The correct answer to this open question is the following.
The system that Plato believed would arise out of an aristocracy if individuals who have been selected to serve were not of the best quality was Timocracy.
Plato was one of the greatest philosophers of ancient Greece. When he wrote the influential political book "The Republic," he wrote about Timocracy in Book 8. Plato mentioned that Timocracy had the opposite characteristics of an Aristocracy and although it could be a combination of the positive and negative traits, prominent Greeks would be very aware of Timocracy because people who rule under this form would pursue more individual interests instead of promoting the collective welfare.
