A cantonal majority requirement would significantly raise the bar for a ‘yes’ vote on a referendum on the EU-Swiss Bilateral Agreements III. The Swiss government rejects it and the ball is now in the Senate's court. What is the cantonal majority? Referendums in Switzerland require one or two majorities to be successful. A "popular majority" is always required. This is a majority of all votes cast.  In some cases, a "cantonal majority" is also required. This broadly means securing the support of