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

Autor: Zéphirin Nganmeni, Bertrand Tchantcho, Sébastien Courtin
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