Assignment markets with the same core
In the framework of bilateral assignment games, we study the set of matrices associated with assignment markets with the same core. We state conditions on matrix entries that ensure that the related assignment games have the same core. We prove that the set of matrices leading to the same core form a join-semilattice with a nite number of minimal elements and a unique maximum. We provide a characterization of the minimal elements. A sucient condition under which the join-semilattice reduces to a lattice is also given.
|Date of creation:||2010|
|Date of revision:|
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- Hamers, H.J.M. & Klijn, F. & Solymosi, T. & Tijs, S.H. & Pere Villar, J., 2002.
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Other publications TiSEM
da67df69-7b64-4f98-ba8a-8, Tilburg University, School of Economics and Management.
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"On the dimension of the core of the assignment game,"
Working Papers in Economics
167, Universitat de Barcelona. Espai de Recerca en Economia.
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"A simple procedure to obtain the extreme core allocations of an assignment market,"
International Journal of Game Theory,
Springer;Game Theory Society, vol. 36(1), pages 17-26, September.
- Josep M. Izquierdo & Marina Núñez & Carles Rafels, 2006. "A Simple Procedure to Obtain the Extreme Core Allocations of an Assignment Market," Working Papers 275, Barcelona Graduate School of Economics.
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