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A Non-cooperative Foundation of Core-Stability in Positive Externality NTU-Coalition Games

Author

Listed:
  • Michael Finus

    (Department of Economics, University of Hagen)

  • Bianca Rundshagen

    (Department of Economics, University of Hagen)

Abstract

We identify the core as an appealing stability concept of cooperative game theory, but argue that the non-cooperative approach has conceptual advantages in the context of economic problems with externalities. Therefore, we derive a non-cooperative foundation of core-stability for positive externality NTU-games. First, in the spirit of Hart/Kurz (1983), we develop a game that we call ?-game and show that strong Nash equilibria coalition structures in this game are identical to ?- and ?-core stable coalition structures. Second, as a by-product of the definition of the ?-game, we develop an extension called an ?-game. Finally, we compare equilibria in the ?- and ?-game with those in the ?- and ?-game of Hart and Kurz (1983).

Suggested Citation

  • Michael Finus & Bianca Rundshagen, 2003. "A Non-cooperative Foundation of Core-Stability in Positive Externality NTU-Coalition Games," Working Papers 2003.31, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2003.31
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    Cited by:

    1. Johan Eyckmans & Michael Finus, 2006. "New roads to international environmental agreements: the case of global warming," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 7(4), pages 391-414, December.
    2. Porchiung Chou & Cheickna Sylla, 2008. "The formation of an international environmental agreement as a two-stage exclusive cartel formation game with transferable utilities," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 8(4), pages 317-341, December.
    3. Michael Finus & Bianca Rundshagen, 2003. "How the Rules of Coalition Formation Affect Stability of International Environmental Agreements," Working Papers 2003.62, Fondazione Eni Enrico Mattei.

    More about this item

    Keywords

    Core-stability; non-cooperative game theory; positive externality games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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