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 finite number of minimal elements and a unique maximum. We provide a characterization of the minimal elements. A sufficient condition under which the join-semilattice reduces to a lattice is also given.
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- Solymosi, Tamas & Raghavan, Tirukkannamangai E S, 1994. "An Algorithm for Finding the Nucleolus of Asignment Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(2), pages 119-43.
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- Hamers, Herbert & Klijn, Flip & Solymosi, Tamas & Tijs, Stef & Pere Villar, Joan, 2002.
"Assignment Games Satisfy the CoMa-Property,"
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Elsevier, vol. 38(2), pages 231-239, February.
- Marina Nunez Oliva & Carlos Rafels Pallarola, 2006.
"On the dimension of the core of the assignment game,"
Working Papers in Economics
167, Universitat de Barcelona. Espai de Recerca en Economia.
- Núñez, Marina & Rafels, Carles, 2008. "On the dimension of the core of the assignment game," Games and Economic Behavior, Elsevier, vol. 64(1), pages 290-302, September.
- Josep M. Izquierdo & Marina Núñez & Carles Rafels, 2006.
"A Simple Procedure to Obtain the Extreme Core Allocations of an Assignment Market,"
275, Barcelona Graduate School of Economics.
- Josep Izquierdo & Marina Núñez & Carles Rafels, 2007. "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.
- Marina Núñez, 2004. "A note on the nucleolus and the kernel of the assignment game," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 55-65, January.
- T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 177-185.
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