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...

Approval voting allows voters to support as many candidates as they wish. One advantage of the method is that voters have weak or no incentives to vote insincerely. However, the exact meaning of this statement depends on how the voters' preferences over candidates are extended to sets. We show...

We explore the possibility of axiomatic characterization of approval voting when the set of voters is fixed and each voter has a dichotomous preference over the alternatives. We first prove that if the set of alternatives is variable, a social choice rule is approval voting if and only if it...

The nonasymptotic Condorcet jury theorem states that, under certain conditions, group decision-making by simple majority voting can decide more efficiently than single-person decision-making, in terms of having a higher probability of choosing the better alternative. Wit (1998) showed that the...

We aim to identify the most influential members of the Agricultural Committee of the European Parliament (COMAGRI). Unlike previous studies that were based on case studies or interviews with stakeholders, we analyse the voting power of MEPs using a spatial Banzhaf power index. We identify...

Pivato and Soh [Pivato, M., Soh, A., 2020. Weighted representative democracy. Journal of Mathematical Economics 88 (2020) 52--63] proposed a new system of democratic representation whereby any individual can choose any legislator as her representative and different legislators can represent...

Despite the wide variety of agendas used in legislative settings, the literature on sophisticated voting has focused on two formats, the so-called Euro-Latin and Anglo-American agendas. In the current paper, I introduce a broad class of agendas whose defining structural features,...

Numerous theoretical studies have shown that information aggregation through voting is fragile. We consider a model of information aggregation with vote-contingent payoffs and generically characterize voting behavior in large committees. We use this characterization to identify the set of...

Approval voting allows voters to support as many candidates as they wish. One advantage of the method is that voters have weak or no incentives to vote insincerely. However, the exact meaning of this statement depends on how the voters' preferences over candidates are extended to sets. We show...

We study the possibilities for agenda manipulation under strategic voting for two prominent sequential voting procedures: the amendment procedure and the suc- cessive procedure. We show that a well known result for tournaments, namely that the successive procedure is (weakly) more manipulable...