Is this covered by Article V: Government, Section 1. Elections? I feel like it is. Specifically, Item 3:
Corpora wrote:3. In cases where a candidate is running unopposed, the candidate must pass a vote of confidence in order to win the election.
a. If a candidate loses a vote of confidence, anyone who qualified during Crown Qualifications may declare their intent to run for that office. A second election shall be held in one (1) week by the Prime Minister.
Now that I quote it though, it does seem to be largely focused on Crown elections thanks to that mention of Quals in sub item a. Since it's not explicitly directed at Crown elections though, item 3 should still affect all other elections, such as BoD members. That just leaves the problem of the word "unopposed." Since the BoD elections are handled elimination style, does that throw a wrench in this particular mechanic?
Now that I've thought and typed my way through all this, feel like the waters are getting muddied. This simple amendment might just be the best solution instead of trying to apply the above interpretation.