It was a question raised when I met a very successful businessman from overseas, he used to have many chain stores and get many staff in different countries. His answer was: wealth. His point was that we would have many unexpected problems if we traced for fame, as once we focus on fame we would get many competitors, and would also bring troubles for the family.
Maybe most of us would trace for wealth, but at the same time many of us also wish to be famous. For Chinese we have an old saying: the big trees always easier causing the wind(troubles).
I remember what he said, but sometimes I could hardly control myself for the fame which causing me some troubles. Maybe you have a better idea regarding to this question.