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Sharing the cost of a network: core and core allocations

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Author Info

  • S. H. Tijs

    ()
    (CentER and Department of Econometrics, Tilburg University, Tilburg, The Netherlands Final version November 2001)

  • M. Koster

    ()
    (Faculty of Economics and Econometrics, Department of Quantitative Economics, University of Amsterdam, The Netherlands)

  • E. Molina

    ()
    (Centro de Investigación Operativa, Universidad Miguel Hernández de Elche, Elche, Spain)

  • Y. Sprumont

    ()
    (C.R.D.E. et Département de sciences économiques, Université de Montréal, Montréal, Canada)

Abstract

This paper discusses the core of the game corresponding to the standard fixed tree problem. We consider the weighted adaptation of the constrained egalitarian solution of Dutta and Ray (1989). The core of the standard fixed tree game equals the set of all weighted constrained egalitarian solutions. Each weighted constrained egalitarian solution is determined (in polynomial time) as a home-down allocation, which creates further insight in the local behaviour of the weighted constrained egalitarian solution. The constrained egalitarian solution is characterized in terms of a cost sharing mechanism.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 30 (2002)
Issue (Month): 4 ()
Pages: 567-599

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Handle: RePEc:spr:jogath:v:30:y:2002:i:4:p:567-599

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Related research

Keywords: Cooperative game theory · cost sharing · tree games · core · constrained egalitarianism.;

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Cited by:
  1. Debing Ni & Yuntong Wang, 2013. "Additive cost sharing on a tree," Working Papers 1307, University of Windsor, Department of Economics.
  2. Koster, M.A.L., 1999. "Weighted Constrained Egalitarianism in TU-Games," Discussion Paper 1999-107, Tilburg University, Center for Economic Research.
  3. Márkus, Judit & Pintér, Miklós & Radványi, Anna, 2011. "The Shapley value for airport and irrigation games," MPRA Paper 30031, University Library of Munich, Germany.
  4. Bjorndal, E. & Koster, M.A.L. & Tijs, S.H., 2004. "Weighted allocation rules for standard fixed tree games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-142601, Tilburg University.
  5. Moulin, Herve & Laigret, Francois, 2011. "Equal-need sharing of a network under connectivity constraints," Games and Economic Behavior, Elsevier, vol. 72(1), pages 314-320, May.
  6. Koster, Maurice, 2002. "Hierarchical constrained egalitarianism in TU-games," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 251-265, March.
  7. Tijs, S.H. & Brânzei, R., 2004. "Cases in Cooperation and Cutting the Cake," Discussion Paper 2004-108, Tilburg University, Center for Economic Research.
  8. 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.
  9. Miquel, S. & Velzen, S. van & Hamers, H.J.M. & Norde, H.W., 2003. "Fixed Tree Games with Repeated Players," Discussion Paper 2003-87, Tilburg University, Center for Economic Research.

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