As I originally said as a comment, the following paper provides perhaps one attempt at approaching a similar question. Namely the authors explore what effect winning the Fields medal has on mathematicians productivity. To do this they examine publication and citation rates of a select group of mathematicians over time. The authors' note, "It turns out that Fields medalists are not only publishing fewer papers in the post-medal period, and that those papers are relatively less important, but they are also accepting fewer mentees under their wing."

"[Prizes and Productivity: How Winning the Fields Medal Affects Scientific Output][1]"

George J. Borjas and Kirk B. Doran
  [1]: http://hks.harvard.edu/fs/gborjas/publications/journal/JHR2015.pdf