Recent studies of the U.S. and European countries find that policy responsiveness is strongly skewed to the rich and well-educated. The introduction of direct democracy has been proposed as a solution to this problem. To explore whether this could lead to more political equality, this paper analyzes policy responsiveness in Switzerland, the country with the strongest direct democratic institutions worldwide, in the same manner of Gilens (2012) and his followers. The analysis draws on an original dataset linking public opinion to policy with regard to 399 survey items asked between 1987 and 2017. I use this dataset to analyze whose preferences predict change and to compare the responsiveness of direct and representative democratic agenda-setting within the country. The results show that direct democratic agenda-setting is more equally responsive than governmental agenda-setting, but political outcomes in Switzerland are similarly skewed as in predominantly or fully representative democracies.