1. I apologize all the time (admittedly, not very sincerely) if the person FEELS they are owed an apology. It costs me nothing, gets me past a potentially ugly situation if the person continues to build resentment, and most often, I can get away with apologizing--not for any actual wrongdoing--but for hurting their feelings or making them angry, or for whatever emotion I may have invoked. This acknowledges that I at least recognize that I have in some way made them unhappy, whether or not I would actually do it exactly the same way under the same circumstances or not. As they say, once you can fake sincerity, the rest is easy.