This resource defines an inessential game in the following way:
An inessential game is an n player cooperative characteristic function game where the total amount to be divided up is less than the sum of the amounts that each player thinks he can obtain when playing alone.
But what if the sum of the amounts the players think they can get is exactly equal to the amount they get from playing the game cooperatively? Surely, in that case, the game is still inessential because there is zero benefit in playing?
Is this the standard way of defining an inessential game in Game Theory?