An interesting counterexample to some of your points is the Disney Renaissance, generally considered to be the golden age of Disney animation, which started fifty years after Disney began animating films. AIUI, the conventional wisdom is that there happened to be a confluence of incredible talents: in particular, Howard Ashman and Alan Menken were an incredible songwriting duo. The Renaissance was also when the iconic Disney princess line was invented. Before the Renaissance, Disney happened to have made films about princesses, but it wasn’t a distinct category, any more than films about talking animals were considered a distinct category. The anecdote I’ve heard is that a producer noticed that girls were wearing handmade Sleeping Beauty and Cinderella dresses, and decided to appeal to the obvious market here!
I for one would be very interested in it if you decided to look into why the Disney Renaissance was so good so long after Disney began animating films.
You write “Is it in fact the case that the difference between the 1st- and 2nd-best performer should shrink as the number of competitors goes up? This isn’t obvious to me either way.”
I think that, if you’re drawing without replacement n times from a normal distribution, the difference between highest and second-highest value drawn should shrink as n rises, but that the opposite is true if the distribution is log-normal.
I would expect that “greatness” in terms of critical acclaim in some field is log-distributed, so, the bigger the field, the greater the extent to which the leader should stand out above the second-best.
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An interesting counterexample to some of your points is the Disney Renaissance, generally considered to be the golden age of Disney animation, which started fifty years after Disney began animating films. AIUI, the conventional wisdom is that there happened to be a confluence of incredible talents: in particular, Howard Ashman and Alan Menken were an incredible songwriting duo. The Renaissance was also when the iconic Disney princess line was invented. Before the Renaissance, Disney happened to have made films about princesses, but it wasn’t a distinct category, any more than films about talking animals were considered a distinct category. The anecdote I’ve heard is that a producer noticed that girls were wearing handmade Sleeping Beauty and Cinderella dresses, and decided to appeal to the obvious market here!
I for one would be very interested in it if you decided to look into why the Disney Renaissance was so good so long after Disney began animating films.
You write “Is it in fact the case that the difference between the 1st- and 2nd-best performer should shrink as the number of competitors goes up? This isn’t obvious to me either way.”
I think that, if you’re drawing without replacement n times from a normal distribution, the difference between highest and second-highest value drawn should shrink as n rises, but that the opposite is true if the distribution is log-normal.
I would expect that “greatness” in terms of critical acclaim in some field is log-distributed, so, the bigger the field, the greater the extent to which the leader should stand out above the second-best.