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Dichotomous multi-type games with a coalition structure

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  • Courtin, Sébastien
  • Nganmeni, Zéphirin
  • Tchantcho, Bertrand

Abstract

This work focuses on the evaluation of voting power in dichotomous multi-type games endowed with a coalition structure. Dichotomous multi-type games, introduced by Courtin et al. (2016), model games in which there is a number of non-ordered types of support in the input, while the output is dichotomous, i.e. the proposal is either accepted or rejected. In a game with a coalition structure, it is supposed that players organize themselves into disjoint coalitions which are defined a priori. We extend the well-known Owen index and Banzhaf–Owen index to this class of games. A full characterization of these power indices is provided.

Suggested Citation

  • Courtin, Sébastien & Nganmeni, Zéphirin & Tchantcho, Bertrand, 2017. "Dichotomous multi-type games with a coalition structure," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 9-17.
    • Handle: RePEc:eee:matsoc:v:86:y:2017:i:c:p:9-17
    DOI: 10.1016/j.mathsocsci.2016.12.003
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    References listed on IDEAS

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    1. Sébastien Courtin & Bertrand Tchantcho, 2015. "A note on the ordinal equivalence of power indices in games with coalition structure," Theory and Decision, Springer, vol. 78(4), pages 617-628, April.
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    3. Sébastien Courtin & Zéphirin Nganmeni & Bertrand Tchantcho, 2016. "The Shapley–Shubik power index for dichotomous multi-type games," Theory and Decision, Springer, vol. 81(3), pages 413-426, September.
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    2. Sebastien Courtin & Bertrand Tchantcho, 2019. "Public Good Indices for Games with Several Levels of Approval," Post-Print halshs-02319527, HAL.

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