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The P-value for cost sharing in minimum cost spanning tree situations


Author Info

  • Brânzei, R.

    (Tilburg University)

  • Moretti, S.
  • Norde, H.W.

    (Tilburg University)

  • Tijs, S.H.

    (Tilburg University)


The aim of this paper is to introduce and axiomatically characterize the P-value as a rule to solve the cost sharing problem in minimum cost spanning tree (mcst) situations.The P-value is related to the Kruskal algorithm for finding an mcst.Moreover, the P-value leads to a core allocation of the corresponding mcst game, and when applied also to the mcst subsituations it delivers a population monotonic allocation scheme.A conewise positive linearity property is one of the basic ingredients of an axiomatic characterization of the P-value.

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-142598.

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Date of creation: 2004
Date of revision:
Publication status: Published in Theory and Decision (2004) v.56, p.47-61
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-142598

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Cited by:
  1. Bergantiños, G. & Gómez-Rúa, M. & Llorca, N. & Pulido, M. & Sánchez-Soriano, J., 2014. "A new rule for source connection problems," European Journal of Operational Research, Elsevier, vol. 234(3), pages 780-788.
  2. Jens Hougaard & Hervé Moulin & Lars Østerdal, 2010. "Decentralized pricing in minimum cost spanning trees," Economic Theory, Springer, vol. 44(2), pages 293-306, August.
  3. Bhaskar Dutta & Debasis Mishra, 2008. "Minimum cost arborescences," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 08-12, Indian Statistical Institute, New Delhi, India.
  4. María Gómez-Rúa & Juan Vidal-Puga, 2011. "Merge-proofness in minimum cost spanning tree problems," International Journal of Game Theory, Springer, vol. 40(2), pages 309-329, May.
  5. Stefano Moretti & Stef Tijs & Rodica Branzei & Henk Norde, 2009. "Cost allocation protocols for supply contract design in network situations," Computational Statistics, Springer, vol. 69(1), pages 181-202, March.
  6. Norde, H.W., 2013. "The Degree and Cost Adjusted Folk Solution for Minimum Cost Spanning Tree Games," Discussion Paper 2013-039, Tilburg University, Center for Economic Research.
  7. Moretti, Stefano, 2009. "Game Theory applied to gene expression analysis," Economics Papers from University Paris Dauphine 123456789/4922, Paris Dauphine University.
  8. Christian Trudeau, 2013. "Characterizations of the cycle-complete and folk solutions for minimum cost spanning tree problems," Working Papers 1303, University of Windsor, Department of Economics.
  9. Bogomolnaia, Anna & Moulin, Hervé, 2010. "Sharing a minimal cost spanning tree: Beyond the Folk solution," Games and Economic Behavior, Elsevier, vol. 69(2), pages 238-248, July.
  10. Moretti, S. & Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Connection Situations under Uncertainty," Discussion Paper 2008-64, Tilburg University, Center for Economic Research.
  11. 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.
  12. Gustavo Bergantiños & Anirban Kar, 2008. "Obligation Rules," Working papers 167, Centre for Development Economics, Delhi School of Economics.
  13. Trudeau, Christian, 2012. "A new stable and more responsive cost sharing solution for minimum cost spanning tree problems," Games and Economic Behavior, Elsevier, vol. 75(1), pages 402-412.
  14. Bergantiños, Gustavo & Kar, Anirban, 2010. "On obligation rules for minimum cost spanning tree problems," Games and Economic Behavior, Elsevier, vol. 69(2), pages 224-237, July.
  15. Bergantiños, Gustavo & Vidal-Puga, Juan, 2012. "Characterization of monotonic rules in minimum cost spanning tree problems," MPRA Paper 39994, University Library of Munich, Germany.
  16. Bergantiños, Gustavo & Lorenzo, Leticia & Lorenzo-Freire, Silvia, 2011. "A generalization of obligation rules for minimum cost spanning tree problems," European Journal of Operational Research, Elsevier, vol. 211(1), pages 122-129, May.
  17. Bergantiños, Gustavo & Vidal-Puga, Juan, 2009. "Additivity in minimum cost spanning tree problems," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 38-42, January.
  18. Chun, Youngsub & Lee, Joosung, 2012. "Sequential contributions rules for minimum cost spanning tree problems," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 136-143.


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