Communication in Weighted Networks: A Game Theoretic Approach

In this paper we generalize the allocation rule (point solution or value) known as the mixed value by introducing the weighted mixed value.The proposed solution assigns value in graph games where players, and/or links, have weights representing asymmetries of the players, and different flows, length...

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Detalles Bibliográficos
Autores: Manuel García, Conrado Miguel, Martín García, Daniel, Gavilán García, Elena del Carmen
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/92203
Acceso en línea:https://hdl.handle.net/20.500.14352/92203
Access Level:acceso abierto
Palabra clave:519.813
Game theory
TU-game
Communication situation
Myerson value
Position value
Mixed value
Teoría de Juegos
1207.06 Teoría de Juegos
Descripción
Sumario:In this paper we generalize the allocation rule (point solution or value) known as the mixed value by introducing the weighted mixed value.The proposed solution assigns value in graph games where players, and/or links, have weights representing asymmetries of the players, and different flows, lengths, emotional intensities, trust in the transmission of the information, etc. in the links. We present several characterizations of this value using properties, such as mixed component efficiency, weighted mixed fairness, weighted balanced contributions and weighted balanced link contributions. These properties were inspired by the classical properties used to characterize the Myerson value and the position value.