Proportional allocation contest (source code)

= Proportional allocation contest
{title2=$x_i(b)=b_i/\sum_j b_j$}

For positive total effort, a proportional allocation contest awards player $i$ the prize with <probability> $b_i/\sum_j b_j$, or gives it that proportion of a divisible prize. A convention is needed at zero total effort. This allocation is different from the discontinuous highest-effort rule of an <all-pay auction>.