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Insights into the nucleolus of the assignment game
Martínez de Albéniz, F. Javier; Rafels, Carles; Ybern, Neus
Universitat de Barcelona
We show that the family of assignment matrices which give rise to the same nucleolus form a compact join-semilattice with one maximal element, which is always a valuation. -see p.43, Topkis, 1998-. We give an explicit form of this valuation matrix. The above family is in general not a convex set, but path-connected, and we construct minimal elements of this family. We also analyze the conditions to ensure that a given vector is the nucleolus of some assignment game.
Teoria de jocs
Assignació de recursos
Matemàtica financera
Models matemàtics
Estudis de viabilitat
Game theory
Ressource allocation
Business mathematics
Mathematical models
Feasibility studies
cc-by-nc-nd, (c) Martínez de Albéniz et al., 2015
http://creativecommons.org/licenses/by-nc-nd/3.0/
Documento de trabajo
Universitat de Barcelona. Facultat d'Economia i Empresa
         

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