Chopping if you are the best player?

[skitzo444]

Is it a good idea to chop towards the end of a tournament if you are the best player but are shortstacked.

Example 4 of us played a 10 dollar winner take all tournament structure. It got down to me and another player and I know I am a better player than him but he had a 2-1 chip lead on me. If we were to chop properly the breakdown would have been $30 for him and $10 for me but we split the $40 50/500. So I thought it was a good chop because I was shortstacked but I know I could probably outplay him. Another factor was that the blinds were 100/200 and I had about 2000 and he had about 6000. So We had 10 BB and 20 BB respectively.
So my question is was it good to chop evenly when I was a 2-1 chip underdog with 10 BB but I knew I was a better player.