There already is a rule like that.

Important regulations
If one round has reached a 'dead end', game administration can enforce reset without winning family.
Dead end is considered to be one (or all) of the following situations:
High number of standing families that refuse to shoot eachother, delaying EOG start
High number of Bruglione accounts alive that refuse to shoot eachother, delaying EOG start
Any other state of the game that is preventing normal game and rounds flow

Don't forget
Reset will be announced when game administrators consider that the game is closed.