IDEAS home Printed from
   My bibliography  Save this paper

The Effects of the Length of the Period of Commitment on the Size of Stable International Environmental Agreements


  • GAUDET, Gérard


This paper extends the standard model of self-enforcing dynamic international environmental agreements by allowing the length of the period of commitment of such agreements to vary as a parameter. It analyzes the pattern of behavior of the size of stable coalitions, the stock of pollutant and the emission rate as a function of the length of the period of commitment. It is shown that the length of the period of commitment can have very significant effects on the equilibrium. Three distinct intervals for the length of the period of commitment are identified, across which the equilibrium and its dynamic behavior differ considerably. Whereas for sufficiently high values of the period of commitment only self-enforcing agreements of two countries are possible, for sufficiently low such values full cooperation can be generated. Lengths of periods of commitment between those two thresholds are characterized by an inverse relationship between the length of commitment and the membership size of the agreement. This suggests that considerable attention should be given to the determination of the length of such international agreements.

Suggested Citation

  • NKUIYA MBAKOP, R. Bruno & GAUDET, Gérard, 2010. "The Effects of the Length of the Period of Commitment on the Size of Stable International Environmental Agreements," Cahiers de recherche 02-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  • Handle: RePEc:mtl:montec:02-2010

    Download full text from publisher

    File URL:
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    1. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
    2. 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.
    3. Rubio, Santiago J. & Ulph, Alistair, 2007. "An infinite-horizon model of dynamic membership of international environmental agreements," Journal of Environmental Economics and Management, Elsevier, vol. 54(3), pages 296-310, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Michèle Breton & Lucia Sbragia & Georges Zaccour, 2010. "A Dynamic Model for International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 45(1), pages 25-48, January.
    2. Finus, Michael & Pintassilgo, Pedro, 2013. "The role of uncertainty and learning for the success of international climate agreements," Journal of Public Economics, Elsevier, vol. 103(C), pages 29-43.
    3. Hassan Benchekroun & Amrita Ray Chaudhuri, 2015. "Cleaner Technologies and the Stability of International Environmental Agreements," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(6), pages 887-915, December.
    4. Lina Mallozzi & Stefano Patri & Armando Sacco, 2015. "Differential Game Approach for International Environmental Agreements with Social Externalities," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(3), pages 135-154, December.
    5. Bakalova, Irina & Eyckmans, Johan, 2019. "Simulating the impact of heterogeneity on stability and effectiveness of international environmental agreements," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1151-1162.
    6. Biancardi, Marta & Villani, Giovanni, 2015. "The effects of R&D investments in international environmental agreements with asymmetric countries," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 30-39.
    7. Hong, Fuhai & Karp, Larry, 2012. "International Environmental Agreements with mixed strategies and investment," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 685-697.
    8. Hans-Peter Weikard & Rob Dellink, 2014. "Sticks and carrots for the design of international climate agreements with renegotiations," Annals of Operations Research, Springer, vol. 220(1), pages 49-68, September.
    9. Marco Battaglini & Bård Harstad, 2016. "Participation and Duration of Environmental Agreements," Journal of Political Economy, University of Chicago Press, vol. 124(1), pages 160-204.
    10. Kolstad Charles D, 2010. "Equity, Heterogeneity and International Environmental Agreements," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(2), pages 1-17, October.
    11. Santiago J. Rubio & Alistair Ulph, 2006. "Self-enforcing international environmental agreements revisited," Oxford Economic Papers, Oxford University Press, vol. 58(2), pages 233-263, April.
    12. Lazkano, Itziar & Marrouch, Walid & Nkuiya, Bruno, 2016. "Adaptation to climate change: how does heterogeneity in adaptation costs affect climate coalitions?," Environment and Development Economics, Cambridge University Press, vol. 21(6), pages 812-838, December.
    13. McEvoy, David M. & McGinty, Matthew, 2018. "Negotiating a uniform emissions tax in international environmental agreements," Journal of Environmental Economics and Management, Elsevier, vol. 90(C), pages 217-231.
    14. de Zeeuw, Aart, 2008. "Dynamic effects on the stability of international environmental agreements," Journal of Environmental Economics and Management, Elsevier, vol. 55(2), pages 163-174, March.
    15. Michael Finus & Raoul Schneider & Pedro Pintassilgo, 2019. "The Role of Social and Technical Excludability for the Success of Impure Public Good and Common Pool Agreements: The Case of International Fisheries," Graz Economics Papers 2019-12, University of Graz, Department of Economics.
    16. Bruno Nkuiya, 2012. "The Effects of the Length of the Period of Commitment on the Size of Stable International Environmental Agreements," Dynamic Games and Applications, Springer, vol. 2(4), pages 411-430, December.
    17. Mason, Charles F. & Polasky, Stephen & Tarui, Nori, 2017. "Cooperation on climate-change mitigation," European Economic Review, Elsevier, vol. 99(C), pages 43-55.
    18. Giovanni Villani & Marta Biancardi, 2019. "An Evolutionary Game Approach in International Environmental Agreements with R&D Investments," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 1027-1042, October.
    19. Finus, Michael & Schneider, Raoul & Pintassilgo, Pedro, 2020. "The role of social and technical excludability for the success of impure public good and common pool agreements," Resource and Energy Economics, Elsevier, vol. 59(C).
    20. Johan Eyckmans & Michael Finus, 2006. "New roads to international environmental agreements: the case of global warming," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 7(4), pages 391-414, December.

    More about this item


    International environmental agreements; global pollution; stock pollution; dynamic games;
    All these keywords.

    JEL classification:

    • Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • F53 - International Economics - - International Relations, National Security, and International Political Economy - - - International Agreements and Observance; International Organizations

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mtl:montec:02-2010. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sharon BREWER). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.