From Longman Dictionary of Contemporary Englishhold out for something phrasal verbASK FOR something/ASK somebody TO DO somethingto not accept anything less than you have asked for Transport workers are holding out for a 20% pay rise. → hold→ See Verb table
Examples from the Corpus
hold out for • Or maybe we should hold out for a bid from Big Oil.• It crossed my mind to hold out for a job in corporate finance.• Another dissented from the final figure, holding out for a lower award.• What if Mr Hall held out for a while before settling up?• We can hold out for days.• Should they compromise with Clinton over a piece of the tax-cut pie or hold out for the whole pie? 