%0 Journal Article %1 springerlink:10.1007/s11238-008-9109-z %A Grabisch, Michel %A Rusinowska, Agnieszka %D 2010 %I Springer Netherlands %J Theory and Decision %K 2011 decision fca icfca influcence network review social source %P 69-96 %R 10.1007/s11238-008-9109-z %T A model of influence in a social network %U http://dx.doi.org/10.1007/s11238-008-9109-z %V 69 %X In this paper, we study a model of influence in a social network. It is assumed that each player has an inclination to say YES or NO which, due to influence of other players, may be different from the decision of the player. The point of departure here is the concept of the Hoede–Bakker index—the notion which computes the overall decisional ‘power’ of a player in a social network. 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 separate the influence part from the group decision part, and focus on the description and analysis of the influence part. We propose among other descriptive tools a definition of a (weighted) influence index of a coalition upon an individual. Moreover, we consider different influence functions representative of commonly encountered situations. Finally, we propose a suitable definition of a modified decisional power.

@article{springerlink:10.1007/s11238-008-9109-z, abstract = {In this paper, we study a model of influence in a social network. It is assumed that each player has an inclination to say YES or NO which, due to influence of other players, may be different from the decision of the player. The point of departure here is the concept of the Hoede–Bakker index—the notion which computes the overall decisional ‘power’ of a player in a social network. 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 separate the influence part from the group decision part, and focus on the description and analysis of the influence part. We propose among other descriptive tools a definition of a (weighted) influence index of a coalition upon an individual. Moreover, we consider different influence functions representative of commonly encountered situations. Finally, we propose a suitable definition of a modified decisional power.}, added-at = {2011-01-17T20:25:56.000+0100}, affiliation = {Université Paris I Panthéon-Sorbonne Centre d’Economie de la Sorbonne 106-112 Bd de l’Hôpital 75013 Paris France}, author = {Grabisch, Michel and Rusinowska, Agnieszka}, biburl = {https://www.bibsonomy.org/bibtex/237444465dc4376fd111296cc8c9ba1de/sdo}, description = {SpringerLink - Theory and Decision, Volume 69, Number 1}, doi = {10.1007/s11238-008-9109-z}, interhash = {e905db2be4b4d2e792719e9b8f445951}, intrahash = {37444465dc4376fd111296cc8c9ba1de}, issn = {0040-5833}, issue = {1}, journal = {Theory and Decision}, keyword = {Business and Economics}, keywords = {2011 decision fca icfca influcence network review social source}, pages = {69-96}, publisher = {Springer Netherlands}, timestamp = {2011-01-17T20:25:56.000+0100}, title = {A model of influence in a social network}, url = {http://dx.doi.org/10.1007/s11238-008-9109-z}, volume = 69, year = 2010 }