Beard, Rodney (2011): The river sharing problem: A review of the technical literature for policy economists.
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Water is essential for life. However, the basic problem of water resource allocation has been that water tends to be over-allocated. Demand for water exceeds the available supply. Essentially, the water economy is bankrupt. Bankruptcy problems have been almost exhaustively studied in the literature on economic theory-primarily from the perspective of cooperative game theory. The main concern of this literature has been how to fairly divide up the assets of a bankrupt entity. In water resource economics cooperative game theory has often been employed as a means of analyzing water resource allocation. It was only recently that the problem of directional flow was incorporated into such analyses. This has come to be known as the “river sharing problem” in the theoretical literature. Accounting for the direction of flow in water resource allocation problems has profound implications for policies that wish to facilitate both fair and efficient water allocations. This is the case whether proposed policies are interventionist or market based in nature. There is now a considerable literature on the allocation and distribution of water resources characterized by unidirectional flow. In this paper I critically review and appraise this literature with a view to making it more accessible to applied and policy economists. A key feature of the paper is that the connection between the bankruptcy literature, which has recently also realized the importance of flow, and the river sharing literature is discussed. The current state of the art in game theoretic models of water resource allocation with directional flow is discussed and implications and consequences for water resource policy highlighted
|Item Type:||MPRA Paper|
|Original Title:||The river sharing problem: A review of the technical literature for policy economists|
|Keywords:||River sharing problem, Bankruptcy, Cooperative game theory, Water resouyrce allocation, distributive justice|
|Subjects:||D - Microeconomics > D6 - Welfare Economics > D63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games
B - History of Economic Thought, Methodology, and Heterodox Approaches > B2 - History of Economic Thought since 1925 > B23 - Econometrics ; Quantitative and Mathematical Studies
Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation > Q25 - Water
|Depositing User:||Rodney Beard|
|Date Deposited:||28. Oct 2011 22:27|
|Last Modified:||13. Feb 2013 22:35|
Ahuja, R.K., Magnani, T.L. and Orlin, J.B. Network flows, New Jersey, Prentice Hall, 1993.
D’Albis, H. and Ambec, S. (2009) Fair intergenerational sharing of a natural resource, mimeo, september 17.
Ambec, S. and Sprumont, Y. (2002). Sharing a River, Journal of Economic Theory, Elsevier, vol. 107(2), pp. 453-462
Ambec, S. and Ehlers, L., (2008a) Cooperation and equity in the river sharing problem, in: Game Theory and Policy Making in Natural Resources and the Environment Edited by Ariel Dinar et al., Routledge Publishers 2008.
Ambec, S. and Ehlers, L. (2008b) Sharing a river among satiable agents, Games and Economic Behavior, Volume 64, Issue 1, September 2008, pp. 35-50.
Ansink, E. and Weikard, H-P. (2011) Sequential sharing rules for river sharing problems, Social Choice and Welfare, forthcoming.
Beard, R. and McDonald, S. (2007) “Time-consistent fair water sharing agreements”, in: Jørgensen, Steffen; Vincent, Thomas; Quincampoix, Marc (Eds.) Advances in Dynamic Game Theory and Applications Series: Annals of the International Society of Dynamic Games, Vol. 9, 2007.
Branzei, Rodica., Giulio Ferrari, Vito Fragnelli, Stef Tijs (2008) A Flow Approach to Bankruptcy Problems, Acta Universitatis Carolinae Oeconomica, 2, pp. 146–153.
Coram, Alex, The optimal allocation of water along a system of rivers: a continuous model with sequential bidding. Australian Journal of Agricultural and Resource Economics. 2006. Vol.50. Issue 3.
Hendrickx, R. Cooperation and Allocation, PhD Thesis, CenTER, Tilburg University, 2004.
Houba, H. (2008) Computing alternating offers in bilateral river basin management, International Game Theory Review, Vol. 10, No.3, pp. 257-278.
Mariotti, M. and Villar, A. (2005) The Nash rationing problem, International Journal of Game Theory, 33(3), pp. 367-377.
Ni Debing, Yuntong Wang, Sharing a polluted river, Games and Economic Behavior, Volume 60, Issue 1, July 2007, pp.176-186.
O’Neill, B. (1982) A problem of rights arbitration from the Talmud, Mathematical Social Sciences, 40, pp. 345-371.
Parrachino, Irene, Ariel Dinar and Fioravante Patrone, (2006) Cooperative game theory and its applications to natural , environmental and water resource issues: 3. Application to Water Resources, The World Bank, Policy research working paper series, no. 4074.
Rogers, P. (1969) A game theoretic approach to the problems of international river basins, Water Resources Research, 5(4), pp. 749-760.
Schmeidler, D. (1969) The nucleolus of a characteristic function game, SIAM Journal of Applied Mathematics, 17(6), pp. 1163-1170.
Straffin, P. and Heaney, J. (1977) Game theory and the Tennessee Valley Authority, International Journal of Game Theory 10(1), pp. 35-43.
Suzuki, M. and Nakayama, M. (1974) The cost Assignment of the Cooperative Water Resource Development - A Game Theoretical Approach, Tokyo Institute of Technology, Ookayama, Meguro-kw, Tokyo, Japan.
Suzuki, M. and Nakayama, M. (1976) The cost assignment of the cooperative water resource development, Management Science, 22(10), pp. 1081-1086.
Thomson, W. (2003) Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey, Mathematical social sciences 45, pp. 249-297.
Weber, M. (2001) Markets for water rights under environmental constraints, Journal of Environmental Economics and Management, 42, pp. 53-56.