An illustration of how decreasing homophily can cause a party-line polarization. Both figures correspond to $α=0.8,β=0.7$ (larger in-group favoritism compared to out-group animosity) and $r=0.65$ (a majority red group). First row corresponds to a homophilic network (intergroup links are more likely to form than intragroup links) with $ρ=0.7$ whereas second row corresponds to an unbiased network (all links are equally likely to form). Note that decreasing ρ from 0.7 (homophily) to 0.5 (unbiased) increases the effect of out-group hate and decreases the effect of in-group love on the choices, and pushes the social network from case 1 (consensus) to case 3 (party-line polarization) in Fig. 1 (with x-axis re-scaled as $αρβ(1−ρ)$⁠).