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On the existence of a cooperative solution for a coalitional game with externalities

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  • Helm, Carsten

Abstract

This paper analyzes a game in coalitional form that is derived from a simple economy with multilateral externalities. Following Chander and Tulkens (1997) we assume that agents react to a blocking coalition by choosing individual best reply strategies. A non-empty core of this game is established by showing that the game is balanced. The proof relies only on standard convexity assumptions and, therefore, substantially generalizes the results in Chander and Tulkens (1997).
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  • Helm, Carsten, 2001. "On the existence of a cooperative solution for a coalitional game with externalities," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 33633, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    • Handle: RePEc:dar:wpaper:33633
    Note: for complete metadata visit http://tubiblio.ulb.tu-darmstadt.de/33633/
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    Cited by:

    1. Doda, Baran & Quemin, Simon & Taschini, Luca, 2019. "Linking permit markets multilaterally," Journal of Environmental Economics and Management, Elsevier, vol. 98(C).
    2. Fuentes-Albero, Cristina & Rubio, Santiago J., 2010. "Can international environmental cooperation be bought?," European Journal of Operational Research, Elsevier, vol. 202(1), pages 255-264, April.
    3. Giorgos Stamatopoulos, 2020. "On the $$\gamma $$γ-core of asymmetric aggregative games," Theory and Decision, Springer, vol. 88(4), pages 493-504, May.
    4. Chander Parkash, 2019. "The core of a strategic game," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-10, January.
    5. Reddy, Puduru V. & Zaccour, Georges, 2016. "A friendly computable characteristic function," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 18-25.
    6. Parkash Chander, 2007. "The gamma-core and coalition formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 539-556, April.
    7. A. Caparrós & J.-C. Péreau & T. Tazdaït, 2004. "North-South Climate Change Negotiations: A Sequential Game with Asymmetric Information," Public Choice, Springer, vol. 121(3), pages 455-480, February.
    8. Thoron, Sylvie, 2004. "Which acceptable agreements are equilibria?," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 111-134, January.
    9. Jeongmeen Suh & Myeonghwan Cho, 2017. "Roles of Flexible Mechanisms in International Environmental Agreements," Korean Economic Review, Korean Economic Association, vol. 33, pages 239-265.
    10. Jan Kersting & Vicki Duscha & Matthias Weitzel, 2017. "Cooperation on Climate Change under Economic Linkages: How the Inclusion of Macroeconomic Effects Affects Stability of a Global Climate Coalition," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4).
    11. Alejandro Caparrós, 2016. "Bargaining and International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(1), pages 5-31, September.
    12. Aymeric Lardon, 2012. "The γ-core in Cournot oligopoly TU-games with capacity constraints," Theory and Decision, Springer, vol. 72(3), pages 387-411, March.
    13. Baran Doda, Simon Quemin, Luca Taschini, 2017. "A theory of gains from trade in multilaterally linked ETSs," GRI Working Papers 275, Grantham Research Institute on Climate Change and the Environment.
    14. Calvo, Emilio & Rubio, Santiago J., 2013. "Dynamic Models of International Environmental Agreements: A Differential Game Approach," International Review of Environmental and Resource Economics, now publishers, vol. 6(4), pages 289-339, April.
    15. Beard, Rodney & Mallawaarachchi, Thilak, 2011. "Are international environmental agreements stable ex-post?," MPRA Paper 34303, University Library of Munich, Germany.
    16. Giorgos Stamatopoulos, 2021. "On the core of economies with multilateral environmental externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(1), pages 158-171, February.
    17. Marco Rogna, 2016. "Cooperative Game Theory Applied To Ieas: A Comparison Of Solution Concepts," Journal of Economic Surveys, Wiley Blackwell, vol. 30(3), pages 649-678, July.
    18. Michael Finus & Matthew McGinty, 2015. "The Anti-Paradox of Cooperation: Diversity Pays!," Department of Economics Working Papers 40/15, University of Bath, Department of Economics.
    19. Tiziana Ciano & Massimiliano Ferrara & Mariangela Gangemi & Domenica Stefania Merenda & Bruno Antonio Pansera, 2021. "Climate Change Sustainability: From Bargaining to Cooperative Balanced Approach," Games, MDPI, vol. 12(2), pages 1-13, May.
    20. Stamatopoulos, Giorgos, 2018. "On the gamma-core of asymmetric aggregative games," MPRA Paper 88722, University Library of Munich, Germany.
    21. Parkash Chander, 2020. "Stability of the merger-to-monopoly and a core concept for partition function games," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 953-973, December.
    22. Paraskevas Lekeas & Giorgos Stamatopoulos, 2016. "Cooperative Games with Externalities and Probabilistic Coalitional Beliefs," Working Papers 1605, University of Crete, Department of Economics.
    23. Thijssen, J.J.J., 2003. "Investment under uncertainty, market evolution and coalition spillovers in a game theoretic perspective," Other publications TiSEM 672073a6-492e-4621-8d4a-0, Tilburg University, School of Economics and Management.
    24. Flåm, Sjur Didrik, 2002. "Balanced Environmental Games," Working Papers in Economics 17/02, University of Bergen, Department of Economics.
    25. Tulkens, Henry, 2014. "Internal vs. core coalitional stability in the environmental externality game: A reconciliation," LIDAM Discussion Papers CORE 2014058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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