Supplementary Tables - 1 -  Table S1: Average communication rates for chain and complete networks. Top: Com- bined favorite and underdog groups. Middle: Favorite groups. Bottom: Underdog groups. “Out” rates are total words per minute sent by node to other group mem- bers; the words in a message count twice if sent to both other members. “In” rates are words per minute received by a node. “Out/in” ratios are also displayed. For the combined chain network, the ratio of the center node’s outgoing message rate to the incoming messages from the outer nodes is 1.83 in approximate accord with our modeling assumption of setting the center node’s communication weight to be twice the outer nodes. For the combined complete network, the outgoing/incoming ratio of each node ranges from 0.85 to 1.14 in approximate accord with our setting the complete network nodes to have equal communication weights. S12 Chain  Complete  Node  out  in  out/in  out  in  out/in  w1  8.968  15.727  0.570  16.071  18.888  0.851  w2  31.740  17.302  1.834  18.255  17.794  1.026  w3  8.334  16.013  0.520  19.516  17.162  1.137  mean  16.347  16.347  0.975  17.947  17.948  1.005  Favorite/Chain  Favorite/Complete  Node  out  in  out/in  out  in  out/in  w1  8.930  16.319  0.547  15.362  18.090  0.849  w2  33.215  16.849  1.971  18.601  16.467  1.130  w3  7.919  16.896  0.469  17.572  16.980  1.035  mean  16.688  16.688  0.996  17.179  17.179  1.005  Underdog/Chain  Underdog/Complete  Node  out  in  out/in  out  in  out/in  w1  9.069  14.140  0.641  16.917  19.840  0.853  w2  27.787  18.516  1.501  17.843  19.376  0.921  w3  9.447  13.647  0.692  21.836  17.380  1.256  mean  15.435  15.435  0.945  18.865  18.865  1.010 