IDEAS home Printed from https://ideas.repec.org/a/kap/enreec/v88y2025i2d10.1007_s10640-024-00927-1.html
   My bibliography  Save this article

Self-Enforcing Environmental Agreements with the Optimal Intensity of Cooperation

Author

Listed:
  • Thomas Eichner

    (University of Hagen)

  • Mark Schopf

    (University of Hagen)

Abstract

This paper analyzes international environmental agreements in three-stage games consisting of a membership subgame, the signatories’ decision on the intensity of cooperation, and an emissions subgame. Signatories may act as Stackelberg leaders or play Nash. In the Stackelberg game, the highest intensity of cooperation between signatories is optimal. In the Nash game, a moderate or the highest intensity of cooperation is optimal if emissions are strategic substitutes. In this case the equilibrium emissions and the stable coalition of the Nash game with optimal cooperation intensity are identical to the equilibrium emissions and the stable coalition of the Stackelberg game with the highest cooperation intensity. Finally, we apply our results to coalition formation games of the literature. In the applied Nash games, optimizing with respect to the cooperation intensity may enlarge the stable coalition up to the grand coalition which implements the first best.

Suggested Citation

  • Thomas Eichner & Mark Schopf, 2025. "Self-Enforcing Environmental Agreements with the Optimal Intensity of Cooperation," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 88(2), pages 249-278, February.
  • Handle: RePEc:kap:enreec:v:88:y:2025:i:2:d:10.1007_s10640-024-00927-1
    DOI: 10.1007/s10640-024-00927-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10640-024-00927-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10640-024-00927-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sylvie Thoron, 1998. "Formation of a Coalition-Proof Stable Cartel," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 63-76, February.
    2. Eichner, Thomas & Pethig, Rüdiger, 2013. "Self-enforcing environmental agreements and international trade," Journal of Public Economics, Elsevier, vol. 102(C), pages 37-50.
    3. Effrosyni Diamantoudi & Eftichios S. Sartzetakis, 2006. "Stable International Environmental Agreements: An Analytical Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(2), pages 247-263, May.
    4. Richard Cornes & Roger Hartley, 2007. "Aggregative Public Good Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 201-219, April.
    5. Colombo, Luca & Labrecciosa, Paola & Van Long, Ngo, 2022. "A dynamic analysis of international environmental agreements under partial cooperation," European Economic Review, Elsevier, vol. 143(C).
    6. Nkuiya, Bruno, 2020. "Stability of international environmental agreements under isoelastic utility," Resource and Energy Economics, Elsevier, vol. 59(C).
    7. Finus, Michael & Furini, Francesco & Rohrer, Anna Viktoria, 2021. "The efficacy of international environmental agreements when adaptation matters: Nash-Cournot vs Stackelberg leadership," Journal of Environmental Economics and Management, Elsevier, vol. 109(C).
    8. 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.
    9. Juan‐Carlos Altamirano‐Cabrera & Michael Finus & Rob Dellink, 2008. "Do Abatement Quotas Lead To More Successful Climate Coalitions?," Manchester School, University of Manchester, vol. 76(1), pages 104-129, January.
    10. Bayramoglu, Basak & Finus, Michael & Jacques, Jean-François, 2018. "Climate agreements in a mitigation-adaptation game," Journal of Public Economics, Elsevier, vol. 165(C), pages 101-113.
    11. Finus, Michael & Furini, Francesco & Rohrer, Anna Viktoria, 2024. "The Stackelberg vs. Nash-Cournot Folk-theorem in international environmental agreements," Economics Letters, Elsevier, vol. 234(C).
    12. Michael Finus & Francesco Furini & Anna Viktoria Rohrer, 2024. "The Stackelberg vs. Nash-Cournot Folk-theorem in International Environmental Agreements," Graz Economics Papers 2024-02, University of Graz, Department of Economics.
    13. 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.
    14. Zu, Lei & Zhang, Jin & Wang, Shouyang, 2012. "The size of stable cartels: An analytical approach," International Journal of Industrial Organization, Elsevier, vol. 30(2), pages 217-222.
    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. Mark Schopf, 2024. "Self-Enforcing International Environmental Agreements and Altruistic Preferences," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 87(9), pages 2309-2359, September.
