Convexity and Marginal Vectors
AbstractIn this paper we construct sets of marginal vectors of a TU game with the property that if the marginal vectors from these sets are core elements, then the game is convex.This approach leads to new upperbounds on the number of marginal vectors needed to characterize convexity.An other result is that the relative number of marginals needed to characterize convexity converges to zero.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2002-53.
Date of creation: 2002
Date of revision:
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Web page: http://center.uvt.nl
game theory; convexity; marginal vectors;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2002-06-13 (All new papers)
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- Rafels, Carles & Ybern, Neus, 1995. "Even and Odd Marginal Worth Vectors, Owen's Multilinear Extension and Convex Games," International Journal of Game Theory, Springer, vol. 24(2), pages 113-26.
- Platz, Trine Tornøe & Hamers, Herbert & Quant, Marieke, 2012. "C-complete sets for compromise stable games," Discussion Papers of Business and Economics 25/2012, Department of Business and Economics, University of Southern Denmark.
- Drechsel, J. & Kimms, A., 2010. "Computing core allocations in cooperative games with an application to cooperative procurement," International Journal of Production Economics, Elsevier, vol. 128(1), pages 310-321, November.
- Velzen, S. van, 2005. "Cooperation in Networks and Scheduling," Open Access publications from Tilburg University urn:nbn:nl:ui:12-170234, Tilburg University.
- Platz, T.T. & Hamers, H.J.M. & Quant, M., 2011. "Characterizing Compromise Stability of Games Using Larginal Vectors," Discussion Paper 2011-058, Tilburg University, Center for Economic Research.
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