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Asymptotic bias of some election methods
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Annals of Operations Research, ISSN 0254-5330, E-ISSN 1572-9338, Vol. 215, no 1, 89-136 p.Article in journal (Refereed) Published
Abstract [en]

Consider an election where N seats are distributed among parties with proportions p (1),aEuro broken vertical bar,p (m) of the votes. We study, for the common divisor and quota methods, the asymptotic distribution, and in particular the mean, of the seat excess of a party, i.e. the difference between the number of seats given to the party and the (real) number Np (i) that yields exact proportionality. Our approach is to keep p (1),aEuro broken vertical bar,p (m) fixed and let N -> a, with N random in a suitable way. In particular, we give formulas showing the bias favouring large or small parties for the different election methods.

Place, publisher, year, edition, pages
2014. Vol. 215, no 1, 89-136 p.
Keyword [en]
Proportional election methods, Divisor methods, Quota methods, Bias, Probability of violating quota, Apparentements
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-223509DOI: 10.1007/s10479-012-1141-2ISI: 000332831200007OAI: oai:DiVA.org:uu-223509DiVA: diva2:715544
Available from: 2014-05-05 Created: 2014-04-22 Last updated: 2017-12-05Bibliographically approved

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Janson, Svante

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