“…Let each corner point of R be an n-tuple whose elements are among the numbers R 1 , · · · , R L−1 and R L . With no cooperation among the users, the authors in [22] propose that each user selects a codebook of rate R l with probability p l ∈ (0, 1) for 1 ≤ l ≤ L. Assuming the receiver is aware of the rate selection of all users, the average sum rate of the network isR = l 1 ,··· ,ln∈{1,··· ,L} p l 1 · · · p ln (R l 1 + · · · + R ln )1 (R l 1 ,··· ,R ln )∈R where 1 (R l 1 ,··· ,R ln )∈R is 1 if (R l 1 , · · · , R ln ) ∈ R and 0 otherwise. Finally, the numbers p 1 , · · · , p L−1 and p L are derived to maximizeR.…”