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Consistent bilateral assignment

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Article
Author/s: 
Herve Moulin
Mathematical Social Sciences
Publisher: 
Elsevier
Year: 
2017
We look for assignment rules meeting the powerful separability property known as Consistency: “every subassignment of a fair assignment is fair”.

In the bilateral assignment problem, source a holds the amount ra of resource of type a, while sink i must receive the total amount xi of the various resources. We look for assignment rules meeting the powerful separability property known as Consistency: “every subassignment of a fair assignment is fair”. They are essentially those rules selecting the feasible flow minimizing the sum ∑i,aW(yia), where W is smooth and strictly convex.

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