We critically discuss the Jefferson/D'Hondt and Webster/Sainte-Laguë methods, which are used to allocate parliament seats to parties in the mixed-member proportional representation systems in Germany, New Zealand, Bolivia, South Africa, South Korea, Scotland and Wales, as well as in the...

Since voters are often swayed more by the personal image of politicians than by party manifestos, they may cast votes that are in opposition to their policy preferences. This results in the election of representatives who do not correspond exactly to the voters' own views. An alternative voting...

The paper estimates the policy representation of 34 German parties that participate in the 2017 Bundestag (federal) election. For this purpose, the party positions on 31 topical issues are compared with the results of recent public opinion polls. Then we construct the party indices of popularity...

There are many situations in which different groups make collective decisions by committee voting, with each group represented by a single person. A natural question is what voting system such a committee should use. Concepts based on voting power provide guidelines for this choice. The two most...

We extend approval voting so as to elect multiple candidates, who may be either individuals or members of a political party, in rough proportion to their approval in the electorate. We analyze two divisor methods of apportionment, first proposed by Jefferson and Webster, that iteratively...

How should a society choose between two social alternatives if participation in the decision process is voluntary and costly and monetary transfers are not feasible? Considering symmetric voters with private valuations, we show that it is utilitarian-optimal to use a linear voting rule: votes...