PHRASAL VERB （为从中渔利而）使…相斗，挑拨离间 If you play people off against each other, you make them compete or argue, so that you gain some advantage. （为从中渔利而）使…相斗，挑拨离间 [Also VP n (not pron) P n]
Gregory would interview them, and would play one off against the other. [VERB noun PREP.PREP. noun]