The Man With Two Wives
From Aesop's Fables.
In the old days, when men were allowed to have many wives, a middle-aged Man had one wife that was old and one that was young; each loved him very much, and desired to see him like herself. Now the Man's hair was turning grey, which the young Wife did not like, as it made him look too old for her husband. So every night she used to comb his hair and pick out the white ones. But the elder Wife saw her husband growing grey with great pleasure, for she did not like to be mistaken for his mother. So every morning she used to arrange his hair and pick out as many of the black ones as she could. The consequence was the Man soon found himself entirely bald.
Yield to all and you will soon have nothing to yield.
That was the original moral at the end of this Aesop's fable.
In Stoicism, fame—or the opinions of others—is regarded as something that one shouldn't be overly concerned with. As Marcus Aurelius puts it, one should “learn to be indifferent to that which makes no difference.”
Humans are social creatures, as such, it's inevitable that we often concern ourselves with what others think, feel or say about us. This incessant concern with our fame, however, leads to much anxiety and little peace.
To quote Marcus Aurelius again, “we all love ourselves more than other people, but care more about their opinions than our own.”