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Allocating $$\hbox {CO}_2$$ CO 2 emissions: a dynamic claims problem

Author

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  • Eun Jeong Heo

    (University of Seoul)

  • Jinhyuk Lee

    (Korea University)

Abstract

We analyze carbon dioxide emissions in a dynamic framework of conflicting claims problem (O’Neill in Math Soc Sci 2:345–371, 1982). We consider five allocation rules of the standard claims problem, taking a target carbon dioxide budget as an endowment to divide and the business-as-usual emissions of countries as a claims vector. The claims problem of one period is linked to another through economic growth, as an emission allocation affects the countries’ national income, which then affects their claims of the next period. We provide a numerical analysis of this framework to illustrate how an emission allocation influences economic growth cumulatively. By comparing the growth paths, we evaluate the allocation rules by means of convergence, equality, and efficiency criteria.

Suggested Citation

  • Eun Jeong Heo & Jinhyuk Lee, 2023. "Allocating $$\hbox {CO}_2$$ CO 2 emissions: a dynamic claims problem," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 163-186, February.
  • Handle: RePEc:spr:reecde:v:27:y:2023:i:1:d:10.1007_s10058-021-00286-z
    DOI: 10.1007/s10058-021-00286-z
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    References listed on IDEAS

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    1. Sala-i-Martin, Xavier X, 1996. "The Classical Approach to Convergence Analysis," Economic Journal, Royal Economic Society, vol. 106(437), pages 1019-1036, July.
    2. Moreno-Ternero, Juan D. & Vidal-Puga, Juan, 2021. "Aggregator operators for dynamic rationing," European Journal of Operational Research, Elsevier, vol. 288(2), pages 682-691.
    3. Elena Inarra & Anders Skonhoft, 2008. "Restoring a Fish Stock: A Dynamic Bankruptcy Problem," Land Economics, University of Wisconsin Press, vol. 84(2), pages 327-339.
    4. Bas Dietzenbacher & Peter Borm & Arantza Estévez-Fernández, 2020. "NTU-bankruptcy problems: consistency and the relative adjustment principle," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 101-122, June.
    5. William Thomson, 2008. "Two families of rules for the adjudication of conflicting claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 667-692, December.
    6. Giménez-Gómez, José-Manuel & Peris, Josep E., 2014. "A proportional approach to claims problems with a guaranteed minimum," European Journal of Operational Research, Elsevier, vol. 232(1), pages 109-116.
    7. Dong, Kangyin & Hochman, Gal & Zhang, Yaqing & Sun, Renjin & Li, Hui & Liao, Hua, 2018. "CO2 emissions, economic and population growth, and renewable energy: Empirical evidence across regions," Energy Economics, Elsevier, vol. 75(C), pages 180-192.
    8. Juan Moreno-Ternero & Antonio Villar, 2006. "The TAL-Family of Rules for Bankruptcy Problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 231-249, October.
    9. Thomson, William & Yeh, Chun-Hsien, 2008. "Operators for the adjudication of conflicting claims," Journal of Economic Theory, Elsevier, vol. 143(1), pages 177-198, November.
    10. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 107-114.
    11. 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.
    12. Malte Meinshausen & Nicolai Meinshausen & William Hare & Sarah C. B. Raper & Katja Frieler & Reto Knutti & David J. Frame & Myles R. Allen, 2009. "Greenhouse-gas emission targets for limiting global warming to 2 °C," Nature, Nature, vol. 458(7242), pages 1158-1162, April.
    13. Ju, Biung-Ghi & Kim, Min & Kim, Suyi & Moreno-Ternero, Juan D., 2021. "Fair international protocols for the abatement of GHG emissions," Energy Economics, Elsevier, vol. 94(C).
    14. Niklas H�hne & Michel den Elzen & Donovan Escalante, 2014. "Regional GHG reduction targets based on effort sharing: a comparison of studies," Climate Policy, Taylor & Francis Journals, vol. 14(1), pages 122-147, January.
    15. 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.
    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.
    17. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
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    More about this item

    Keywords

    $$hbox {CO}_2$$ CO 2 emissions; Claims problem; Climate change policy; GDP per capita; Growth;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • H4 - Public Economics - - Publicly Provided Goods
    • H8 - Public Economics - - Miscellaneous Issues
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming
    • Q58 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environmental Economics: Government Policy

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