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Climate Change and Game Theory: a Mathematical Survey

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  • Wood, Peter John

Abstract

This paper examines the problem of achieving global cooperation to reduce greenhouse gas emissions. Contributions to this problem are reviewed from noncooperative game theory, cooperative game theory, and implementation theory. We examine the solutions to games where players have a continuous choice about how much to pollute, and games where players make decisions about treaty participation. The implications of linking cooperation on climate change with cooperation on other issues, such as trade, is also examined. Cooperative and non-cooperative approaches to coalition formation are investigated in order to examine the behaviour of coalitions cooperating on climate change. One way to achieve cooperation is to design a game, known as a mechanism, whose equilibrium corresponds to an optimal outcome. This paper examines some mechanisms that are based on conditional commitments, and their policy implications. These mechanisms could make cooperation on climate change mitigation more likely.

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  • Wood, Peter John, 2010. "Climate Change and Game Theory: a Mathematical Survey," Working Papers 249379, Australian National University, Centre for Climate Economics & Policy.
  • Handle: RePEc:ags:ancewp:249379
    DOI: 10.22004/ag.econ.249379
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    as
    1. Ernst Fehr & Simon Gächter, 2000. "Fairness and Retaliation: The Economics of Reciprocity," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 159-181, Summer.
    2. Serrano, Roberto, 1997. "A comment on the Nash program and the theory of implementation," Economics Letters, Elsevier, vol. 55(2), pages 203-208, August.
    3. Jan Bråten & Rolf Golombek, 1998. "OPEC's Response to International Climate Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 12(4), pages 425-442, December.
    4. Aldy,Joseph E. & Stavins,Robert N. (ed.), 2007. "Architectures for Agreement," Cambridge Books, Cambridge University Press, number 9780521692175.
    5. Steven J. Brams & D. Marc Kilgour, 2009. "How Democracy Resolves Conflict in Difficult Games," Springer Series in Game Theory, in: Simon A. Levin (ed.), Games, Groups, and the Global Good, pages 229-241, Springer.
    6. Parkash Chander & Henry Tulkens, 2006. "The Core of an Economy with Multilateral Environmental Externalities," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 153-175, Springer.
    7. Juan-Pablo Montero, 2008. "A Simple Auction Mechanism for the Optimal Allocation of the Commons," American Economic Review, American Economic Association, vol. 98(1), pages 496-518, March.
    8. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    9. Gerber, Anke & Wichardt, Philipp C., 2009. "Providing public goods in the absence of strong institutions," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 429-439, April.
    10. Michael Finus & Alejandro Caparrós (ed.), 2015. "Game Theory and International Environmental Cooperation," Books, Edward Elgar Publishing, number 15345.
    11. Boadway, Robin & Song, Zhen & Tremblay, Jean-François, 2011. "The efficiency of voluntary pollution abatement when countries can commit," European Journal of Political Economy, Elsevier, vol. 27(2), pages 352-368, June.
    12. Garnaut,Ross, 2008. "The Garnaut Climate Change Review," Cambridge Books, Cambridge University Press, number 9780521744447.
    13. Batabyal, Amittrajeet A., 1996. "An agenda for the design and study of international environmental agreements," Ecological Economics, Elsevier, vol. 19(1), pages 3-9, October.
    14. Nick Hanley & Henk Folmer (ed.), 1998. "Game Theory and the Environment," Books, Edward Elgar Publishing, number 1083.
    15. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
    16. Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
    17. 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.
    18. Elinor Ostrom, 2014. "A Polycentric Approach For Coping With Climate Change," Annals of Economics and Finance, Society for AEF, vol. 15(1), pages 97-134, May.
    19. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    20. Barrett, Scott, 1997. "The strategy of trade sanctions in international environmental agreements," Resource and Energy Economics, Elsevier, vol. 19(4), pages 345-361, November.
    21. Efe A. Ok, 2007. "Preliminaries of Real Analysis, from Real Analysis with Economic Applications," Introductory Chapters, in: Real Analysis with Economic Applications, Princeton University Press.
    22. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
    23. Carlo Carraro & Carmen Marchiori & Sonia Oreffice, 2009. "Endogenous Minimum Participation in International Environmental Treaties," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 42(3), pages 411-425, March.
    24. Marks, Melanie & Croson, Rachel, 1998. "Alternative rebate rules in the provision of a threshold public good: An experimental investigation," Journal of Public Economics, Elsevier, vol. 67(2), pages 195-220, February.
    25. Geoffroy de Clippel & Roberto Serrano, 2008. "Bargaining, coalitions and externalities: A comment on Maskin," Working Papers 2008-11, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    26. Uzawa,Hirofumi, 2009. "Economic Theory and Global Warming," Cambridge Books, Cambridge University Press, number 9780521066594.
