Yes, that is the type of character which answers to Timocracy.
"Plato's Republic"
Plato
Ought I not to begin by describing how the change from Timocracy to oligarchy arises?
"Plato's Republic"
Plato
Where all things are done according to Reason and the best man in the nation rules, it is a Kingdom; where more than one rule according to Reason and Fight, it is an Aristocracy; where the government is according to Desire and offices depend on money, that constitution is called a Timocracy.
"Five Stages of Greek Religion"
Gilbert Murray