if your paying it your decision. Simple. Take more control of the situation and tell your friend that you are going to eat at "X" restaurant. They have no choice in the matter. You allowed them to become not just an equal part in the decision making, but sounds like they took over the decision making. Next time, if this friend is lucky enough to get a next time. Just simply decide for both of you. The last thing you want is to short change yourself by trying to do something nice for someone. And unfortunatly it sounds like you did just that. To bad, Vegas has so many dinning options!