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On some properties of the Hoede-Bakker index

Author

Listed:
  • Harrie de Swart

    (Faculteit Wijsbegeerte-Logica en taalanalyse - Tilburg University [Netherlands])

  • Agnieszka Rusinowska

    (GATE - Groupe d'analyse et de théorie économique - UL2 - Université Lumière - Lyon 2 - ENS LSH - Ecole Normale Supérieure Lettres et Sciences Humaines - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we analyze the decisional power index, the so called Hoede-Bakker index. This index takes the preferences of the players into account, as well as the social structure in which players may influence each other. We investigate the properties of the Hoede-Bakker index. We adapt some postulates for power indices and voting power paradoxes for the Hoede-Bakker set up. We investigate whether this decisional power index displays the adapted voting power paradoxes and whether it satisfies the adapted postulates for power indices.

Suggested Citation

  • Harrie de Swart & Agnieszka Rusinowska, 2007. "On some properties of the Hoede-Bakker index," Post-Print halshs-00201414, HAL.
    • Handle: RePEc:hal:journl:halshs-00201414
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00201414
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    References listed on IDEAS

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    1. van Deemen, Adrian & Rusinowska, Agnieszka, 2003. "Paradoxes of Voting Power in Dutch Politics," Public Choice, Springer, vol. 115(1-2), pages 109-137, April.
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    5. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    6. Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
    7. Lembke B., 1918. "√ a. p," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 111(1), pages 709-712, February.
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    Citations

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    Cited by:

    1. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2010. "Applying relation algebra and RelView to measures in a social network," European Journal of Operational Research, Elsevier, vol. 202(1), pages 182-195, April.
    2. Agnieszka Rusinowska, 2010. "The Hoede-Bakker index modified to the Shapley-Shubik and Holler-Packel indices," Post-Print halshs-00406430, HAL.
    3. 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.
    4. Agnieszka Rusinowska, 2007. "The not-preference-based Hoede-Bakker index," Working Papers 0704, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    5. Agnieszka Rusinowska, 2007. "The not-preference-based Hoede-Bakker index," Post-Print halshs-00142482, HAL.
    6. Michel Grabisch & Agnieszka Rusinowska, 2010. "Different Approaches to Influence Based on Social Networks and Simple Games," Post-Print hal-00514850, HAL.
    7. Agnieszka Rusinowska, 2010. "The Hoede–Bakker Index Modified to the Shapley–Shubik and Holler–Packel Indices," Group Decision and Negotiation, Springer, vol. 19(6), pages 543-569, November.
    8. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2010. "Applying relation algebra and RelView to measures in a social network," European Journal of Operational Research, Elsevier, vol. 202(1), pages 182-195, April.
    9. Tomas Rodriguez Barraquer, 2013. "From sets of equilibria to structures of interaction underlying binary games of strategic complements," Discussion Paper Series dp655, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    10. Alexis Poindron & Nizar Allouch, 2024. "A Model of Competing Gangs in Networks," Games, MDPI, vol. 15(2), pages 1-15, February.

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