In this paper we consider a multi-party electoral competition model in which parties -which care both about implemented policy and their electoral performance-strategically promise a redistribution scheme while their social ideologies are considered to be known and …xed (di¤erentiated parties). Voters, who di¤er both in income and in social ideologies, vote sincerely for the party that they cumulatively like most (that is, taking into account both the redistribution scheme proposals and parties' social ideologies). Formal analysis of this game uncovers a moderates-vs-extremists equilibrium: parties with moderate social ideologies tend to favor generous redistribution in order to capture the votes of the poor majority, while parties with extremist social ideologies are more likely to be non-competitive in the economic dimension by proposing policies that do not re ‡ect the interests of the poor. An implication of this result is that, ceteris paribus, an increase in income inequality should lead to an increase in the cumulative vote share of moderate parties and, hence, in a decrease in party-system fragmentation.