On the externality free shapley-shubik index

We address the problem of extending the Shapley-Shubik index to the class of simple games with externalities introduced in Alonso-Meijide et al. (2017). On the one hand, we provide bounds for any efficient, symmetric, and monotonic power index. On the other hand, we characterize the restriction of t...

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Detalhes bibliográficos
Autores: Álvarez-Mozos, Mikel, Alonso-Meijide, José Mª, Fiestras-Janeiro, M. Gloria, 1962-
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2017
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/115651
Acesso em linha:https://hdl.handle.net/2445/115651
Access Level:Acceso aberto
Palavra-chave:Teoria de jocs
Economia matemàtica
Jocs cooperatius (Matemàtica)
Game theory
Mathematical economics
Cooperative games (Mathematics)
Descrição
Resumo:We address the problem of extending the Shapley-Shubik index to the class of simple games with externalities introduced in Alonso-Meijide et al. (2017). On the one hand, we provide bounds for any efficient, symmetric, and monotonic power index. On the other hand, we characterize the restriction of the externality-free value of de Clippel and Serrano (2008) to the class of games under study by adapting well-known properties.