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

Sébastien Courtin, Zephirin Nganmeni and Bertrand Tchantcho

No 2015-05, THEMA Working Papers from THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise

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.

Keywords: Game theory; Multi-type games; Simple games; Shapley-Shubik index; Banzhaf-Coleman index (search for similar items in EconPapers)
JEL-codes: C71 D71 (search for similar items in EconPapers)
Date: 2015
New Economics Papers: this item is included in nep-gth and nep-ore
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Persistent link: https://EconPapers.repec.org/RePEc:ema:worpap:2015-05

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