The extreme core allocations of the assignment game
Although assignment games are hardly ever convex, in this paper a characterization of their set or extreme points of the core is provided, which is also valid for the class of convex games. For each ordering in the player set, a payoff vector is defined where each player receives his marginal contribution to a certain reduced game played by his predecessors. We prove that the whole set of reduced marginal worth vectors, which for convex games coincide with the usual marginal worth vectors, is the set of extreme points of the core of the assignment game.
|Date of creation:||2001|
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- Roth, Alvin E. & Sotomayor, Marilda, 1992.
Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541
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- van den Nouweland, C.G.A.M. & Borm, P.E.M. & van Golstein Brouwers, W. & Groot Bruinderink, R. & Tijs, S.H., 1996. "A game theoretic approach to problems in telecommunication," Other publications TiSEM a3b30529-fe17-484c-8eab-7, Tilburg University, School of Economics and Management.
- Hamers, H.J.M. & Klijn, F. & Solymosi, T. & Tijs, S.H. & Pere Villar, J., 1999. "On the extreme points of the core of neighbour games and assignment games," Discussion Paper 1999-43, Tilburg University, Center for Economic Research.
- Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
- Marilda Sotomayor, 1999. "The lattice structure of the set of stable outcomes of the multiple partners assignment game," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 567-583. Full references (including those not matched with items on IDEAS)
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