Advanced Search
MyIDEAS: Login to save this paper or follow this series

Sequential Sharing Rules for River Sharing Problems

Contents:

Author Info

  • Erik Ansink

    (Wageningen University)

  • Hans-Peter Weikard

    (Wageningen University)

Abstract

We analyse the redistribution of a resource among agents who have claims to the resource and who are ordered linearly. A well known example of this particular situation is the river sharing problem. We exploit the linear order of agents to transform the river sharing problem to a sequence of two-agent river sharing problems. These reduced problems are mathematically equivalent to bankruptcy problems and can therefore be solved using any bankruptcy rule. Our proposed class of solutions, that we call sequential sharing rules, solves the river sharing problem. Our approach extends the bankruptcy literature to settings with a sequential structure of both the agents and the resource to be shared. In the paper, we first characterise a class of sequential sharing rules. Subsequently, we apply sequential sharing rules based on four classical bankruptcy rules, assess their properties, and compare them to four alternative solutions to the river sharing problem.

Download Info

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.
File URL: http://www.feem.it/userfiles/attach/2010221835324NDL2009.114.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.114.

as in new window
Length:
Date of creation: Dec 2009
Date of revision:
Handle: RePEc:fem:femwpa:2009.114

Contact details of provider:
Postal: Corso Magenta, 63 - 20123 Milan
Phone: 0039-2-52036934
Fax: 0039-2-52036946
Email:
Web page: http://www.feem.it/
More information through EDIRC

Related research

Keywords: River Sharing Problem; Sequential Sharing Rule; Bankruptcy Problem; Water Allocation;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

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.:
as in new window
  1. Goetz, Renan U. & Martinez, Yolanda & Rodrigo, Jofre, 2008. "Water allocation by social choice rules: The case of sequential rules," Ecological Economics, Elsevier, vol. 65(2), pages 304-314, April.
  2. Carraro, Carlo & Marchiori, Carmen & Sgobbi, Alessandra, 2007. "Negotiating on water: insights from non-cooperative bargaining theory," Environment and Development Economics, Cambridge University Press, vol. 12(02), pages 329-349, April.
  3. 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.
  4. Harold Houba, 2008. "Computing Alternating Offers And Water Prices In Bilateral River Basin Management," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 257-278.
  5. 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.
  6. Ilkilic, Rahmi & Kayi, Cagatay, 2012. "Allocation rules on networks," MPRA Paper 37305, University Library of Munich, Germany.
  7. Salvador Barbera, 1995. "Strategy-Proof Allotment Rules," Discussion Papers 1142, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Gregory Corcos & Massimo Del Gatto & Giordano Mion & Gianmarco I.P. Ottaviano, 2009. "Productivity and Firm Selection: Quantifying the "New" Gains from Trade," KITeS Working Papers 002, KITeS, Centre for Knowledge, Internationalization and Technology Studies, Universita' Bocconi, Milano, Italy, revised Mar 2009.
  9. Kenneth Arrow & Partha Dasgupta & Lawrence Goulder & Gretchen Daily & Paul Ehrlich & Geoffrey Heal & Simon Levin & Karl-Göran Mäler & Stephen Schneider & David Starrett & Brian Walker, 2004. "Are We Consuming Too Much?," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 147-172, Summer.
  10. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357 Elsevier.
  11. Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November.
  12. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
  13. Ansink, Erik & Weikard, Hans-Peter, 2009. "Contested water rights," European Journal of Political Economy, Elsevier, vol. 25(2), pages 247-260, June.
  14. Klaus,B. & Peters,H. & Storcken,T., 1995. "Reallocation of an infinetely divisible good," Research Memorandum 012, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  15. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
  16. P. Herings & Arkadi Predtetchinski, 2012. "Sequential share bargaining," International Journal of Game Theory, Springer, vol. 41(2), pages 301-323, May.
  17. Rodica Branzei & Giulio Ferrari & Vito Fragnelli & Stef Tijs, 2008. "A Flow Approach to Bankruptcy Problems," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(2), pages 146-153, September.
  18. 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.
  19. P. Herings & Gerard Laan & Dolf Talman, 2007. "Socially Structured Games," Theory and Decision, Springer, vol. 62(1), pages 1-29, February.
  20. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
  21. Erik Ansink & Arjan Ruijs, 2007. "Climate Change and the Stability of Water Allocation Agreements," Working Papers 2007.16, Fondazione Eni Enrico Mattei.
  22. Marc Fleurbaey & Walter Bossert, 1996. "Redistribution and compensation (*)," Social Choice and Welfare, Springer, vol. 13(3), pages 343-355.
  23. Coram, Alex, 2006. "The optimal allocation of water along a system of rivers: a continuous model with sequential bidding," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 50(3), September.
  24. Marc D. Davidson, 2008. "Wrongful Harm to Future Generations: The Case of Climate Change," Environmental Values, White Horse Press, vol. 17(4), pages 471-488, November.
  25. Bergantinos, Gustavo & Sanchez, Estela, 2002. "The proportional rule for problems with constraints and claims," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 225-249, March.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Beard, Rodney, 2011. "The river sharing problem: A review of the technical literature for policy economists," MPRA Paper 34382, University Library of Munich, Germany.
  2. Julien Chevallier & Benoît Sévi, 2009. "On the realized volatility of the ECX CO2 emissions 2008 futures contract: distribution, dynamics and forecasting," Working Papers halshs-00387286, HAL.
  3. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2012. "The Sequential Equal Surplus Division for Sharing International Rivers with Bifurcations," Working Papers 2012-02, CRESE.
  4. repec:dgr:uvatin:2011128 is not listed on IDEAS
  5. Ambec, Stefan & Dinar, Ariel & McKinney, Daene, 2011. "Fixed Water Sharing Agreements Sustainable to Drought," IDEI Working Papers 695, Institut d'Économie Industrielle (IDEI), Toulouse.
  6. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "The sequential equal surplus division for sharing a river," MPRA Paper 37346, University Library of Munich, Germany.
  7. Rene van den Brink & Arantza Estevez-Fernandez & Gerard van der Laan & Nigel Moes, 2011. "Independence Axioms for Water Allocation," Tinbergen Institute Discussion Papers 11-128/1, Tinbergen Institute.
  8. repec:dgr:kubcen:2013078 is not listed on IDEAS
  9. Erik Ansink & Hans-Peter Weikard, 2013. "Composition Properties in the River Claims Problem," Tinbergen Institute Discussion Papers 13-199/VIII, Tinbergen Institute.
  10. Hurt, Wesley & Osório, António (António Miguel), 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/237596, Universitat Rovira i Virgili, Department of Economics.
  11. 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.
  12. Hurt, Wesley & Osorio, Antonio, 2014. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," MPRA Paper 56690, University Library of Munich, Germany.
  13. Ambec, Stefan & Dinar, Ariel & McKinney, Daene, 2013. "Water sharing agreements sustainable to reduced flows," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 639-655.
  14. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "Baseline Rationing," Working Papers 2011-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
  15. Sylvain Beal & Amandine Ghintran & Eric Remila & Philippe Solal, 2013. "The River Sharing Problem: A Survey," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1340016-1-1.
  16. Erik Ansink & Carmen Marchiori, 2009. "Reallocating Water: An Application of Sequent," Working Papers 2009.126, Fondazione Eni Enrico Mattei.
  17. repec:dgr:uvatin:2012006 is not listed on IDEAS

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:fem:femwpa:2009.114. 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: (barbara racah).

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.