But though salaries in some areas are rising, the job is attracting fewer candidates.
Improved chances of winning have attracted stronger candidates, the Democrats say.
But several factors may make it more difficult than usual to attract high-quality candidates this year.
Some professional schools are trying to attract nontraditional candidates.
"These laws make it even more difficult to attract good candidates."
Perhaps the size of the target attracted more sophisticated candidates.
But officials said the increases are failing to attract qualified candidates.
One big reason is reluctance to pay the high salaries needed to attract top candidates.
On subsequent ballots, which could attract other candidates, a simple majority will win.
A search is likely to attract candidates from science, education and the arts.