You mean everyone quit together? That's called a strike.
In 1999, Major League Umpires Association (MLUA) were not able to legally go strike so they opted to use mass resignation as their negotiation strategy. It backfired, cost 22 umpires their careers and led to decertification of the union.
http://en.wikipedia.org/wiki/1999_Major_League_Umpires_Assoc...
BA Cabin staff I believe did this in the UK