Fair agreements for sharing international rivers with multiple springs and externalities
We consider the problem of sharing water among agents located along a river. Each agent's benefit depends on the amount of water consumed. An allocation of water is efficient when it maximizes total benefits. To sustain an efficient water allocation the agents can compensate each other by monetary transfers. Every water allocation and transfer schedule yield a welfare distribution, where an agent's utility equals its benefit plus (possibly negative) monetary transfer. The problem of finding a fair welfare distribution can be modeled by a cooperative game. We consider river situations with satiable agents and multiple springs. We propose the class of weighted hierarchical solutions, including the downstream incremental solution of Ambec and Sprumont (2002, ), as a class of solutions satisfying the ‘Territorial Integration of all Basin States’ principle for sharing water of international rivers. When all agents have increasing benefit functions, every weighted hierarchical solution is core-stable. In case of satiation points, every weighted hierarchical solution is independent of the externalities.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- D. Kilgour & Ariel Dinar, 2001. "Flexible Water Sharing within an International River Basin," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 18(1), pages 43-60, January.
- Geoffroy de Clippel & Roberto Serrano, 2005.
"Marginal Contributions and Externalities in the Value,"
2005-11, Brown University, Department of Economics.
- Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
- Geoffroy de Clippel & Roberto Serrano, 2007. "Marginal contributions and externalities in the value," Working Papers 2007-04, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Geoffroy de Clippel & Roberto Serrano, 2005. "Marginal Contributions And Externalities In The Value," Economics Working Papers we057339, Universidad Carlos III, Departamento de Economía.
- Armando Gomes, 2005. "Multilateral Contracting with Externalities," Econometrica, Econometric Society, vol. 73(4), pages 1329-1350, 07.
- Ambec, S. & Sprumont, Y., 2000.
"Sharing a River,"
00-06, Laval - Recherche en Energie.
- AMBEC, Steve & SPRUMONT, Yves, 2000. "Sharing a River," Cahiers de recherche 2000-08, Universite de Montreal, Departement de sciences economiques.
- Ambec, Stefan & Sprumont, Yves, 2000. "Sharing a River," Cahiers de recherche 0006, GREEN.
- Ambec, S. & Sprumont, Y., 2000. "Sharing a River," Cahiers de recherche 2000-08, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Debraj Ray & Rajiv Vohra, 1998.
"A Theory of Endogenous Coalition Structures,"
98-1, Brown University, Department of Economics, revised Jan 1998.
- Herings, P. Jean-Jacques & van der Laan, Gerard & Talman, Dolf, 2007.
"The socially stable core in structured transferable utility games,"
Games and Economic Behavior,
Elsevier, vol. 59(1), pages 85-104, April.
- Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2007. "The socially stable core in structured transferable utility games," Other publications TiSEM 28c8ea20-8a66-4d9e-b054-8, Tilburg University, School of Economics and Management.
- Herings,Jean-Jacques & Laan,Gerard,van der & Talman,Dolf, 2004. "The Socially Stable Core in Structured Transferable Utility Games," Research Memorandum 015, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2004. "The Socially Stable Core in Structured Transferable Utility Games," Discussion Paper 2004-51, Tilburg University, Center for Economic Research.
- P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2004. "The Socially Stable Core in Structured Transferable Utility Games," Tinbergen Institute Discussion Papers 04-043/1, Tinbergen Institute.
- Ambec, Stefan & Ehlers, Lars, 2008. "Sharing a river among satiable agents," Games and Economic Behavior, Elsevier, vol. 64(1), pages 35-50, September.
- 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.
- Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
- Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2008.
"The average tree solution for cycle-free graph games,"
Other publications TiSEM
f243609c-2847-415f-ae52-1, Tilburg University, School of Economics and Management.
- 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).
- 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.
- Gabrielle Demange, 2004.
"On group stability in hierarchies and networks,"
- Anna Khmelnitskaya, 2010. "Values for rooted-tree and sink-tree digraph games and sharing a river," Theory and Decision, Springer, vol. 69(4), pages 657-669, October.
- DUTTA, Bhaskar & EHLERS, Lars & KAR, Anirban, 2008.
"Externalities, Potential, Value and Consistency,"
Cahiers de recherche
2008-06, Universite de Montreal, Departement de sciences economiques.
- DUTTA, Bhaskar & EHLERS, Lars & KAR, Anirban, 2008. "Externalities, Potential, Value and Consistency," Cahiers de recherche 06-2008, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Bhaskar Dutta & Lars Ehlers & Anirban Kar, 2008. "Externalities, Potential, Value And Consistency," Working papers 168, Centre for Development Economics, Delhi School of Economics.
- M. J. Albizuri & J. Arin & J. Rubio, 2005. "An Axiom System For A Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 63-72.
- Yukihiko Funaki & Takehiko Yamato, 1999. "The core of an economy with a common pool resource: A partition function form approach," International Journal of Game Theory, Springer, vol. 28(2), pages 157-171.
When requesting a correction, please mention this item's handle: RePEc:eee:jeeman:v:63:y:2012:i:3:p:388-403. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.