Given that there is a single player game, let's say, Tetris. I play the game for 5 days and my friend is also playing the game for 5 days. At the end of the 5 days we would like to see who has the highest score and that person wins some prize.
Is it better that we see the scores of our opponent and try to better it, or is better that I do not see my friend's score and focus on just constantly beating my own score?
Which of the 2 scenarios is likely to yield the higher score at the end of the 5 days? And why?
I'm doing some research on gamification and how competition can help us progress a skill.