Influence Indices

Agnieszka Rusinowska and Michel Grabisch

No 705, Working Papers from Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon

Abstract: In the paper, we investigate the Hoede-Bakker index - the notion which computes the overall decisional ‘power’ of a player in a social network. It is assumed that each player has an inclination (original decision) to say ‘yes’ or ‘no’ which, due to influence of other players, may be different from the final decision of the player. The main drawback of the Hoede-Bakker index is that it hides the actual role of the influence function, analyzing only the final decision in terms of success and failure. In this paper, we further investigate the Hoede-Bakker index, proposing an improvement which fully takes into account the mutual influence among players. A global index which distinguishes an influence degree from a ‘power’ index is analyzed. We define weighted influence indices, in particular, a possibility influence index which takes into account any possibility of influence, and a certainty influence index which expresses certainty of influence. We consider different influence functions and study their properties.

Keywords: Hoede-Bakker index; influence function; influence indices (search for similar items in EconPapers)
JEL-codes: C7 D7 (search for similar items in EconPapers)
Pages: 33 pages
Date: 2007-03
New Economics Papers: this item is included in nep-gth and nep-pol
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Related works:
Working Paper: Influence Indices (2007)
Working Paper: Influence Indices (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:gat:wpaper:0705

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