The Shapley-Shubik power index for dichotomous multi-type games

Sébastien Courtin (1) , Zéphirin Nganmeni (2) , Bertrand Tchantcho (3)

1 CREM - Centre de recherche en économie et management
2 THEMA - Théorie économique, modélisation et applications
3 ENSPY - Ecole Nationale Supérieure Polytechnique de Yaoundé

This work focuses on multi-type games in which there are a number of non-ordered types in the input, while the output consists of a single real value. When considering the dichotomous case, we extend the Shapley-Shubik power index and provide a full characterization of this extension. Our results generalize the literature on classical cooperative games.

Mots clés: Game theory; Multi-type games; Simple games; Shapley-Shubik index

Domaines: Economies et finances; Mathématiques [math]

Sébastien Courtin, Zéphirin Nganmeni, Bertrand Tchantcho. The Shapley-Shubik power index for dichotomous multi-type games. Theory and Decision, 2016, 81 (3), pp.413-426. ⟨10.1007/s11238-016-9541-4⟩. ⟨halshs-01545769⟩