VERB + COMPROMISE

be prepared to, be ready to
refuse to
He wanted his own way and refused to compromise

PREP

on
Unions and management seem ready to compromise on the level of the pay increase
with
They debated whether to compromise with the opposition parties

ADV

seriously
The affair seriously compromised the party's prospects of electoral success

VERB + COMPROMISE

be prepared to, be ready to
refuse to

PREP

on
We are not prepared to compromise on safety standards