We study the strategic behavior of voters in a model of proportional representation, in which the policy space is multidimensional. Our main finding is that in large electorate, under some assumptions on voters'preferences, voters essentially vote, in any equilibrium, only for the extreme parties.

In this paper we analyze a model of proportional representation that allows for both sincere and strategic voting. We prove that strategic voters vote only for the extreme parties in any equilibrium,if the electorate is large.