Self-enforcing Agreements on Water allocation
AbstractMany water allocation agreements in transboundary river basins are inherently unstable. Due to stochastic river flow, agreements may be broken in case of drought. The objective of this paper is to analyse whether water allocation agreements can be self-enforcing. An agreement is modelled as the outcome of bargaining game on river water allocation. Given this agreement, the bargaining game is followed by a repeated extensive-form game in which countries decide whether or not to comply with the agreement. I assess under what conditions such agreements are self-enforcing, given stochastic river flow. The results show that, for sufficiently low discounting, every efficient agreement can be sustained in subgame perfect equilibrium. Requiring renegotiation-proofness may shrink the set of possible agreements to a unique self-enforcing agreement. The solution induced by this particular agreement implements the “downstream incremental distribution”, an axiomatic solution to water allocation that assigns all gains from cooperation to downstream countries.
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Bibliographic InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.73.
Date of creation: Sep 2009
Date of revision:
Self-Enforcing Agreement; Repeated Extensive-Form Game; Water Allocation; Renegotiation-Proofness;
Find related papers by JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- Q25 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Water
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- Marc GERMAIN & Henry TULKENS & Alphonse MAGNUS, 2009.
"Dynamic core-theoretic cooperation in a two-dimensional international environmental model,"
Discussion Papers (IRES - Institut de Recherches Economiques et Sociales)
2009015, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Germain, Marc & Tulkens, Henry & Magnus, Alphonse, 2010. "Dynamic core-theoretic cooperation in a two-dimensional international environmental model," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 208-226, March.
- Marc Germain & Henry Tulkens & Alphonse Magnus, 2009. "Dynamic Core-Theoretic Cooperation in a Two-Dimensional International Environmental Model," Working Papers 2009.26, Fondazione Eni Enrico Mattei.
- GERMAIN, Marc & TULKENS, Henry & MAGNUS, Alphonse, 2009. "Dynamic core-theoretic cooperation in a two-dimensional international environmental model," CORE Discussion Papers 2009021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Harold Houba, 2006.
"Computing Alternating Offers and Water Prices in Bilateral River Basin Management,"
Tinbergen Institute Discussion Papers
06-095/1, Tinbergen Institute.
- 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.
- Damme, E.E.C. van, 1989. "Renegotiation-proof equilibria in repeated prisoners' dilemma," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154423, Tilburg University.
- Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
- Busch, L-A. & Wen, Q., 1991.
"Perfect Equilibria in a Negotiation Model,"
University of Western Ontario, The Centre for the Study of International Economic Relations Working Papers
9108, University of Western Ontario, The Centre for the Study of International Economic Relations.
- Bergin, J. & Macleod, B., 1989.
"Eficiency And Renegotiation In Repeated Games,"
UFAE and IAE Working Papers
121-89, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- James Bergin & Bentley MacLeod, 1989. "Efficiency and Renegotiation in Repeated Games," Working Papers 752, Queen's University, Department of Economics.
- MacLeod, B.W. & Bergin, J., 1991. "Efficiency and Renegotiation in Repeated Games," Cahiers de recherche 9118, Universite de Montreal, Departement de sciences economiques.
- MacLeod, B.W. & Bergin, J., 1991. "Efficiency and Renegotiation in Repeated Games," Cahiers de recherche 9118, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Ansink, Erik & Weikard, Hans-Peter, 2009. "Contested water rights," European Journal of Political Economy, Elsevier, vol. 25(2), pages 247-260, June.
- Rubinstein Ariel & Wolinsky Asher, 1995. "Remarks on Infinitely Repeated Extensive-Form Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 110-115, April.
- Joseph Farrell and Eric Maskin., 1987.
"Renegotiation in Repeated Games,"
Economics Working Papers
8759, University of California at Berkeley.
- 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.
- 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.
- van Damme, Eric, 1989.
"Renegotiation-proof equilibria in repeated prisoners' dilemma,"
Journal of Economic Theory,
Elsevier, vol. 47(1), pages 206-217, February.
- van Damme,Eric, 1986. "Renegotiation-proof equilibria in repeated Prisoner`s dilemma," Discussion Paper Serie A 84, University of Bonn, Germany.
- Lynne Lewis Bennett & Charles W. Howe & James Shope, 2000. "The Interstate River Compact as a Water Allocation Mechanism: Efficiency Aspects," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(4), pages 1006-1015.
- Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
- Sorin Sylvain, 1995. "A Note on Repeated Extensive Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 116-123, April.
- Zara, Stefano & Patrone, Fioravante & Moretti, Stefano & Dinar, Ariel, 2006. "Application of Stochastic Cooperative Games in Water Resources," Economics Papers from University Paris Dauphine 123456789/4879, Paris Dauphine University.
- 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.
- Ambec, S. & Ehlers, L., 2007. "Cooperation and equity in the river sharing problem," Working Papers 200705, Grenoble Applied Economics Laboratory (GAEL).
- Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-94, Supplemen.
- Bhat, Mahadev G. & Huffaker, Ray G., 2007. "Management of a transboundary wildlife population: A self-enforcing cooperative agreement with renegotiation and variable transfer payments," Journal of Environmental Economics and Management, Elsevier, vol. 53(1), pages 54-67, January.
- Stephen Polasky & Nori Tarui & Gregory Ellis & Charles Mason, 2006. "Cooperation in the commons," Economic Theory, Springer, vol. 29(1), pages 71-88, September.
- Quan Wen, 2002.
"A Folk Theorem for Repeated Sequential Games,"
Review of Economic Studies,
Oxford University Press, vol. 69(2), pages 493-512.
- Yoon, Kiho, 2001. "A Folk Theorem for Asynchronously Repeated Games," Econometrica, Econometric Society, vol. 69(1), pages 191-200, January.
- 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.
- David McEvoy & John Stranlund, 2009. "Self-enforcing International Environmental Agreements with Costly Monitoring for Compliance," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 42(4), pages 491-508, April.
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