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International Environmental Agreements for River Sharing Problems

Author

Listed:
  • Harold Houba

    (VU University Amsterdam)

  • Gerard van der Laan

    (VU University Amsterdam)

  • Yuyu Zeng

    (VU University Amsterdam)

Abstract

This discussion paper led to a publication in Environmental and Resource Economics . We study coalition formation and the strategic timing of membership of an IEA for environmental issues in the Coalitional Bargaining Game (CBG) of Gomes 2005, Econometrica). For the general CBG, we derive the necessary and sufficient condition for immediate formation of the grand coalition. We apply the CBG to a river sharing problem with two symmetric upstream agents and one downstream agent. Taking the discount factor and a productivity variable of water as parameters, we identify five regions in the parameter space. First, there is a region in which the grand coalition always forms immediately. Second, there are two regions in which there is for sure gradual coalition formation, in one of these regions there is a positive probability that the upstream agents form a monopoly. Third, there are two regions in which the grand coalition forms immediately with positive probability, but also gradual coalition formation might occur with positive probability.

Suggested Citation

  • Harold Houba & Gerard van der Laan & Yuyu Zeng, 2013. "International Environmental Agreements for River Sharing Problems," Tinbergen Institute Discussion Papers 13-157/II, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20130157
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Armando Gomes & Philippe Jehiel, 2005. "Dynamic Processes of Social and Economic Interactions: On the Persistence of Inefficiencies," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 626-667, June.
    3. Parkash Chander & Henry Tulkens, 2006. "The Core of an Economy with Multilateral Environmental Externalities," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 153-175, Springer.
    4. Hans-Peter Weikard & Michael Finus & Juan-Carlos Altamirano-Cabrera, 2006. "The impact of surplus sharing on the stability of international climate agreements," Oxford Economic Papers, Oxford University Press, vol. 58(2), pages 209-232, April.
    5. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475.
    6. Carraro, Carlo & Marchiori, Carmen & Sgobbi, Alessandra, 2005. "Advances in negotiation theory : bargaining, coalitions, and fairness," Policy Research Working Paper Series 3642, The World Bank.
    7. Okada, Akira, 2011. "Coalitional bargaining games with random proposers: Theory and application," Games and Economic Behavior, Elsevier, vol. 73(1), pages 227-235, September.
    8. Carlo Carraro & Johan Eyckmans & Michael Finus, 2006. "Optimal transfers and participation decisions in international environmental agreements," The Review of International Organizations, Springer, vol. 1(4), pages 379-396, December.
    9. Houba, Harold & van der Laan, Gerard & Zeng, Yuyu, 2014. "Asymmetric Nash Solutions in the River Sharing Problem," Strategic Behavior and the Environment, now publishers, vol. 4(4), pages 321-360, December.
    10. Marc Germain & Philippe Toint & Henry Tulkens & Aart Zeeuw, 2006. "Transfers to Sustain Dynamic Core-Theoretic Cooperation in International Stock Pollutant Control," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 251-274, Springer.
    11. Matthew McGinty & Garrett Milam & Alejandro Gelves, 2012. "Coalition Stability in Public Goods Provision: Testing an Optimal Allocation Rule," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 52(3), pages 327-345, July.
    12. Carlo Carraro & Carmen Marchiori & Alessandra Sgobbi, 2005. "Applications of Negotiation Theory to Water Issues," Working Papers 2005.65, Fondazione Eni Enrico Mattei.
    13. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    14. Akira Okada, 2000. "The Efficiency Principle in Non-Cooperative Coalitional Bargaining," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 34-50, March.
    15. Parkash Chander & Henry Tulkens, 2006. "A Core-Theoretic Solution for the Design of Cooperative Agreements on Transfrontier Pollution," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 176-193, Springer.
    16. Hans‐Peter Weikard, 2009. "Cartel Stability Under An Optimal Sharing Rule," Manchester School, University of Manchester, vol. 77(5), pages 575-593, September.
    17. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2012. "Fair agreements for sharing international rivers with multiple springs and externalities," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 388-403.
    18. Maarten F. Cornet, 2003. "Partition function bargaining with public demands," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(4), pages 845-862, November.
    19. Houba, Harold & Sneek, Koos & Vardy, Felix, 2000. "Can negotiations prevent fish wars?," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1265-1280, July.
    20. Nagashima, Miyuki & Dellink, Rob & van Ierland, Ekko & Weikard, Hans-Peter, 2009. "Stability of international climate coalitions -- A comparison of transfer schemes," Ecological Economics, Elsevier, vol. 68(5), pages 1476-1487, March.
    21. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    22. Armando Gomes, 2005. "Multilateral Contracting with Externalities," Econometrica, Econometric Society, vol. 73(4), pages 1329-1350, July.
    23. 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.
    24. Rachel T. A. Croson & Armando Gomes & Kathleen L. McGinn & Markus Nöth, 2004. "Mergers and Acquisitions: An Experimental Analysis of Synergies, Externalities and Dynamics," Review of Finance, European Finance Association, vol. 8(4), pages 481-514.
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    Cited by:

    1. Ansink, Erik & Gengenbach, Michael & Weikard, Hans-Peter, 2012. "River Sharing and Water Trade," Climate Change and Sustainable Development 122860, Fondazione Eni Enrico Mattei (FEEM).
    2. Michael Finus & Bianca Rundshagen, 2015. "Game Theory and Environmental and Resource Economics–In Honour of Alfred Endres," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(4), pages 657-664, December.

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    More about this item

    Keywords

    Coalitional Bargaining Game; International Environmental Agreements; River Sharing Problems; Markov Perfect Equilibrium; Efficiency; Monopoly;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • Q25 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Water

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