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

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Author Info

  • René van den Brink

    ()
    (Department of Econometrics and Tinbergen Institute - VU University)

  • Agnieszka Rusinowska

    ()
    (Centre d'Economie de la Sorbonne)

  • Frank Steffen

    ()
    (University of Liverpool Management School (ULMS))

Abstract

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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Bibliographic Info

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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Keywords: Collective choice; follower; opinion leader; power; satisfaction; axiomatization.;

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References

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  1. 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.
  2. Dan S. Felsenthal & Moshé Machover, 2002. "Models and Reality: the Curios Case of the Absent Abstention," Homo Oeconomicus, Institute of SocioEconomics, vol. 19, pages 297-310.
  3. René van den Brink & Frank Steffen, 2007. "Positional Power in Hierarchies," Tinbergen Institute Discussion Papers 07-038/1, Tinbergen Institute.
  4. Tchantcho, Bertrand & Lambo, Lawrence Diffo & Pongou, Roland & Engoulou, Bertrand Mbama, 2008. "Voters' power in voting games with abstention: Influence relation and ordinal equivalence of power theories," Games and Economic Behavior, Elsevier, vol. 64(1), pages 335-350, September.
  5. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence with an ordered set of possible actions," Theory and Decision, Springer, vol. 69(4), pages 635-656, October.
  6. René Van Den Brink & Agnieszka Rusinowska & Frank Steffen, 2013. "Measuring Power and Satisfaction in Societies with Opinion Leaders," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00756720, HAL.
  7. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
  8. anonymous, 1996. "The power to make a difference," Banking and Community Perspectives, Federal Reserve Bank of Dallas, issue Apr, pages 6 & 8.
  9. Annick Laruelle & Federico Valenciano, 2005. "Assessing success and decisiveness in voting situations," Social Choice and Welfare, Springer, vol. 24(1), pages 171-197, January.
  10. Granovetter, Mark & Soong, Roland, 1986. "Threshold models of interpersonal effects in consumer demand," Journal of Economic Behavior & Organization, Elsevier, vol. 7(1), pages 83-99, March.
  11. Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer, vol. 23(3), pages 261-81.
  12. MoshÊ Machover & Dan S. Felsenthal, 1997. "Ternary Voting Games," International Journal of Game Theory, Springer, vol. 26(3), pages 335-351.
  13. 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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Cited by:
  1. Maurice Koster & Sascha Kurz & Ines Lindner & Stefan Napel, 2013. "The Prediction Value," Tinbergen Institute Discussion Papers 13-188/II, Tinbergen Institute.

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