The Owen and Banzhaf-Owen values revisited

In this work, we consider games with coalitional structure. We afford two new parallel axiomatic characterizations for the well-known Owen and Banzhaf–Owen coalitional values. Two properties are common to both characterizations: a property of balanced contributions and a property of neutrality. The...

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Detalles Bibliográficos
Autores: Alonso Meijide, José María, Casas Méndez, Balbina, González Rueda, Ángel Manuel, Lorenzo Freire, Silvia
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/38705
Acceso en línea:https://hdl.handle.net/10347/38705
Access Level:acceso abierto
Palabra clave:Cooperative game
Shapley value
Banzhaf value
Coalition structure
Coalitional value
Balanced contributions
Descripción
Sumario:In this work, we consider games with coalitional structure. We afford two new parallel axiomatic characterizations for the well-known Owen and Banzhaf–Owen coalitional values. Two properties are common to both characterizations: a property of balanced contributions and a property of neutrality. The results prove that the main difference between these two coalitional values is that the former is efficient, while the latter verifies a property of 2-efficiency.