How can construction employers recognize construction executives who may accept counteroffers? Most construction employers agree that one of the most difficult aspects of hiring is when an construction executive accepts a counteroffer from their current construction employer, or changes his or her mind after accepting a position. construction employers should be aware of the signals that may indicate a possible problem. For instance, construction employers should recognize that any unusual construction executive delays through rescheduling, prolonged indecision, discussions with peers, staff or management from their current construction employer, or when the construction executive is unwilling to tell the new construction employer what he or she intends to precisely tell the existing construction employer at resignation.