This Note contains the recommendation for a mathematical basis for the apportionment of the seats in the European Parliament between the Member States of the European Union. This is the unanimous recommendation of the Participants in the Cambridge Apportionment Meeting, held at the instigation...

The paper studies a specific reinforcement learning rule in two-player games when each player faces a unidimensional strategy set. The essential feature of the rule is that a player keeps on incrementing her strategy in the same direction if and only if her utility increases. The paper...

This paper reports on a vote for choosing the best voting rules that was organized among the participants of the Voting Procedures workshop in July, 2010. Among 18 voting rules, Approval Voting won the contest, and Plurality Voting received no support at all.

We examine through an experimental design how rational and non-rational considerations affect the decision to vote or to abstain in First Past the Post and PR elections. We show that in both types of elections, but particularly so under PR, a majority of subjects do not make the "right"...

This paper reviews the arguments that justify the principles of proportional and degressively proportional representation.

A l'occasion du premier tour des élections présidentielles du 22 avril 2012, les électeurs de trois communes françaises ont été invités à tester in situ le vote par approbation ainsi que trois versions du vote par évaluation. Ce papier a pour objet de présenter les résultats de cette...

Under evaluative voting, the voter freely grades each candidate on a numerical scale, with the winning candidate being determined by the sum of the grades they receive. This paper compares evaluative voting with the two-round system, reporting on an experiment which used various evaluation...

Cet article se place dans le cadre d'un modèle de pure politique redistributive entre trois groupes d'électeurs. Il compare deux variantes de la compétition électorale entre deux partis, l'objectif d'un parti étant soit la probabilité de victoire ("jeu du tournoi majoritaire"), soit le...

We consider a group or committee that faces a binary decision under uncertainty. Each member holds some private information. Members agree which decision should be taken in each state of nature, had this been known, but they may attach different values to the two types of mistake that may occur....

L'article est consacré au vote par assentiment pour une grande population de votants. On montre que, partant d'une information statistique sur les scores des candidats, les électeurs rationels votent sincèrement. On montre alors que, si un candidat est vainqueur de Condorcet, ce candidat est...