The Sequential Equal Surplus Division for Sharing International Rivers with Bifurcations
AbstractWe 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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Bibliographic InfoPaper provided by CRESE in its series Working Papers with number 2012-02.
Length: 24 pages
Date of creation: Oct 2012
Date of revision:
River TU-game; Sequential Equal Surplus Division; Water allocation; Standard solution; Consistency; Fairness; Amalgamation;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March.
- Gabrielle Demange, 2004.
"On group stability in hierarchies and networks,"
- 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.
- HERINGS, P. Jean-Jacques & van der LAAN, Gerard & TALMAN, Dolf, . "The average tree solution for cycle-free graph games," CORE Discussion Papers RP -2155, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Herings, P.J.J. & Laan, G. van der & Talman, A.J.J., 2008. "The average tree solution for cycle-free graph games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-377604, Tilburg University.
- Rene van den Brink & Gerard van der Laan & Nigel Moes, 2010.
"Fair Agreements for Sharing International Rivers with Multiple Springs and Externalities,"
Tinbergen Institute Discussion Papers
10-096/1, Tinbergen Institute.
- 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.
- 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.
- 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.
- 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.
- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004. "The Consensus Value: A New Solution Concept for Cooperative Games," Discussion Paper 2004-50, Tilburg University, Center for Economic Research.
- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2007. "The consensus value: A new solution concept for cooperative games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-195202, Tilburg University.
- Erik Ansink & Hans-Peter Weikard, 2009.
"Sequential Sharing Rules for River Sharing Problems,"
2009.114, Fondazione Eni Enrico Mattei.
- 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.
- Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2009.
"Weighted Component Fairness for Forest Games,"
17455, University Library of Munich, Germany.
- repec:ner:maastr:urn:nbn:nl:ui:27-22849 is not listed on IDEAS
- William Thomson, 2011.
"Consistency and its converse: an introduction,"
Review of Economic Design,
Springer, vol. 15(4), pages 257-291, December.
- Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
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