... consump- 10 Problem Size (n) Message-Passing Concave Approximation Greedy25 1. 35% ± 2 .14 15 .69% ± 9 .18 18 .25% ± 14 .5750 0. 81% ± 1. 18 17 .94% ± 7.79 20.62% ± 11 .4575 1 .10 % ± 0.98 17 .99% ± 5.64 20 .19 % ... 11 .4575 1 .10 % ± 0.98 17 .99% ± 5.64 20 .19 % ± 8.29 10 0 1. 38% ± 0.93 19 .34% ± 5.88 20.49% ± 6.27 12 5 1. 65% ± 0.78 19 .18 % ± 4.83 22.29% ± 6. 51 Table 1: A comparison of algorithms for Inelastic Rate ... Equilibrium messages fromthe resource are given byVr→a 1 (xa 1 ,r) =−2xa 1 ,rif xa 1 ,r∈ [0, 1/ 2], 1 if xa 1 ,r∈ [1/ 2, 1] ,and Vr→a2(xa2,r) =0 if xa2,r∈...