Article

All assignment games with the same core have the same nucleolus

Universitat de Barcelona. Espai de Recerca en Economia, Working Papers in Economics 01/2004;
Source: RePEc

ABSTRACT There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also coincide. To show this, we prove that the nucleolus of an assignment game coincides with that of its buyerseller exact representative.

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