Download This PaperThe Nucleolus of the Assignment Game: Structure of the Family
UB Economics Working Papers E18/386
31 Pages Posted: 4 Feb 2019
Date Written: December 19, 2018
Abstract
We show that the family of assignment matrices which give rise to the same nucleolus forms a compact join-semilattice with one maximal element. The above family is in general not a convex set, but path-connected.
Keywords: Assignment Game, Core, Nucleolus, Semilattice
JEL Classification: C71
Suggested Citation: Suggested Citation
Martínez-de-Albeniz, Javier and Rafels Pallarola, Carles and Ybern, Neus, The Nucleolus of the Assignment Game: Structure of the Family (December 19, 2018). UB Economics Working Papers E18/386, Available at SSRN: https://ssrn.com/abstract=3320402 or http://dx.doi.org/10.2139/ssrn.3320402
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