не соглашаться на что-либо(to refuse to go along with others in a concerted action or to come to an agreement "holding out for a shorter workweek" Bullfinch)
не соглашаться на меньшее(when you hold out or hold out for something, you refuse to compromise in a negotiation and accept anything less than your original demands: The basketball player is holding out for a million dollars a game; The union spokesman said the union members would hold out until their demands were metTaras)
