This paper addresses two problems: how can we identify a verisimilar policy space and how can we detect Nash equilibria in this space for parties’ policy positions? We argue that the ideological party positions that voters perceive are fixed during the time span of one electoral campaign and that they constrain the policies parties offer the electorate in search of optimal vote shares. We apply the valence model developed by Schofield to party competition during the German federal election campaign 2009. First three issue scales are combined with a left–right scale to form one homogeneous space in which equilibrium locations of parties are sought. The results show that local Nash equilibria in this combined space depend heavily on the start values and are implausible. Fixing the ideological dimension leads to a stable and meaningful equilibrium configuration in which large parties move to more central positions and smaller parties move to more peripheral positions in the policy space.
This article presents an explanation for the success of the right in the 2015 Swiss parliamentary election based on the spatial model of voting. Since there is no party combining economically left with culturally authoritarian policy stances, voters with that preference combination face a difficult electoral choice. We show that they are more likely to abstain, and that those voters who turn out are more likely to cast votes for the right who represents them on cultural issues. We argue that this behavior is due to the fact that voters with this culturally conservative and economically left preferences attach more weight to cultural issues when making an electoral choice. On the aggregate, both findings imply an underrepresentation of economically left interests in the election result, and lead to a disproportional vote share for the right.
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