I came across this very interesting website with analysis of the personalities of famous fictional characters
Below is Tony Starks’s. Apparently he is the ultimate “Commander” while Pepper Potts has an “Executive” personality type.
"He is strongly willful, doesn’t work well with any authority other than his own, and will enthusiastically tear down just about anyone who challenges him. He’s complicated, a little self-absorbed, and sometimes moody. We at 16Personalities think he is the ultimate Commander personality type with a seriously Turbulent streak.
Fortunately for the superhero world, Tony Stark is perceptive enough to identify his shortcomings and find people to shore up his weaknesses. For example, he gets Pepper Potts, his girlfriend/fiancée to take over as the CEO of Stark Enterprises, and she winds up doing a masterful job running the day-to-day business side of his company. (Our best guess is that she is well-suited for the job with an Assertive Executive – ESTJ-A – personality type.)"