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Sharing the costs and benefits of climate change mitigation via Shapley value

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Abstract

This paper examines the free rider problem that exists in the joint effort to mitigate climate change. There is a need to develop a model that is stable and that provides evidence of an objective burden sharing rule so that the environmental agreement is more acceptable. This study approaches this problem via a cooperative game at the global level to make International Environmental Agreements (IEA) more stable. For this purpose, we apply the Shapley value transfer mechanism and find that under the commitment scenario, some regions attain the maximum benefits by joining the coalition. Shapley value transfer improves the coalition size and increases the global benefits at a certain level of abatement under perfect cooperation. Imperfect cooperation leads to lower levels of global benefits. Our findings offer new implications on how to improve the international cooperation for climate change. Commitments by major regions could activate the IEA (e.g., Paris agreement) efficiently. For the maximum global response to climate change, the national governments must reformulate and implement policies to meet their intended nationally determined contributions (INDCs). The results of this study also help the national governments to set their implementation priorities to implement the Paris Accord at global level.

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Notes

  1. Business as usual (BAU) is a starting point of the analysis which based on the set of assumptions. All these assumptions are defined above for the simulation purpose.

  2. The Shapley value in our paper is taken from Winter (2002) with some modifications.

  3. Because of space limitations, the interested reader is referred to Fankhauser (1995, 2013) and Tol (1996, 2005).

  4. Under the stable coalition commitments, the maximum net benefits and maximum gain under the Shapley value scenario by cooperation are 3040 = (5344 − (3 × (546 + 61 + 161) and (3040/5344) × 100 = 56.88%. This is calculated for the coalition structure of EC, ET, and CN. Similarly, we calculated the maximum net benefit and maximum gain from cooperation for each coalition structure.

References

  • Aakre S, Hovi J (2010) Emission trading: participation enforcement determines the need for compliance enforcement. Eur Union Polit 11:427–445. https://doi.org/10.1177/1465116510369265

    Article  Google Scholar 

  • Ackerman F, Stanton EA (2012) Climate risks and carbon prices: revising the social cost of carbon. Economics 6. https://doi.org/10.5018/economics-ejournal.ja.2012-10

    Google Scholar 

  • Ahn B-H, Kim Y-G (2001) Tradable tagged permit system for global pollution control. J Policy Model 23:569–594

    Article  Google Scholar 

  • Barrett S (1997) Heterogeneous international environmental agreements

  • Barrett S (2008) Climate treaties and the imperative of enforcement. Oxf Rev Econ Policy 24:239–258

    Article  Google Scholar 

  • Baumol W, Oates W (1988) The theory of environmental policy. Cambridge University Press

  • Bohm P, Carlén B (2002) A cost-effective approach to attracting low-income countries to international emissions trading: theory and experiments. Environ Resour Econ 23:187–211

    Article  Google Scholar 

  • Bollen J, van der Zwaan B, Brink C, Eerens H (2009) Local air pollution and global climate change: a combined cost-benefit analysis. Resour Energy Econ 31:161–181. https://doi.org/10.1016/j.reseneeco.2009.03.001

    Article  Google Scholar 

  • Botteon M, Carraro C (1997) Environmental coalitions with heterogeneous countries: burden-sharing and carbon leakage. Fond Eni Enrico Mattei Work Pap

  • Carraro C (2003) The endogenous formation of economic coalitions. Edward Elgar Publishing

  • Carraro C, Siniscalco D (1993) Strategies for the international protection of the environment. J Public Econ 52:309–328

    Article  Google Scholar 

  • Dellink R, Altamirano-Cabrera J, Finus M et al (2004a) Empirical background paper of the STACO model. Wageningen Univ Environ Econ Nat Resour Gr:1–20

  • Dellink RB, Finus M, van Ierland EC, Altamirano JC (2004b) Empirical background paper of the STACO model

  • Ellerman AD, Decaux A (1998) Analysis of post-Kyoto CO2 emissions trading using marginal abatement curves

  • Eyckmans J, Tulkens H (2003) Simulating coalitionally stable burden sharing agreements for the climate change problem. Resour Energy Econ 25:299–327

    Article  Google Scholar 

  • Fankhauser S (1995) Valuing climate change: the economics of the greenhouse. Earthscan

  • Fankhauser S (2013) Valuing climate change: the economics of the greenhouse. Routledge

  • Finus M, Van Ierland E, Dellink R (2006) Stability of climate coalitions in a cartel formation game. Econ Gov 7:271–291

    Article  Google Scholar 

  • Finus M, Saiz ME, Hendrix EMT (2009) An empirical test of new developments in coalition theory for the design of international environmental agreements. Environ Dev Econ 14:117–137

    Article  Google Scholar 

  • Hoel M (1992) International environment conventions: the case of uniform reductions of emissions. Environ Resour Econ 2:141–159

    Google Scholar 

  • Hoel M, Schneider K (1997) Incentives to participate in an international environmental agreement. Environ Resour Econ 9:153–170

