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Dichotomous multi-type games: Shapley-Shubik and Banzhaf-Coleman power indices

Author

Listed:
  • Sébastien Courtin

    (THEMA, Universite de Cergy-Pontoise)

  • Zephirin Nganmeni
  • Bertrand Tchantcho

Abstract

This work focuses on multi-type games in which there are a number of nonordered types in the input, while the output consists of a single real value. When considering the dichotomous case, we extend the Shapley-Shubik and Banzhaf-Coleman indices. We also provide a full characterization of both extensions. Our results generalize the literature on classical cooperative games.

Suggested Citation

  • Sébastien Courtin & Zephirin Nganmeni & Bertrand Tchantcho, 2015. "Dichotomous multi-type games: Shapley-Shubik and Banzhaf-Coleman power indices," THEMA Working Papers 2015-05, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2015-05
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    References listed on IDEAS

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    5. Annick Laruelle & Federico Valenciano, 2012. "Quaternary dichotomous voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 431-454, March.
    6. Dominique Lepelley & N. Andjiga & F. Chantreuil, 2003. "La mesure du pouvoir de vote," Post-Print halshs-00069255, HAL.
    7. Bolger, E M, 1986. "Power Indices for Multicandidate Voting Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 175-186.
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    More about this item

    Keywords

    Game theory; Multi-type games; Simple games; Shapley-Shubik index; Banzhaf-Coleman index;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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