On some properties of the Hoede-Bakker index

Harrie de Swart (1) , Agnieszka Rusinowska (2)

1 Faculteit Wijsbegeerte-Logica en taalanalyse
2 GATE - Groupe d'analyse et de théorie économique

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.

Keywords: Hoede-Bakker index; power index; inclination vector; group <br />decision; voting power paradoxes; postulates for power indices

Domains: Economics and Finance

Harrie de Swart, Agnieszka Rusinowska. On some properties of the Hoede-Bakker index. Journal of Mathematical Sociology, 2007, 31 (4), pp. 267-293. ⟨halshs-00201414⟩