Targeting the House Size: Discrepancy Distribution

Friedrich Pukelsheim
Additional contact information
Friedrich Pukelsheim: Universität Augsburg, Institut für Mathematik

Chapter Chapter 6 in Proportional Representation, 2017, pp 107-125 from Springer

Abstract: Abstract Technical aspects are discussed that are common to all seat apportionment methods. Typical calculations start with an initial apportionment that, while aiming at the target house size, misses it by some discrepancy. The range of variation of the discrepancy is analyzed. For stationary divisor methods an initialization with an appropriately adjusted divisor is recommended. The discrepancy distribution is determined in two models. One model assumes that the vote shares are uniformly distributed, and allows the house size to be finite. The other model assumes that the distribution of the vote shares is absolutely continuous, and lets the house size grow to infinity. An invariance principle shows that the associated discrepancy distributions converge to a limit that is a convolution of uniformly distributed rounding residuals.

Date: 2017
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-64707-4_6

Ordering information: This item can be ordered from
http://www.springer.com/9783319647074

DOI: 10.1007/978-3-319-64707-4_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().