    27. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-894, Supplemen.
    28. Carlo Carraro (ed.), 2003. "The Endogenous Formation of Economic Coalitions," Books, Edward Elgar Publishing, number 2999.
    29. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    30. Giuseppe Attanasi & Aurora García Gallego & Nikolaos Georgantzís & Aldo Montesano, 2010. "Non-cooperative games with chained confirmed proposals," LERNA Working Papers 10.02.308, LERNA, University of Toulouse.
    31. Aghion, Philippe & Antras, Pol & Helpman, Elhanan, 2007. "Negotiating free trade," Journal of International Economics, Elsevier, vol. 73(1), pages 1-30, September.
    32. Frank Jotzo & Regina Betz, 2009. "Australia's emissions trading scheme: opportunities and obstacles for linking," Climate Policy, Taylor & Francis Journals, vol. 9(4), pages 402-414, July.
    33. Scott Barrett & Robert Stavins, 2003. "Increasing Participation and Compliance in International Climate Change Agreements," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 3(4), pages 349-376, December.
    34. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    35. Partha Dasgupta & Peter Hammond & Eric Maskin, 1980. "On Imperfect Information and Optimal Pollution Control," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(5), pages 857-860.
    36. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 259-276.
    37. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    38. Wood, Peter John & Jotzo, Frank, 2011. "Price floors for emissions trading," Energy Policy, Elsevier, vol. 39(3), pages 1746-1753, March.
    39. Aldy,Joseph E. & Stavins,Robert N. (ed.), 2007. "Architectures for Agreement," Cambridge Books, Cambridge University Press, number 9780521871631.
    40. Lessmann, Kai & Marschinski, Robert & Edenhofer, Ottmar, 2009. "The effects of tariffs on coalition formation in a dynamic global warming game," Economic Modelling, Elsevier, vol. 26(3), pages 641-649, May.
    41. Brennan, Geoffrey, 2009. "Climate change: A rational choice politics view," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 53(3), pages 1-18.
    42. Martin L. Weitzman, 2009. "On Modeling and Interpreting the Economics of Catastrophic Climate Change," The Review of Economics and Statistics, MIT Press, vol. 91(1), pages 1-19, February.
    43. Finus, Michael, 2008. "Game Theoretic Research on the Design of International Environmental Agreements: Insights, Critical Remarks, and Future Challenges," International Review of Environmental and Resource Economics, now publishers, vol. 2(1), pages 29-67, June.
    44. Akira Okada & Eyal Winter, 2002. "A Non-cooperative Axiomatization of the Core," Theory and Decision, Springer, vol. 53(1), pages 1-28, August.
    45. TULKENS, Henry, 1998. "Cooperation versus free-riding in international environmental affairs: two approaches," LIDAM Reprints CORE 1339, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    46. Mark Bagnoli & Barton L. Lipman, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 583-601.
    47. Yi, Sang-Seung & Shin, Hyukseung, 2000. "Endogenous formation of research coalitions with spillovers," International Journal of Industrial Organization, Elsevier, vol. 18(2), pages 229-256, February.
    48. Carlo Carraro & Barbara Buchner, 2006. "Parallel Climate Blocs. Incentives to cooperation in international climate negotiations," Working Papers 2006_45, Department of Economics, University of Venice "Ca' Foscari".
    49. Hoel Michael, 1994. "Efficient Climate Policy in the Presence of Free Riders," Journal of Environmental Economics and Management, Elsevier, vol. 27(3), pages 259-274, November.
    50. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    51. Geoffroy de Clippel & Roberto Serrano, 2008. "Bargaining, Coalitions and Externalities: a Comment on Maskin," Working Papers 2008-16, Brown University, Department of Economics.
    52. Michael Finus & Bianca Rundshagen, 2003. "Endogenous coalition formation in global pollution control: a partition function approach," Chapters, in: Carlo Carraro (ed.), The Endogenous Formation of Economic Coalitions, chapter 6, Edward Elgar Publishing.
    53. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    54. -, 2009. "The economics of climate change," Sede Subregional de la CEPAL para el Caribe (Estudios e Investigaciones) 38679, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    55. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
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    Cited by:

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    3. Jing Wu & Jean-Claude Thill, 2018. "Climate change coalition formation and equilibrium strategies in mitigation games in the post-Kyoto Era," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 18(4), pages 573-598, August.
    4. Bašič, Aleksandra Murks & Kamal, Salahuddin M. & Almazroui, Mansour & Al-Marzouki, Fahad M., 2015. "A mathematical model for the climate change: Can unpredictability offset the temptations to pollute?," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 187-195.
    5. Alessio Carrozzo Magli & Pompeo Della Posta & Piero Manfredi, 2021. "The Tragedy of the Commons as a Prisoner’s Dilemma. Its Relevance for Sustainability Games," Sustainability, MDPI, vol. 13(15), pages 1-10, July.

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