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Sharing a river among satiable agents

  • Ambec, Stefan
  • Ehlers, Lars

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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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
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. 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.
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  3. de Janvry, Alain & Sadoulet, Elisabeth & Winters, Paul C. & Murgai, Rinku, 2000. "Localized and Incomplete Mutual Insurance," Working Papers 12905, University of New England, School of Economics.
  4. Ambec, S. & Sprumont, Y., 2000. "Sharing a River," Cahiers de recherche 2000-08, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  7. Carraro, Carlo & Marchiori, Carmen & Sgobbi, Alessandra, 2005. "Applications of negotiation theory to water issues," Policy Research Working Paper Series 3641, The World Bank.
  8. 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.
  9. Gabrielle Demange, 2004. "On group stability in hierarchies and networks," Post-Print halshs-00581662, HAL.
  10. Navarro, Noemi, 2007. "Fair allocation in networks with externalities," Games and Economic Behavior, Elsevier, vol. 58(2), pages 354-364, February.
  11. Ni, Debing & Wang, Yuntong, 2007. "Sharing a polluted river," Games and Economic Behavior, Elsevier, vol. 60(1), pages 176-186, July.
  12. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  13. 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.
  14. 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.
  15. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
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