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Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization

A well-known model in sociology and marketing is that of opinion leadership. Opinion leaders are actors who are able to affect the behavior of their followers. Hence, opinion leaders have some power over their followers, and they can exercise this power by influencing their followers choice of action. We study a two-action model for a society with opinion leaders. We assume that each member of the society has an inclination to choose one of these actions and that the collective choice is made by simple majority of the actions chosen by each member. For this model, we axiomatize satisfaction and power scores, which allow us to investigate the effects of different opinion leader-follower structures.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2011/11018.pdf
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Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 11018.

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Length: 28 pages
Date of creation: Mar 2011
Date of revision:
Handle: RePEc:mse:cesdoc:11018
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  1. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
  2. René Van Den Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring Power and Satisfaction in Societies with Opinion Leaders," PSE - Labex "OSE-Ouvrir la Science Economique" hal-00756720, HAL.
  3. Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer, vol. 23(3), pages 261-81.
  4. anonymous, 1996. "The power to make a difference," Banking and Community Perspectives, Federal Reserve Bank of Dallas, issue Apr, pages 6 & 8.
  5. René Brink, 2010. "Axiomatizations of Banzhaf permission values for games with a permission structure," International Journal of Game Theory, Springer, vol. 39(3), pages 445-466, July.
  6. repec:hal:cesptp:hal-00756720 is not listed on IDEAS
  7. Ren� van den Brink & Frank Steffen, 2012. "On the Measurement of Success and Satisfaction," Tinbergen Institute Discussion Papers 12-030/1, Tinbergen Institute.
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