The Shapley-Shubik power index for dichotomous multi-type games
Autor: | Zéphirin Nganmeni, Bertrand Tchantcho, Sébastien Courtin |
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Přispěvatelé: | Centre de recherche en économie et management (CREM), Centre National de la Recherche Scientifique (CNRS)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU), Théorie économique, modélisation et applications (THEMA), Université de Cergy Pontoise (UCP), Université Paris-Seine-Université Paris-Seine-Centre National de la Recherche Scientifique (CNRS), Ecole Nationale Supérieure Polytechnique de Yaoundé (ENSPY), Université de Yaoundé I, Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU)-Université de Rennes (UR)-Centre National de la Recherche Scientifique (CNRS) |
Jazyk: | angličtina |
Rok vydání: | 2016 |
Předmět: |
Computer Science::Computer Science and Game Theory
JEL: C - Mathematical and Quantitative Methods/C.C7 - Game Theory and Bargaining Theory/C.C7.C71 - Cooperative Games General Decision Sciences Simple games Type (model theory) Characterization (mathematics) Arts and Humanities (miscellaneous) Power index 0502 economics and business Developmental and Educational Psychology 050207 economics Shapley-Shubik index [MATH]Mathematics [math] Applied Psychology Game theory Mathematics Shapley–Shubik power index 05 social sciences General Social Sciences Extension (predicate logic) JEL: D - Microeconomics/D.D7 - Analysis of Collective Decision-Making/D.D7.D71 - Social Choice • Clubs • Committees • Associations [SHS.ECO]Humanities and Social Sciences/Economics and Finance Computer Science Applications Multi-type games 050206 economic theory General Economics Econometrics and Finance Value (mathematics) Mathematical economics |
Zdroj: | Theory and Decision Theory and Decision, Springer Verlag, 2016, 81 (3), pp.413-426. ⟨10.1007/s11238-016-9541-4⟩ Theory and Decision, 2016, 81 (3), pp.413-426. ⟨10.1007/s11238-016-9541-4⟩ |
ISSN: | 0040-5833 1573-7187 |
DOI: | 10.1007/s11238-016-9541-4⟩ |
Popis: | International audience; 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. |
Databáze: | OpenAIRE |
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