    2. Hagen, Achim & Schopf, Mark, 2024. "Political influence on international climate agreements with border carbon adjustment," Journal of Environmental Economics and Management, Elsevier, vol. 125(C).
    3. Effrosyni Diamantoudi & Eftichios Sartzetakis & Stefania Strantza, 2018. "International Environmental Agreements and Trading Blocks - Can issue linkage enhance cooperation?," Discussion Paper Series 2018_07, Department of Economics, University of Macedonia, revised Jun 2018.
    4. Miguel Borrero & Santiago J. Rubio, 2022. "An adaptation-mitigation game: does adaptation promote participation in international environmental agreements?," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 22(3), pages 439-479, September.
    5. Karp, Larry & Simon, Leo, 2013. "Participation games and international environmental agreements: A non-parametric model," Journal of Environmental Economics and Management, Elsevier, vol. 65(2), pages 326-344.
    6. Eichner, Thomas & Pethig, Rüdiger, 2024. "International environmental agreements when countries behave morally," Journal of Environmental Economics and Management, Elsevier, vol. 125(C).
    7. Eichner, Thomas & Pethig, Rüdiger, 2014. "Self-enforcing environmental agreements and capital mobility," Regional Science and Urban Economics, Elsevier, vol. 48(C), pages 120-132.
    8. By Thomas Eichner & Rüdiger Pethig, 2015. "Self-enforcing international environmental agreements and trade: taxes versus caps," Oxford Economic Papers, Oxford University Press, vol. 67(4), pages 897-917.
    9. Thomas Eichner & Rüdiger Pethig, 2013. "Trade tariffs and self-enforcing environmental agreements," Volkswirtschaftliche Diskussionsbeiträge 161-13, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
    10. Michael Finus & Francesco Furini & Anna Viktoria Rohrer, 2021. "International Environmental Agreements and the Paradox of Cooperation: Revisiting and Generalizing Some Previous Results," Graz Economics Papers 2021-05, University of Graz, Department of Economics.
    11. Achim Hagen & Klaus Eisenack, 2019. "Climate Clubs Versus Single Coalitions: The Ambition Of International Environmental Agreements," Climate Change Economics (CCE), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 1-19, August.
    12. Hagen, Achim & Schneider, Jan, 2021. "Trade sanctions and the stability of climate coalitions," Journal of Environmental Economics and Management, Elsevier, vol. 109(C).
    13. Erik Ansink & Cees A. Withagen, 2016. "Members, Joiners, Free-Riders, Supporters," CESifo Working Paper Series 5802, CESifo.
    14. Michael Finus & Francesco Furini, 2024. "Global Public Good Agreements with Fixed Costs," Graz Economics Papers 2024-18, University of Graz, Department of Economics.
    15. Achim Hagen & Pierre von Mouche & Hans-Peter Weikard, 2020. "The Two-Stage Game Approach to Coalition Formation: Where We Stand and Ways to Go," Games, MDPI, vol. 11(1), pages 1-31, January.
    16. Irina Bakalova & Mariia Belaia, 2023. "Stability of Efficient International Agreements on Solar Geoengineering," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 86(3), pages 673-712, November.
    17. Mao, Liang, 2020. "Designing international environmental agreements under participation uncertainty," Resource and Energy Economics, Elsevier, vol. 61(C).
    18. Effrosyni Diamantoudi & Eftichios Sartzetakis & Stefania Strantza, 2018. "International Environmental Agreements and Trading Blocks - Can issue linkage enhance cooperation?," Discussion Paper Series 2018_07, Department of Economics, University of Macedonia, revised Jun 2018.
    19. Eichner, Thomas & Pethig, Rüdiger, 2017. "Self-enforcing environmental agreements and trade in fossil energy deposits," Journal of Environmental Economics and Management, Elsevier, vol. 85(C), pages 1-20.
    20. Effrosyni Diamantoudi & Eftichios S. Sartzetakis & Stefania Strantza, 2023. "Climate Coalitions and their Persistent Ineffectiveness," Discussion Paper Series 2023_04, Department of Economics, University of Macedonia, revised Apr 2023.

    More about this item

    Keywords

    Optimal intensity of cooperation; Stable coalition; Nash; Stackelberg;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • F55 - International Economics - - International Relations, National Security, and International Political Economy - - - International Institutional Arrangements
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

    Statistics

    Access and download statistics

    Corrections

    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:kap:enreec:v:88:y:2025:i:2:d:10.1007_s10640-024-00927-1. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.