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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/68834
Insights into the nucleolus of the assignment game
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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.
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MARTÍNEZ DE ALBÉNIZ, F. Javier, RAFELS, Carles and YBERN, Neus. Insights into the nucleolus of the assignment game. UB Economics – Working Papers. 2015. Vol. E15/333. ISSN 1136-8365. [consulted: 4 of July of 2026]. Available at: https://hdl.handle.net/2445/68834