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A Double-Weighted Bankruptcy Method to Allocate CO2 Emissions Permits

Author

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  • Stefano Moretti

    (LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Raja Trabelsi

    (LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique, LARODEC - Laboratoire de Recherche Opérationnelle de Décision et de Contrôle de Processus - Université de Tunis - ISG de Tunis)

Abstract

Global warming, as a result of greenhouse gases, is exceeding the planet's temperature stabilization capacities. Thus, greenhouse gas emissions must be reduced. We analyse a bankruptcy situation aimed at allocating emissions permits of CO2, the predominant greenhouse gas emitted by human activities. Inspired by the Constrained Equal Awards (CEA) solution for bankruptcy situations, we introduce a new allocation protocol based on the extension of the CEA solution over double-weighted bankruptcy situations, including two exogenous parameters aimed at providing a balance, in the request of emissions permits, between economic activities and the production of renewable energy. In these bi-criteria allocation problems, we focus on a computational approach to find an allocation protocol that does not prioritize any particular parameter. As an application of our method, we first consider CO2 permit allocation problems in European Union (EU) countries, using real data about the gross domestic product (GDP), the production rate of renewable energies, and countries' ‘demands' of CO2 emissions from 2010 to 2014. Then, we compare our approach with the CEA solution and its single-weighted extension to show the impact of using two weights over the distribution of CO2 emissions permits; we analyse the correlation between allocations of CO2 emission permits and the distribution of power within the EU Council to study the acceptability of alternative allocations.

Suggested Citation

  • Stefano Moretti & Raja Trabelsi, 2021. "A Double-Weighted Bankruptcy Method to Allocate CO2 Emissions Permits," Post-Print hal-03835536, HAL.
  • Handle: RePEc:hal:journl:hal-03835536
    DOI: 10.3390/g12040078
    Note: View the original document on HAL open archive server: https://hal.science/hal-03835536
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    References listed on IDEAS

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    1. Dan S. Felsenthal, 2016. "Erratum to: A Well-Behaved Index of a Priori P-Power for Simple N-Person Games," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(4), pages 383-383, December.
    2. Vesterdal, Morten & Svendsen, Gert Tinggaard, 2004. "How should greenhouse gas permits be allocated in the EU?," Energy Policy, Elsevier, vol. 32(8), pages 961-968, June.
    3. Thomson,William, 2019. "How to Divide When There Isn't Enough," Cambridge Books, Cambridge University Press, number 9781107194625.
    4. Zhou, P. & Wang, M., 2016. "Carbon dioxide emissions allocation: A review," Ecological Economics, Elsevier, vol. 125(C), pages 47-59.
    5. Zhou, P. & Sun, Z.R. & Zhou, D.Q., 2014. "Optimal path for controlling CO2 emissions in China: A perspective of efficiency analysis," Energy Economics, Elsevier, vol. 45(C), pages 99-110.
    6. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    7. Duro, Juan Antonio & Giménez-Gómez, José-Manuel & Vilella, Cori, 2020. "The allocation of CO2 emissions as a claims problem," Energy Economics, Elsevier, vol. 86(C).
    8. Thomson,William, 2019. "How to Divide When There Isn't Enough," Cambridge Books, Cambridge University Press, number 9781316646441.
    9. Adam Rose & Zhong Zhang, 2004. "Interregional burden-sharing of greenhouse gas mitigation in the United States," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 9(4), pages 477-500, October.
    10. José-Manuel Giménez-Gómez & Jordi Teixidó-Figueras & Cori Vilella, 2016. "The global carbon budget: a conflicting claims problem," Climatic Change, Springer, vol. 136(3), pages 693-703, June.
    11. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    12. Dan S. Felsenthal, 2016. "A Well-Behaved Index of a Priori P-Power for Simple N-Person Games," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(4), pages 367-381, December.
    13. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    14. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    15. Casas-Méndez, Balbina & Fragnelli, Vito & García-Jurado, Ignacio, 2011. "Weighted bankruptcy rules and the museum pass problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 161-168, November.
    16. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
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    1. Rosa van den Ende & Antoine Mandel & Agnieszka Rusinowska, 2023. "Network-based allocation of responsibility for GHG emissions," Post-Print halshs-04188365, HAL.

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    Keywords

    bankruptcy situations; CO 2 emissions permits; double-weighted allocation protocol;
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