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Sharing a river among satiable agents

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  • Ambec, Stefan
  • Ehlers, Lars

Abstract

We consider the problem of efficiently sharing water from a river among a group of satiable agents. Since each agent's benefit function exhibits a satiation point, the environment can be described as a cooperative game with externalities. We show that the downstream incremental distribution is the unique distribution which both is fair according to the "aspiration welfare" principle and satisfies the non-cooperative core lower bounds. On the other hand, the cooperative core may be empty. Furthermore, the downstream incremental distribution satisfies all core lower bounds for all connected coalitions if and only if each agent's individual rationality constraint is independent of the behavior of the other agents.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 64 (2008)
Issue (Month): 1 (September)
Pages: 35-50

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Handle: RePEc:eee:gamebe:v:64:y:2008:i:1:p:35-50

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Web page: http://www.elsevier.com/locate/inca/622836

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Keywords: Water allocation Externalities Core solutions Fairness;

References

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  1. Ni, Debing & Wang, Yuntong, 2007. "Sharing a polluted river," Games and Economic Behavior, Elsevier, vol. 60(1), pages 176-186, July.
  2. Henry Tulkens & Parkash Chander, 1997. "The Core of an Economy with Multilateral Environmental Externalities," International Journal of Game Theory, Springer, vol. 26(3), pages 379-401.
  3. 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.
  4. Moulin, H., 1989. "Uniform Externalities: Two Axioms For Fair Allocation," UFAE and IAE Working Papers 117-89, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  5. Ambec, S. & Sprumont, Y., 2000. "Sharing a River," Papers 00-06, Laval - Recherche en Energie.
  6. Carraro, Carlo & Siniscalco, Domenico, 1993. "Strategies for the international protection of the environment," Journal of Public Economics, Elsevier, vol. 52(3), pages 309-328, October.
  7. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  8. Gabrielle Demange, 2004. "On group stability in hierarchies and networks," Post-Print halshs-00581662, HAL.
  9. 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.
  10. Murgai, Rinku & Winters, Paul & Sadoulet, Elisabeth & Janvry, Alain de, 2002. "Localized and incomplete mutual insurance," Journal of Development Economics, Elsevier, vol. 67(2), pages 245-274, April.
  11. Navarro, Noemi, 2007. "Fair allocation in networks with externalities," Games and Economic Behavior, Elsevier, vol. 58(2), pages 354-364, February.
  12. Young, Robert A. & Haveman, Robert H., 1985. "Economics of water resources: a survey," Handbook of Natural Resource and Energy Economics, in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 2, chapter 11, pages 465-529 Elsevier.
  13. Geoffroy de Clippel & Roberto Serrano, 2005. "Marginal Contributions and Externalities in the Value," Working Papers 2005-11, Brown University, Department of Economics.
  14. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  15. Carraro, Carlo & Marchiori, Carmen & Sgobbi, Alessandra, 2005. "Applications of negotiation theory to water issues," Policy Research Working Paper Series 3641, The World Bank.
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Citations

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Cited by:
  1. Wang, Yuntong, 2011. "Trading water along a river," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 124-130, March.
  2. 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.
  3. 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.
  4. Ansink, Erik & Houba, Harold, 2012. "Market power in water markets," Journal of Environmental Economics and Management, Elsevier, vol. 64(2), pages 237-252.
  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. Dinar, Ariel & Blankespoor, Brian & Dinar, Shlomi & Kurukulasuriya, Pradeep, 2010. "Does precipitation and runoff variability affect treaty cooperation between states sharing international bilateral rivers?," Ecological Economics, Elsevier, vol. 69(12), pages 2568-2581, October.

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