Characterizing Convexity of Games using Marginal Vectors
AbstractIn this paper we study the relation between convexity of TU games and marginal vectors.We show that if specfic marginal vectors are core elements, then the game is convex.We characterize sets of marginal vectors satisfying this property, and we derive the formula for the minimum number of marginal vectors in such sets.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2003-11.
Date of creation: 2003
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game theory; convexity; marginal vectors;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- Velzen, S. van, 2005. "Cooperation in Networks and Scheduling," Open Access publications from Tilburg University urn:nbn:nl:ui:12-170234, Tilburg University.
- 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.
- 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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