What does He that falls in love with himself will have no rivals mean?

What I think this phrase means is that if you obviously over excessively think or more like believe that you are beautiful looking or the best there is at something, or you can out compete somebody else in a certain subject, than that means that since you can "dominate" anybody else in that certain subject than you have no rival that can match you or be better than you at that subject. So, there is no worry for that person if they are that conceited. ANS 2: If you love only yourself, nobody else will have anything to do with you (there will be no rivals for your love of yourself).