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Some structural properties of a lattice of embedded coalitions

Author

Listed:
  • José María Alonso-Meijide

    (Universidade de Santiago de Compostela)

  • Mikel Alvarez-Mozos

    (Universitat de Barcelona)

  • María Gloria Fiestras-Janeiro

    (Universidade de Vigo)

  • Andrés Jiménez-Losada

    (Universitad de Sevilla)

Abstract

In this paper we investigate some structural properties of the order on the set of embedded coalitions outlined in de Clippel and Serrano (2008). Besides, we characterize the scalars associated to the basis they proposed of the vector space of partition function form games.

Suggested Citation

  • José María Alonso-Meijide & Mikel Alvarez-Mozos & María Gloria Fiestras-Janeiro & Andrés Jiménez-Losada, 2016. "Some structural properties of a lattice of embedded coalitions," UB School of Economics Working Papers 2016/349, University of Barcelona School of Economics.
    • Handle: RePEc:ewp:wpaper:349web
    as

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    References listed on IDEAS

    as
    1. Kim Hang Pham Do & Henk Norde, 2007. "The Shapley Value For Partition Function Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 353-360.
    2. Geoffroy de Clippel & Roberto Serrano, 2005. "Marginal Contributions and Externalities in the Value," Working Papers 2005-11, Brown University, Department of Economics.
    3. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
    4. Dutta, Bhaskar & Ehlers, Lars & Kar, Anirban, 2010. "Externalities, potential, value and consistency," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2380-2411, November.
    5. Michel Grabisch, 2010. "The lattice of embedded subsets," Post-Print hal-00457827, HAL.
    6. M. J. Albizuri & J. Arin & J. Rubio, 2005. "An Axiom System For A Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 63-72.
    7. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    embedded coalitions; lattice; partition function form games.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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