What if you owned a vintage dress shop four doors from another second-hand dress store that just opened? Would you sit down and meet with the new owner if the knowledge you gained from the meeting helped you better compete? It might be a good idea. Suggest having coffee as a way to open dialogue between you. Use the time to see where ideologies between the two of you dovetail or depart. Actively listen and repeat what you think your adversary just said. You may discover discrepancies between what was actually said and what you thought was stated. See if you can find common ground. Is there a way you might team up to bring more business into both stores? Find win-win scenarios that might serve you both well.