On the Manipulability of Proportional Representation

This paper presents a new model of voter behaviour under methods of proportional representation (PR). We abstract away from rounding, and assume that a party securing k percent of the vote wins exactly k percent of the available seats. Under this assumption PR is not manipulable by any voter aiming at maximisation of the number of seats in the parliament of her most preferred party. However in this paper we assume that voters are concerned, first and foremost, with the distribution of power in the post-election parliament. We show that, irrespective of which positional scoring rule is adopted, there will always exist circumstances where a voter would have an incentive to vote insincerely. We demonstrate that a voter’s attitude toward uncertainty can influence her incentives to make an insincere vote. Finally, we show that the introduction of a threshold - a rule that a party must secure at least a certain percentage of the vote in order to reach parliament - creates new opportunities for strategic voting. We use the model to explain voter behaviour at the most recent New Zealand general election.

ONTIC: A Knowledge Representation System for Mathematics

Ontic is an interactive system for developing and verifying mathematics. Ontic's verification mechanism is capable of automatically finding and applying information from a library containing hundreds of mathematical facts. Starting with only the axioms of Zermelo-Fraenkel set theory, the Ontic system has been used to build a data base of definitions and lemmas leading to a proof of the Stone representation theorem for Boolean lattices. The Ontic system has been used to explore issues in knowledge representation, automated deduction, and the automatic use of large data bases.

The origins and impact of proportional representation

This article in the peer-reviewed Oxford Bibliographies series, gives an introduction to the literatures on the varieties, origins, and effects of proportional electoral systems.

MedVir: an interactive representation system of multidimensional medical data applied to Traumatic Brain Injury's rehabilitation prediction

Clinicians could model the brain injury of a patient through his brain activity. However, how this model is defined and how it changes when the patient is recovering are questions yet unanswered. In this paper, the use of MedVir framework is proposed with the aim of answering these questions. Based on complex data mining techniques, this provides not only the differentiation between TBI patients and control subjects (with a 72% of accuracy using 0.632 Bootstrap validation), but also the ability to detect whether a patient may recover or not, and all of that in a quick and easy way through a visualization technique which allows interaction.

Democracy or anarchy? : A study of proportional representation /

Mode of access: Internet.

PR politics in Cincinnati : thirty-two years of city government through proportional representation /

Mode of access: Internet.

Proportional representation,

Mode of access: Internet.

Proportional representation,

"Select bibliography": p. 514-517.

Proportional representation review

Mode of access: Internet.

Élections expérimentales : la désertion stratégique et la participation sous différents modes de scrutin

Cette thèse s'intéresse au lien qui existe entre le système électoral et deux comportements importants de la vie civique, soit la participation à une élection et la désertion stratégique du candidat préféré vers un autre candidat. Ces thèmes sont abordés dans de nombreux et de très importants ouvrages en science politique. En passant par la théorie (Downs, 1957) jusqu'à des études de terrain par l'entremise de sondages (Abramson, 2010; Blais, 2010), diverses méthodologies ont été employées pour mieux expliquer les choix des électeurs. Ma contribution à l'avancement des connaissances dans ce domaine passe par l'usage de la méthode expérimentale pour mieux saisir les similitudes et différences dans les comportements des électeurs sous le système uninominal à un tour (UT) et la représentation proportionnelle (RP) ainsi que les mécanismes au niveau individuel qui produisent ces similitudes et différences. Le cœur de la thèse est composé des trois articles dont voici les résumés : Article 1. Des élections expérimentales faites à Montréal, Paris et Bruxelles permettent d'estimer l’influence directe du mode de scrutin sur la décision des électeurs de voter ou non, et de voter pour leur parti préféré ou non. En tout, 16 groupes de 21 électeurs votent sous différents systèmes électoraux, soit le UT et la RP. Les préférences sont attribuées aléatoirement et connues de tous les participants. Nos résultats indiquent que le vote n'est pas globalement plus sincère et que la participation électorale n'est pas plus élevée sous le système proportionnel. Toutefois, nous observons moins de désertion d'un petit parti sous le système proportionnel. Article 2. Les expériences permettent également d'expliquer pourquoi les électeurs votent parfois pour un parti autre que leur parti préféré. La conclusion principale est que la décision de voter de façon sincère ou non est influencée par les préférences individuelles, mais aussi par les perceptions des chances de gagner des candidats ainsi que des chances que son propre vote puisse décider le résultat de l'élection. Les électeurs qui désertent leur premier choix prennent en considération quel candidat est le plus près de leurs positions politiques, mais également de la viabilité de cette alternative. De plus, les électeurs qui aiment prendre des risques ont davantage tendance à déserter. Article 3. Le modèle de l'électeur pivot est mis à l'épreuve pour mieux comprendre la décision de voter ou non lors d'une élection. Nos expériences permettent de répliquer, avec un devis expérimental différent, les résultats importants des travaux de Duffy et Tavits (2008). Nos résultats confirment que la perception d'être pivot augmente la participation, que ces perceptions sont sujettes à la surestimation et que cette surestimation ne décline pas complètement dans le temps. Nous allons également plus loin que les recherches de Duffy et Tavits et nous trouvons que la participation n'est pas plus forte sous RP que sous UT et que la probabilité d'être pivot a un impact plus important chez les électeurs évitant de prendre des risques.

The Coup One Year on: Thailand's "Ugly German" Constitution. Asia Policy Brief 2015/02, May 2015

A year after becoming a military dictatorship once more, Thailand’s new constitution – the 20th since 1932 – is taking shape. In it, the arch-conservative charter drafters stipulate that future elections will be conducted using a variant of Germany’s mixed-member proportional representation system. Their hope is that the resulting coalition governments will prevent future administrations from turning into populist one-man shows. The drafters may be hoping in vain.

Mind the Gap. Do Proportional Electoral Systems Foster a More Equal Representation of Women and Men, Poor and Rich ?

Female gender and low income are two markers for groups that have been historically disadvantaged within most societies. The study explores two research questions related to their political representation: 1) Are parties ideologically biased towards the ideological preferences of male and rich citizens? 2) Does the proportionality of the electoral system moderate the degree of underrepresentation of women and poor citizens in the party system? A multilevel analysis of survey data from 24 parliamentary democracies indicates that there is some bias against those with low income and, at a much smaller rate, women. This has systemic consequences for the quality of representation, as the preferences of the complementary groups differ. The proportionality of the electoral system influences the degree of underrepresentation: specifically, larger district magnitudes help closing the considerable gap between rich and poor.

Fixed-boundary constituencies and the principle of equal representation in Ireland

The process of constituency boundary revision in Ireland, designed to satisfy what is perceived as a rigid requirement that a uniform deputy-population ratio be maintained across constituencies, has traditionally consumed a great deal of the time of politicians and officials. For almost two decades after a High Court ruling in 1961, the process was a political one, was highly contentious, and was marked by serious allegations of ministerial gerrymandering. The introduction in 1979 of constituency commissions made up of officials neutralised, for the most part, charges that the system had become too politicised, but it continued the process of micro-management of constituency boundaries. This article suggests that the continuing problems caused by this system – notably, the permanently changing nature of constituency boundaries and resulting difficulties of geographical identification – could be resolved by reversion to the procedure that is normal in proportional representation systems: periodic post-census allocation of seats to constituencies whose boundaries are based on those of recognised local government units and which are stable over time. This reform, replacing the principle of redistricting by the principle of reapportionment, would result in more recognisable constituencies, more predictable boundary trajectories over time, and a more efficient, fairer, and speedier process of revision.