Dichotomous multi-type games with a coalition structure

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 wich are defined a priori. We extend the well-known Owen index (Owen [1977]) and Banzhaf-Owen index (Owen [1981]) to this class of games. A full characterization of these power indices is provided.
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Mathematical Social Sciences, Elsevier, 2017, 86, pp.9-17. 〈10.1016/j.mathsocsci.2016.12.003〉
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Sébastien Courtin, Zéphirin Nganmeni, Bertrand Tchantcho. Dichotomous multi-type games with a coalition structure. Mathematical Social Sciences, Elsevier, 2017, 86, pp.9-17. 〈10.1016/j.mathsocsci.2016.12.003〉. 〈halshs-01545772〉

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