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Self-Enforcing Climate Change Treaties: A Generalized Differential Game Approach with Applications

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  • Pedro, de Mendonça

Abstract

Based on recent proposals on non cooperative dynamic games for analysing climate negotiation outcomes, such as Dutta and Radner (2004, 2006a), we generalize a specific framework for modelling differential games of this type and describe the set of conditions for the existence of closed loop dynamics and its relation to adaptive evolutionary dynamics. We then show that the Dutta and Radner (2004, 2006a) discrete time dynamic setup is a specific case of that generalization and describe the dynamics both analytically and numerically for closed loop feedback and perfect state patterns. Our discussion is completed with the introduction of a cooperative differential framework for welfare analysis purposes, within our non cooperative proposal for climate negotiations.

Suggested Citation

  • Pedro, de Mendonça, 2009. "Self-Enforcing Climate Change Treaties: A Generalized Differential Game Approach with Applications," MPRA Paper 17889, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:17889
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    File URL: https://mpra.ub.uni-muenchen.de/17889/1/MPRA_paper_17889.pdf
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    References listed on IDEAS

    as
    1. Christiane Clemens & Thomas Riechmann, 2006. "Evolutionary Dynamics in Public Good Games," Computational Economics, Springer;Society for Computational Economics, vol. 28(4), pages 399-420, November.
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    3. Antoci, Angelo & Gay, Antonio & Landi, Massimiliano & Sacco, Pier Luigi, 2008. "Global analysis of an expectations augmented evolutionary dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3877-3894, December.
    4. GERMAIN, Marc & VAN STEENBERGHE, Vincent, 2001. "Constraining equitable allocations of tradable greenhouse gases emission quotas by acceptability," CORE Discussion Papers 2001005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A. & Mäler, K.-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1312-1331, April.
    6. Albert Faber & Koen Frenken, 2008. "Models in evolutionary economics and environmental policy: Towards an evolutionary environmental economics," Innovation Studies Utrecht (ISU) working paper series 08-15, Utrecht University, Department of Innovation Studies, revised Apr 2008.
    7. Christophe Deissenberg & Herbert Dawid & Pavel Sevcik, 2004. "Cheap Talk, Gullibility, and Welfare in an Environmental Taxation Game," Working Papers 2004.137, Fondazione Eni Enrico Mattei.
    8. Christophe Deissenberg & Herbert Dawid & Pavel Å evÄ?ík, 2006. "Gullibility and Welfare in an Environmental Taxation Game," Computing in Economics and Finance 2006 505, Society for Computational Economics.
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    More about this item

    Keywords

    Differential Game Theory; Environmental Economics; Evolutionary Dynamics; Climate Change Treaties;

    JEL classification:

    • Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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