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Assignment markets with the same core

  • F. Javier Martinez-de-Albeniz
  • Marina Nunez
  • Carles Rafels

    (Universitat de Barcelona)

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.

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Paper provided by Universitat de Barcelona. Espai de Recerca en Economia in its series Working Papers in Economics with number 239.

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Length: 0 pages
Date of creation: 2010
Date of revision:
Handle: RePEc:bar:bedcje:2010239
Contact details of provider: Postal: Espai de Recerca en Economia, Facultat de Ciències Econòmiques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.
Web page: http://www.ere.ub.es

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  1. Hamers, Herbert & Klijn, Flip & Solymosi, Tamas & Tijs, Stef & Pere Villar, Joan, 2002. "Assignment Games Satisfy the CoMa-Property," Games and Economic Behavior, Elsevier, vol. 38(2), pages 231-239, February.
  2. Josep Mª 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.
  3. T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, vol. 30(2), pages 177-185.
  4. 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.
  5. 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.
  6. 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.
  7. repec:ner:tilbur:urn:nbn:nl:ui:12-91410 is not listed on IDEAS
  8. Marina Núñez, 2004. "A note on the nucleolus and the kernel of the assignment game," International Journal of Game Theory, Springer, vol. 33(1), pages 55-65, January.
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