A new stable and more responsive cost sharing solution for minimum cost spanning tree problems
Minimum cost spanning tree (mcst) problems try to connect agents efficiently to a source when agents are located at different points in space and the cost of using an edge is fixed. We introduce a new cost sharing solution that always selects a point in the core and that is more responsive to changes than the well-studied folk solution. The paper shows a sufficient condition for the concavity of the stand-alone cost game. Modifying the game to make sure the condition is satisfied and then taking the Shapley value gives the new solution.
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- Bhaskar Dutta & Anirban Kar, 2002.
"Cost monotonicity, consistency and minimum cost spanning tree games,"
Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers
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- Gustavo Bergantiños & Juan Vidal-Puga, 2005. "A fair rule in minimum cost spanning tree problems," Game Theory and Information 0504001, EconWPA.
- Gustavo Bergantinos & Juan Vidal-Puga, 2008. "On Some Properties of Cost Allocation Rules in Minimum Cost Spanning Tree Problems," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(3), pages 251-267, December.
- Tijs, S.H. & Brânzei, R. & Moretti, S. & Norde, H.W., 2004.
"Obligation Rules for Minimum Cost Spanning Tree Situations and their Monotonicity Properties,"
2004-53, Tilburg University, Center for Economic Research.
- Tijs, Stef & Branzei, Rodica & Moretti, Stefano & Norde, Henk, 2006. "Obligation rules for minimum cost spanning tree situations and their monotonicity properties," European Journal of Operational Research, Elsevier, vol. 175(1), pages 121-134, November.
- Kar, Anirban, 2002. "Axiomatization of the Shapley Value on Minimum Cost Spanning Tree Games," Games and Economic Behavior, Elsevier, vol. 38(2), pages 265-277, February.
- van den Nouweland, C.G.A.M. & Borm, P.E.M., 1991.
"On the convexity of communication games,"
Other publications TiSEM
e754cb6a-f695-4099-bfbf-c, Tilburg University, School of Economics and Management.
- Christian Trudeau, 2013.
"Linking the Kar and Folk Solutions Through a Problem Separation Property,"
1301, University of Windsor, Department of Economics.
- Christian Trudeau, 2014. "Linking the Kar and folk solutions through a problem separation property," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 845-870, November.
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