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Consistent bilateral assignment

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  • Moulin, Herve

Abstract

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.

Suggested Citation

  • Moulin, Herve, 2017. "Consistent bilateral assignment," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 43-55.
    • Handle: RePEc:eee:matsoc:v:90:y:2017:i:c:p:43-55
    DOI: 10.1016/j.mathsocsci.2016.09.004
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