[EM] Proportional Representation from Ratings Ballots

[Raph Frank]

(Ahem), actually it's:

 Stage 1, (Election stage) select k1 so that

 k1*[ w(a)*r(a) + w(b)*r(b) + ..... ] = 1

 Each candidate gets

 k1*w(x)*r(x)

 Stage 2, (Elimination stage) select k2 so that

 (k2)^2 * ([w(c)*r(c)]^2 + [w(d)*r(d)]^2 + ... ) = 1 - k1*[w(a)*r(a) +
w(b)*r(b)]

 Each candidate gets

 k2*[w(x)*r(x)]

 Eliminate the remaining candidate who scores the lowest.