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New Approaches in Coalition Stability


  • Marta Biancardi


  • Francesco Ciardiello



In this paper we propose the state of art in the theory of coalitional games in effectiveness form without bargaining between coalitions. We study some solution concepts: The largest consistent set (Chwe, 1994); the largest cautious consistent set (Mauleon et al., 2004); the credible consistent set (Bhattacharya, 2002); standard stable behaviors (Xue, 1998). A series of examples, showing main features and differences between these solutions, are presented in order to outline some drawbacks and positive aspects in the philosophical framework of stability concepts.

Suggested Citation

  • Marta Biancardi & Francesco Ciardiello, 2009. "New Approaches in Coalition Stability," Quaderni DSEMS 11-2009, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
  • Handle: RePEc:ufg:qdsems:11-2009

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    References listed on IDEAS

    1. Effrosyni Diamantoudi & Eftichios S. Sartzetakis, 2006. "Stable International Environmental Agreements: An Analytical Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(2), pages 247-263, May.
    2. Carlo Carraro & Johan Eyckmans & Michael Finus, 2006. "Optimal transfers and participation decisions in international environmental agreements," The Review of International Organizations, Springer, vol. 1(4), pages 379-396, December.
    3. Henry Tulkens & Parkash Chander, 1997. "The Core of an Economy with Multilateral Environmental Externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 379-401.
    4. de Zeeuw, Aart, 2008. "Dynamic effects on the stability of international environmental agreements," Journal of Environmental Economics and Management, Elsevier, vol. 55(2), pages 163-174, March.
    5. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-894, Supplemen.
    6. Parkash Chander & Henry Tulkens, 1995. "A core-theoretic solution for the design of cooperative agreements on transfrontier pollution," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 2(2), pages 279-293, August.
    7. Santiago J. Rubio & Alistair Ulph, 2006. "Self-enforcing international environmental agreements revisited," Oxford Economic Papers, Oxford University Press, vol. 58(2), pages 233-263, April.
    8. Chander, Parkash & Tulkens, Henry, 1992. "Theoretical foundations of negotiations and cost sharing in transfrontier pollution problems," European Economic Review, Elsevier, vol. 36(2-3), pages 388-399, April.
    9. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
    10. 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.
    11. 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.
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    More about this item


    coalitonal games; stable sets; farsightedness.;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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