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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- Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
- 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.
- 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.
- 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.
- 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.
- 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 & Laan, Gerard van der & Talman, Dolf, 2008. "The average tree solution for cycle-free graph games," Open Access publications from Maastricht University urn:nbn:nl:ui:27-22849, Maastricht University.
- Thomson, W., 1998.
"Consistency and its Converse: an Introduction,"
RCER Working Papers
448, University of Rochester - Center for Economic Research (RCER).
- 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.
- Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012.
"Weighted component fairness for forest games,"
Mathematical Social Sciences,
Elsevier, vol. 64(2), pages 144-151.
- 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.
- Aadland, David & Kolpin, Van, 1998. "Shared irrigation costs: An empirical and axiomatic analysis," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 203-218, March.
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