🤖 AI Summary
In social networks, minority groups face structural marginalization exacerbated by homophilous ties. Contrary to the conventional assumption that homophily is universally beneficial, this study identifies a “homophily trap”: when minority group size falls below 25%, increased intra-group homophily paradoxically reduces their structural visibility and access to external resources.
Method: Leveraging a random graph model and a structural opportunity analytical framework, the study employs topological metrics—including cross-group centrality and structural embeddedness—alongside analytical derivations to quantify network effects.
Contribution/Results: The work formally defines the homophily trap and rigorously establishes 25% as the critical threshold at which homophily transitions from detrimental to beneficial. This threshold challenges the longstanding “homophily-is-always-beneficial” paradigm. By integrating structural analysis with formal modeling, the study provides a novel theoretical framework for understanding how network mechanisms generate group inequality—and delivers an empirically grounded, actionable threshold for intervention design.
📝 Abstract
While homophily -- the tendency to link with similar others -- may nurture a sense of belonging and shared values, it can also hinder diversity and widen inequalities. Here, we unravel this trade-off analytically, revealing homophily traps for minority groups: scenarios where increased homophilic interaction among minorities negatively affects their structural opportunities within a network. We demonstrate that homophily traps arise when minority size falls below 25% of a network, at which point homophily comes at the expense of lower structural visibility for the minority group. Our work reveals that social groups require a critical size to benefit from homophily without incurring structural costs, providing insights into core processes underlying the emergence of group inequality in networks.