At the Swedish election in September 2010 the distribution of seats in the Swedish Riksdag was not as proportional to the number of votes the parties had gotten as it could have been. Proportionality is the intention in the Swedish law and the unproportionality came as a great surprise to most Swedes. The same thing happened in 9 of the 20 elections for county councils (landsting). The reason for this is the way the Swedish election law tries to ensure reasonable proportionality also between various regions of Sweden. This workshop will discuss various election methods. One important topic will be advantages and disadvantages of various methods to achieve reasonable proportionality both for parties and for regions, but many other topics will also be discussed. Both mathematical and political aspects will be treated. This document gives a brief explanation of the Swedish election system.


Participation is free of charge. However, participation in the conference dinner is by invitation only. If you intend to attend some (or all) of the lectures, please register by sending an e-mail to


The workshop will take place during May 30-31 at the Royal Institute of Technology (KTH) in Stockholm. All lectures will be held in lecture hall K2. There are more precise directions given below.


Click the name of the speaker for abstract, title for slides from the corresponding talk.

TimeMonday 30 MayTimeTuesday 31 May
9.10-9.40 Linusson
Dynamic adjustment for proportionality
9.00-9.30 Pukelsheim
Hypothetical Biproportional Riksdag Elections 2010
9.50-10.20 Hylland (canceled)9.40-10.10 Ramirez
Designing electoral systems: properties, thresholds, methods. Application to the Riksdag election in Sweden
11.00-11.30 Grønvik
Can full proportional representation (PR) be achieved in Norway?
10.50-11.20 Zachariasen
Biproportional Apportionment Methods: Lessons Learned from Two Real Life Benchmark Studies
11.40-12.10 Elklit
The Politics of Electoral Reform in Sweden: What are the Problems and What are the Solutions?
11.30-12.00 McLean
The rocky progress of electoral reform in the UK 2010-11
14.00-14.30 Balinski
Majority Judgment: Judge, don't vote!
14.00-14.30 Hermansson
The electoral system in Sweden - what should we focus upon?
14.40-15.10 Edelman
The Apportionment of the US Congress in the 1920's - The Role of Social Choice in Political Controversies
14.40-15.10 Oscarsson
The Citizens and the Election System
15.50-16.20 Lanke
What is that makes the Swedish Election Act fail?
15.50-16.20 Nurmi
The ambiguous of proportionality
16.30-17.00 Janson
Probabilistic studies of election methods
16.30-17.30Panel discussion, questions
19.00 Conference dinner

Hylland's talk was replaced by Janson's talk (so there was no talk 16.30 on Monday.) The schedule for Tuesday is unchanged.
Friedrich Pukelsheim has kindly shared the photos he took during the workshop. They can be viewed here and downloaded in one package here.

Invited Speakers

Prof. Michel Balinski, Mathematics, Ecole Polytechnique, France
Prof. Paul Edelman, Mathematics and Law, Vanderbilt University, USA
Prof. Jørgen Elklit, Political Science, University of Aarhus, Denmark
Dr. Polit. Gunnvald Grønvik, Political Science, Norway.
Prof. Aanund Hylland, Economics, University of Oslo, Norway
Prof. Iain McLean, Political Science, University of Oxford, Great Britain
Prof. Hannu Nurmi, Political Science, University of Turku, Finland
Prof. Friedrich Pukelsheim, Mathematics, University of Augsburg, Germany
Prof. Victoriano Ramirez, Applied Mathematics, University of Granada, Spain
Prof. Martin Zachariasen, Computer science, University of Copenhagen
Prof. Jörgen Hermansson, Political science, Uppsala University
Prof. Svante Janson, Mathematics, Uppsala University
Prof. Jan Lanke, Statistics, Lund University
Prof. Svante Linusson, Mathematics, KTH, Stockholm
Prof. Henrik Oscarsson, Political Science, University of Gothenburg


Prof. Svante Linusson, Mathematics, KTH (chair)
Prof. Svante Janson Mathematics, Uppsala University
Prof. Boualem Djehieche, Mathematical Statistics, KTH
Prof. Jörgen Weibull, Economics, Stockholm School of Economics (Handelshögskolan) and KTH
Erik Aas, Mathematics, KTH


The sole sponsor of the workshop is Riksbankens Jubileumsfond, whose support is gratefully acknowledged.


Ways to escape from this page.

Navigating Stockholm

From almost anywhere to KTH

Here's the location of the math department. This page explains how to get from various places to the math department at KTH.

From T-Centralen to Hotel Arcadia (which is quite close to KTH)

T-Centralen is the name of the main railway station in Stockholm. Below is a link to a map describing a path from T-Centralen (A) to Hotel Arcadia (B), where some of the participants will be hosted during the workshop.
Link to a map
The address of Hotel Arcadia is Körsbärsvägen 1. One good way to get from T-centralen to Hotel Arcadia is to go by metro (metro stations are indicated by blue 'T':s on white circular backgrounds, both on the map and in the real world). To do this, go to T-Centralen metro station (which is adjacent to T-Centralen train station), take red line number 14 (there are two red lines, only 14 will work. The two red lines share the same track.) going towards "Mörby Centrum" (there are two directions, only this one will work). Get off the train at "Tekniska Högskolan" (KTH). Get out of the metro station in the direction indicated by the signs saying "Körbärsvägen". Now you are really close.