How does personal bias reshape opinion networks more than mean-field models predict?

Agents holding binary opinions with built-in preference biases interact on complex networks. Using pair approximation theory, researchers show that partisan bias redistributes active connections (links between opposing opinions) without changing their total number on random networks—but structural homophily (tendency to connect with similar others) qualitatively alters the outcome. The work maps distinct regimes where preference strength and connectivity patterns compete, moving beyond standard mean-field treatments.