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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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school choice
college admissions
medical residency matching
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gptkbp:complexity
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polynomial time
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gptkbp:describedBy
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gptkb:Gale-Shapley_algorithm
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gptkbp:field
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gptkb:mathematics
computer science
economics
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gptkbp:generalizes
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hospital/residents problem
stable roommates problem
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gptkbp:hasProperty
|
always has at least one stable matching
solution can be male-optimal or female-optimal
solution may not be unique
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|
https://www.w3.org/2000/01/rdf-schema#label
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stable marriage problem
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gptkbp:introduced
|
gptkb:David_Gale
gptkb:Lloyd_Shapley
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gptkbp:introducedIn
|
1962
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gptkbp:notableFor
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gptkb:Deferred_Acceptance_algorithm
gptkb:Gale-Shapley_algorithm
|
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gptkbp:publishedIn
|
gptkb:American_Mathematical_Monthly
|
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gptkbp:relatedConcept
|
blocking pair
matching market
preference list
|
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gptkbp:relatedTo
|
game theory
matching theory
algorithmic game theory
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|
gptkbp:solvedBy
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stable matching
|
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gptkbp:studiedIn
|
operations research
theoretical computer science
combinatorics
|
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gptkbp:bfsParent
|
gptkb:Gale–Shapley_algorithm
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gptkbp:bfsLayer
|
6
|