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A Simple Procedure to Obtain the Extreme Core Allocations of an Assignment Market

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  • Josep Mª Izquierdo
  • Marina Núñez
  • Carles Rafels

Abstract

Given an assignment market, we introduce a set of vectors, one for each possible ordering on the player set, which we name the max-payoff vectors. Each one of these vectors is obtained recursively only making use of the assignment matrix. Those max-payoff vectors that are efficient turn up to give the extreme core allocations of the market. When the assignment market has large core (that is to say, the assignment matrix is dominant diagonal and doubly dominant diagonal) all the max-payoff vectors are extreme core allocations.

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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 275.

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Date of creation: Apr 2006
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Handle: RePEc:bge:wpaper:275

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Keywords: assignment game; core; extreme core points; max-payoff vectors;

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References

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  1. Hamers, H.J.M. & Klijn, F. & Solymosi, T. & Tijs, S.H. & Pere Villar, J., 2002. "Assignment games satisfy the CoMa property," Open Access publications from Tilburg University urn:nbn:nl:ui:12-91410, Tilburg University.
  2. 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.
  3. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June.
  4. T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, vol. 30(2), pages 177-185.
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Cited by:
  1. F. Javier Martinez-de-Albeniz & Marina Nunez & Carles Rafels, 2010. "Assignment markets with the same core," Working Papers in Economics 239, Universitat de Barcelona. Espai de Recerca en Economia.
  2. Núñez, Marina & Rafels, Carles, 2009. "A glove-market partitioned matrix related to the assignment game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 598-610, November.

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