The BEST pilot would not consider him or herself to be the Best pilot - because they would constantly be striving to improve and be a better pilot.
Not out of any competitive or comparitive sense (because that is where many inherent dangers lie) but out of a sense of self improvement and spiritual satisfaction. There's never any room for smugness or self satisfction until you've finished your flying for the day and can look back on it (and even then you'll find a million things you wished you'd done better).
There was a great article the other week on <a href="http://www.avweb.com" target="_blank">www.avweb.com</a> about being an airplane pilot versus being an airplane driver. Excellent read.