Independence Axioms for Water Allocation
AbstractWe consider the problem of sharing water among agents located along a river. Each agent has quasi-linear preferences over river water and money, where the benefit of consuming an amount of water is given by a continuous and concave benefit function. A solution to the problem efficiently distributes the river water over the agents and wastes no money. We introduce a number of (independence) axioms to characterize two new and two existing solutions. We apply the solutions to the particular case that every agent has constant marginal benefit of one up to a satiation point and marginal benefit of zero thereafter. In this case we find that two of the solutions (one existing and one new) can be implemented without monetary transfers between the agents.
Download InfoIf 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.
Bibliographic InfoPaper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 11-128/1.
Date of creation: 09 Sep 2011
Date of revision:
Contact details of provider:
Web page: http://www.tinbergen.nl
Water allocation; Harmon doctrine; concave benefit function; stability; externality; independence axiom; water claim;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D62 - Microeconomics - - Welfare Economics - - - Externalities
- Q25 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Water
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.:
- 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.
- 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.
- 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.
- René van den Brink, 2004. "Null or Zero Players: The Difference between the Shapley Value and the Egalitarian Solution," Tinbergen Institute Discussion Papers 04-127/1, Tinbergen Institute.
- Dinar, Ariel & Rosegrant, Mark W. & Meinzen-Dick, Ruth, 1997. "Water allocation mechanisms : principles and examples," Policy Research Working Paper Series 1779, The World Bank.
- Kilgour, D. Marc & Dinar, Ariel, 1995. "Are stable agreements for sharing international river waters now possible?," Policy Research Working Paper Series 1474, The World Bank.
- Parrachino, Irene & Dinar, Ariel & Patrone, Fioravante, 2006. "Cooperative game theory and its application to natural, environmental, and water resource issues : 3. application to water resources," Policy Research Working Paper Series 4074, The World Bank.
- Ansink, Erik & Weikard, Hans-Peter, 2013. "Composition properties in the river claims problem," MPRA Paper 51618, University Library of Munich, Germany.
- Gerard van der Laan & Nigel Moes, 2012. "Transboundary Externalities and Property Rights: An International River Pollution Model," Tinbergen Institute Discussion Papers 12-006/1, Tinbergen Institute.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Antoine Maartens (+31 626 - 160 892)).
If references are entirely missing, you can add them using this form.