A Simple Procedure to Obtain the Extreme Core Allocations of an Assignment Market
AbstractGiven 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 InfoPaper provided by Barcelona Graduate School of Economics in its series Working Papers with number 275.
Date of creation: Apr 2006
Date of revision:
assignment game; core; extreme core points; max-payoff vectors;
Other versions of this item:
- 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, vol. 36(1), pages 17-26, September.
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- 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.
- T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, vol. 30(2), pages 177-185.
- 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.
- 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.
- 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.
- Martínez-de-Albéniz, F. Javier & Núñez, Marina & Rafels, Carles, 2011.
"Assignment markets with the same core,"
Games and Economic Behavior,
Elsevier, vol. 73(2), pages 553-563.
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