The VP of our group has resigned in the middle of his term and our bylaws state that the executive committee shall appoint someone to fill the vacancy, with input from the nominating committee. With the absence of the VP, that leaves four remaining executive committee members. If the vote for the VP appointment ends in a tie, what happens? Do they discuss then vote again, hoping it's not tied a second time, or is that nominee removed from consideration? The bylaws are silent on this issue and RR are mentioned as governing whatever isn't specifically in the bylaws.
