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The Sequential Equal Surplus Division for Sharing International Rivers with Bifurcations

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Author Info

  • Sylvain Béal

    ()
    (CRESE, Université de Franche-comté)

  • Amandine Ghintran

    ()
    (EQUIPPE, Université de Lille 3)

  • Eric Rémila

    ()
    (Gate Lyon Saint-Etienne, Université de Saint-etienne)

  • Philippe Solal

    ()
    (Gate Lyon Saint-Etienne, Université de Saint-etienne)

Abstract

We consider the problem of sharing water from a river among the group of countries located along it. The benefit of each country depends on the amount of water it consumes. An allocation of the water is efficient when it maximizes the total benefits of the countries. The problem of finding a fair welfare distribution can be modeled as a cooperative game. We introduce a new allocation rule, called the sequential equal surplus division, for sharing the total welfare resulting form the cooperation of countries along a river with bifurcations. This rule obeys the so-called Territorial Integration of all Basin States doctrine, which emphasizes compromise and fairness among countries. We provide two axiomatic characterizations of this rule.

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File URL: http://crese.univ-fcomte.fr/WP-2012-02.pdf
File Function: First version, 2012
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Bibliographic Info

Paper provided by CRESE in its series Working Papers with number 2012-02.

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Length: 24 pages
Date of creation: Oct 2012
Date of revision:
Handle: RePEc:crb:wpaper:2012-02

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Related research

Keywords: River TU-game; Sequential Equal Surplus Division; Water allocation; Standard solution; Consistency; Fairness; Amalgamation;

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References

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  1. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2009. "Weighted Component Fairness for Forest Games," MPRA Paper 17455, University Library of Munich, Germany.
  2. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
  3. Erik Ansink & Hans-Peter Weikard, 2012. "Sequential sharing rules for river sharing problems," Social Choice and Welfare, Springer, vol. 38(2), pages 187-210, February.
  4. Gabrielle Demange, 2004. "On Group Stability in Hierarchies and Networks," Journal of Political Economy, University of Chicago Press, vol. 112(4), pages 754-778, August.
  5. Herings, P. Jean Jacques & van der Laan, Gerard & Talman, Dolf, 2008. "The average tree solution for cycle-free graph games," Games and Economic Behavior, Elsevier, vol. 62(1), pages 77-92, January.
  6. Thomson, W., 1998. "Consistency and its Converse: an Introduction," RCER Working Papers 448, University of Rochester - Center for Economic Research (RCER).
  7. René Brink & Gerard Laan & Valeri Vasil’ev, 2007. "Component efficient solutions in line-graph games with applications," Economic Theory, Springer, vol. 33(2), pages 349-364, November.
  8. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2010. "Rooted-tree solutions for tree games," European Journal of Operational Research, Elsevier, vol. 203(2), pages 404-408, June.
  9. Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March.
  10. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer, vol. 28(4), pages 685-703, June.
  11. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2012. "Fair agreements for sharing international rivers with multiple springs and externalities," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 388-403.
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