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Power Indices of Influence Games and New Centrality Measures for Agent Societies and Social Networks

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Ambient Intelligence - Software and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 291))

Abstract

We propose as centrality measures for social networks two classical power indices, Banzhaf and Shapley-Shubik, and two new measures, effort and satisfaction, related to the spread of influence process that emerge from the subjacent influence game. We perform a comparison of these measures with three well known centrality measures, degree, closeness and betweenness, applied to three simple social networks.

This work was partially supported by 2009SGR1137 (ALBCOM). X. Molinero, F. Riquelme and M. Serna are also partially funded by grants MTM 2012-34426, BecasChile (CONICYT), and TIN2007–66523 (FORMALISM), respectively.

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Molinero, X., Riquelme, F., Serna, M. (2014). Power Indices of Influence Games and New Centrality Measures for Agent Societies and Social Networks. In: Ramos, C., Novais, P., Nihan, C., Corchado Rodríguez, J. (eds) Ambient Intelligence - Software and Applications. Advances in Intelligent Systems and Computing, vol 291. Springer, Cham. https://doi.org/10.1007/978-3-319-07596-9_3

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  • DOI: https://doi.org/10.1007/978-3-319-07596-9_3

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07595-2

  • Online ISBN: 978-3-319-07596-9

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