2026-06-28T10:09:21Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/922032025-07-08T08:28:54Zcom_20.500.14352_14col_20.500.14352_15

Communication in Weighted Networks: A Game Theoretic Approach Manuel García, Conrado Miguel Martín García, Daniel Gavilán García, Elena del Carmen 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. 2024-01-10T10:49:57Z 2024-01-10T10:49:57Z 2023 journal article Gavilán, E.C., Manuel, C. y Martín, D. (2023) «Communication in Weighted Networks: A Game Theoretic Approach», Axioms, 12(2). doi:10.3390/AXIOMS12020180. 10.3390/AXIOMS12020180 https://hdl.handle.net/20.500.14352/92203 https//doi.org/10.3390/AXIOMS12020180 https://www.mdpi.com/2075-1680/12/2/180 eng info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116884GB-I00/ES/MODELOS DE ATRIBUCION JUEGO-TEORICOS Y APLICACIONES: REDES SOCIALES, MARKETING Y MACHINE LEARNING/ http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 International MDPI