Here's an example of autistic competitiveness in more conventional areas. I can be very competitive when I'm sparring or playing something like badminton. The difference there is that I start to lose interest when we keep score. The important part is playing the game as well as I can, rather than winning.
pointless 
In Chess... in doesn't seem to matter about "playing the game as well as you can"... the AI figures out how to beat you on max settings.
(something about being "in check" simply because I like to eliminate royals, rooks, and bishops with my queen for some odd reason
)