Assignment markets with the same core
AbstractIn 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.
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Bibliographic InfoPaper provided by Universitat de Barcelona. Espai de Recerca en Economia in its series Working Papers in Economics with number 239.
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Date of creation: 2010
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- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- 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.
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"Assignment games satisfy the CoMa property,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-91410, Tilburg University.
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"A Simple Procedure to Obtain the Extreme Core Allocations of an Assignment Market,"
275, Barcelona Graduate School of Economics.
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- Nunez, Marina & Rafels, Carles, 2003. "Characterization of the extreme core allocations of the assignment game," Games and Economic Behavior, Elsevier, vol. 44(2), pages 311-331, August.
- T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, vol. 30(2), pages 177-185.
- Solymosi, Tamas & Raghavan, Tirukkannamangai E S, 1994. "An Algorithm for Finding the Nucleolus of Asignment Games," International Journal of Game Theory, Springer, vol. 23(2), pages 119-43.
- Tejada, J. & Borm, P.E.M. & Lohmann, E.R.M.A., 2013. "A Unifying Model for Matching Situations," Discussion Paper 2013-069, Tilburg University, Center for Economic Research.
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