Sequential Sharing Rules for River Sharing Problems
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.
|Date of creation:||Dec 2009|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.feem.it/Email:
More information through EDIRC
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.:
- Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
- Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2007.
"Socially structured games,"
Other publications TiSEM
c2546c5b-249a-44a8-b917-7, School of Economics and Management.
- 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.
- Rahmi Ilkilic, 2012.
"Allocation rules on networks,"
DOCUMENTOS DE TRABAJO
009380, UNIVERSIDAD DEL ROSARIO.
- Erik Ansink & Arjan Ruijs, 2007.
"Climate Change and the Stability of Water Allocation Agreements,"
2007.16, Fondazione Eni Enrico Mattei.
- Erik Ansink & Arjan Ruijs, 2008. "Climate Change and the Stability of Water Allocation Agreements," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 41(2), pages 249-266, October.
- 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.
- Bettina Klaus & Hans Peters & Ton Storcken, 1997.
"Reallocation of an infinitely divisible good,"
Springer, vol. 10(2), pages 305-333.
- Moulin, Herve, 2001.
"Axiomatic Cost and Surplis-Sharing,"
2001-06, Rice University, Department of Economics.
- Marc Fleurbaey & Walter Bossert, 1996. "Redistribution and compensation (*)," Social Choice and Welfare, Springer, vol. 13(3), pages 343-355.
- 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.
- 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.
- Gregory Corcos & Massimo Del Gatto & Giordano Mion & Gianmarco I.P. Ottaviano, 2012. "Productivity and Firm Selection: Quantifying the ‘New’ Gains from Trade," Economic Journal, Royal Economic Society, vol. 122(561), pages 754-798, 06.
- Gregory Corcos & Massimo Del Gatto & Giordano Mion & Gianmarco I. P. Ottaviano, 2011. "Productivity and firm selection: quantifying the ‘new’ gains from trade," LSE Research Online Documents on Economics 42684, London School of Economics and Political Science, LSE Library.
- Corocs Gregory & Massimo Del Gatto & Giordano Mion & Gianmarco I P. Ottaviano, 2009. "Productivity and firm selection: quantifying the "new" gains from trade," LSE Research Online Documents on Economics 33249, London School of Economics and Political Science, LSE Library.
- Gianmarco I.P. Ottaviano & Gregory Corcos & Massimo Del Gatto & Giordano Mion, 2009. "Productivity and Firm Selection: Quantifying the “New” Gains from Trade," Working Papers 2009.115, Fondazione Eni Enrico Mattei.
- Gregory Corocs & Massimo Del Gatto & Giordano Mion & G.I.P. Ottaviano, 2009. "Productivity and Firm Selection: Quantifying the "New" Gains from Trade," SERC Discussion Papers 0028, Spatial Economics Research Centre, LSE.
- 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, School of Economics and Management.
- 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., 2004. "The Socially Stable Core in Structured Transferable Utility Games," Discussion Paper 2004-51, Tilburg University, Center for Economic Research.
- 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).
- Antonio Villar Notario & Carmen Herrero Blanco, 2000.
"The Three Musketeers: Four Classical Solutions To Bankruptcy Problems,"
Working Papers. Serie AD
2000-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- 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.
- Ansink, Erik & Weikard, Hans-Peter, 2009. "Contested water rights," European Journal of Political Economy, Elsevier, vol. 25(2), pages 247-260, June.
- 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.
- P. Herings & Arkadi Predtetchinski, 2012.
"Sequential share bargaining,"
International Journal of Game Theory,
Springer, vol. 41(2), pages 301-323, May.
- repec:ner:tilbur:urn:nbn:nl:ui:12-195975 is not listed on IDEAS
- repec:ner:tilbur:urn:nbn:nl:ui:12-195976 is not listed on IDEAS
- 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.
- Salvador Barbera, 1995.
"Strategy-Proof Allotment Rules,"
1142, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
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 references are entirely missing, you can add them using this form.