Changes

As noted on the top of page 1189 of the article: "in a two-session legislature, if the members have different probabilities <math>p_i\,</math> of being recognized, each has a continuation value <math>v_i(1, g) = p_i\,</math> for any second session subgame. Then, if any member k is recognized in the first stage, he or she can offer <math>\delta p_i\,</math> to the ith member and that member will vote for the proposal. Member k will thus choose the <math>(n-1)/2\,</math> members with the lowest <math>p_i\,</math>. Note that depending on the probabilities the member with the lowest probability of recognition may have the highest ex ante value of the game, and the member with the highest probability of recognition may have the lowest ex ante value of the game. For example, if <math>n=3, p_1=\frac{1}{3}+\epsilon, p_2=\frac{1}{3}, p_3=\frac{1}{3}-\epsilon \,</math>, the ex-ante values <math>v_i\,</math> of the game have limits <math>v_1=\frac{2}{9},</math> <math>v_2=\frac{1}{3},</math> <math>v_3=\frac{4}{9},</math> as <math>\epsilon -> 0\,</math>. The member with the lowest probability of recognition thus can do better than the other members because he or she is a less costly member of any majority."