    Google Scholar 

  • Höhne N, Kuramochi T, Warnecke C, Röser F, Fekete H, Hagemann M, Day T, Tewari R, Kurdziel M, Sterl S, Gonzales S (2017) The Paris Agreement: resolving the inconsistency between global goals and national contributions. Clim Pol 17:16–32. https://doi.org/10.1080/14693062.2016.1218320

    Article  Google Scholar 

  • Honjo K (2015) Cooperative emissions trading game: international permit market dominated by buyers. PLoS One 10:1–20. https://doi.org/10.1371/journal.pone.0132272

    Article  CAS  Google Scholar 

  • Howarth RB, Gerst MD, Borsuk ME (2014) Risk mitigation and the social cost of carbon. Glob Environ Chang 24:123–131. https://doi.org/10.1016/j.gloenvcha.2013.11.012

    Article  Google Scholar 

  • Kanie N, Nishimoto H, Hijioka Y, Kameyama Y (2010) Allocation and architecture in climate governance beyond Kyoto: lessons from interdisciplinary research on target setting. Int Environ Agreements Polit Law Econ 10:299–315. https://doi.org/10.1007/s10784-010-9143-5

    Article  Google Scholar 

  • Keohane N, Petsonk A, Hanafi A (2017) Toward a club of carbon markets. Clim Chang 144:81–95. https://doi.org/10.1007/s10584-015-1506-z

    Article  CAS  Google Scholar 

  • Kern R (1985) The Shapley transfer value without zero weights. Int J Game Theory 14:73–92. https://doi.org/10.1007/BF01769886

    Article  Google Scholar 

  • Kim Y (2004a) A game-theoretic analysis on negotiation mechanisms for climate change mitigation

  • Kim Y-G (2004b) A framework for global cooperation on climate change. Korea Environment Institute, Seoul

    Google Scholar 

  • Kossoy A, Ambrosi P (2010) State and trends of the carbon market 2010. World Bank, Washington, DC

    Google Scholar 

  • Kossoy A, Guigon P (2012) State and trends of the carbon market 2012. World Bank, Washington, DC

    Google Scholar 

  • Liou J-L, Wu P-I (2015) Equity criterion for initial rights CO2 emissions allocations under emissions trading: cooperation or conflict among nations? Environ Dev Econ 20:587–610

    Article  Google Scholar 

  • Luqman M, Peng S, Huang S, Bibi A, Ahmad N (2018) Cost allocation for the problem of pollution reduction. A dynamic cooperative game approach. Econ Res Istraživanja 31:1717–1736. https://doi.org/10.1080/1331677X.2018.1515642

    Article  Google Scholar 

  • Paris Agreement (2018) United Nations treaty collection. https://treaties.un.org/pages/ViewDetails.aspx?src=TREATY&mtdsg_no=XXVII-7-d&chapter=27&clang=_en. Accessed 20 Mar 2018

  • Petrosjan L, Zaccour G (2003) Time-consistent Shapley value allocation of pollution cost reduction. J Econ Dyn Control 27:381–398

    Article  Google Scholar 

  • Shapley LS (1953) In: Kuhn HW (ed) Contributions to the theory of games II (Annals of Mathematics Studies 28). Princeton University Press, Princeton, pp 307–317

    Google Scholar 

  • Siebert H (2008) Economics of the environment: theory and policy. Springer

  • Stavins R (2016) The Paris agreement and beyond: international climate change policy post-2020

  • Tietenberg TH, Lewis L (2009) Environmental and natural resource economics. Pearson Addison Wesley

  • Tol RSJ (1996) A decision-analytic treatise of the enhanced greenhouse effect. Vrije Universiteit

  • Tol RSJ (2005) The marginal damage costs of carbon dioxide emissions: an assessment of the uncertainties. Energy Policy 33:2064–2074. https://doi.org/10.1016/j.enpol.2004.04.002

    Article  Google Scholar 

  • Von Neumann J, Morgenstern O (1947) Theory of games and economic behavior

  • Wang L, Gao H, Petrosyan L, Qiao H, Sedakov A (2016) Strategically supported cooperation in dynamic games with coalition structures. Sci China Math 59:1015–1028

    Article  Google Scholar 

  • Weikard H-P, Finus M, Altamirano-Cabrera J-C (2006) The impact of surplus sharing on the stability of international climate agreements. Oxf Econ Pap 58:209–232

    Article  Google Scholar 

  • Winter E (1994) The demand commitment bargaining and snowballing cooperation. Economic Theory 4:255–273

    Article  Google Scholar 

  • Winter E (2002) The Shapley value. Elsevier

  • Wu P-I, Chen CT, Cheng P-C, Liou J-L (2014) Climate game analyses for CO2 emission trading among various world organizations. Econ Model 36:441–446

    Article  Google Scholar 

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Correspondence to Muhammad Luqman or Ugur Soytas.

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Luqman, M., Soytas, U., Peng, S. et al. Sharing the costs and benefits of climate change mitigation via Shapley value. Environ Sci Pollut Res 26, 33157–33168 (2019). https://doi.org/10.1007/s11356-019-06409-y

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