Although extensive research analyzes the factors that motivate European parties to shift their policy positions, there is little cross‐national research that analyzes how voters respond to parties’ policy shifts. We report pooled, time‐series analyses of election survey data from several European polities, which suggest that voters do not systematically adjust their perceptions of parties’ positions in response to shifts in parties’ policy statements during election campaigns. We also find no evidence that voters adjust their Left‐Right positions or their partisan loyalties in response to shifts in parties’ campaign‐based policy statements. By contrast, we find that voters do respond to their subjective perceptions of the parties’ positions. Our findings have important implications for party policy strategies and for political representation.