectConfidenceSrc
Gale–Shapley algorithmis atruthful mechanism from the point of view of the proposing side0.90text
Gale–Shapley algorithmis aonly regret-free mechanism in the class of quantile-stable matching mechanisms0.90text
0 indicating they are unemployedA two-dimensional array indexed by an applicantinstance ofinitially a sentinel value0.80text
an employerinstance ofinitially a sentinel value0.80text
specifying the position of that employer in the applicant's preference listA two-dimensional array indexed by an employerinstance ofinitially a sentinel value0.80text
a number iinstance ofinitially a sentinel value0.80text
multicore CPUsinstance ofShapley algorithm has a natural source of parallelism that makes it suitable for parallel hardware0.80text
graphics processing unitsinstance ofShapley algorithm has a natural source of parallelism that makes it suitable for parallel hardware0.80text
Gale–Shapley algorithmrelated to GeneralizationsIn0.60section
Gale–Shapley algorithmrelated to GeneralizationsGale0.60section
Gale–Shapley algorithmrelated to GeneralizationsShapley0.60section
Gale–Shapley algorithmrelated to GeneralizationsAdditionally0.60section

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