Prize allocation rule
= Prize allocation rule
{title2=$x_i(b)\geq0,\quad\sum_i x_i(b)\leq1$}
A prize allocation rule assigns winning probabilities or divisible prize shares to a profile of efforts. In an <all-pay auction>, the greatest effort wins; a <proportional allocation contest> instead assigns shares continuously according to relative effort. The rule is essential data of a contest model.