When Friendship Is Not Reciprocated: What Status Hierarchies Reveal

What Does Unreciprocated Friendship Mean?

In friendship networks, participants are typically asked to name their friends — the result is a directed network in which friendship nominations can run in only one direction. A surprisingly high share of these nominations is never returned: in the AddHealth study with over 90,000 US students at 84 schools, the reciprocity rate rarely exceeded 50% and sometimes dropped to just 30% (Ball & Newman, 2013).

The analysis of these unreciprocated friendships reveals a remarkable pattern: in every network studied, a ranking of participants from low to high can be derived, in which nearly all unreciprocated friendships run from a lower-ranked person toward a higher-ranked one. Only about 2% of unreciprocated nominations run against the ranking — in randomized control networks, it would be around 10%. The authors suspect that these rankings reflect a measure of social status.

30–50% Are One-Sided

Two clearly different classes of unreciprocated friendships emerge: many fall between people of similar rank — just like reciprocated friendships. These may actually be mutual relationships that were captured one-sidedly because respondents were limited to naming at most ten friends. In addition, there is an asymmetric “tail” of the distribution: lower-ranked individuals claim friendship with significantly higher-ranked ones, which is termed aspirational friendships. These nominations decrease with growing rank difference — people are more likely to claim friendship with moderately higher-ranked individuals than with those at the very top.

Reciprocated and unreciprocated friendships therefore follow different statistical patterns and likely arise through different processes. Unreciprocated nominations are not measurement errors but systematically reflect the social hierarchy within a community — a finding that is consistent across all 84 school networks studied and underscores the role of status similarity in friendship formation.

Status Gradient and Direction

The study uses data from the National Longitudinal Study of Adolescent Health (AddHealth), one of the largest school network studies in the United States. Over 90,000 students in grades 7–12 (ages 12–18) were surveyed in 1994–1995. The statistical method — maximum-likelihood estimation with an expectation-maximization algorithm — makes it possible to derive hidden rank orders from observed network data while modeling reciprocated and unreciprocated friendships separately. The idea that unreciprocated friendships reflect status differences was first proposed by Homans (1950) and Davis and Leinhardt (1972). Ball and Newman formalize this conjecture mathematically for the first time and confirm it empirically across 84 independent school networks — a remarkably consistent pattern.

The study relies on cross-sectional data — whether these rank orders remain stable over time is unclear. The limit of at most ten friendship nominations could bias the results, since popular individuals may not have been able to list all their actual friends. The interpretation of unreciprocated nominations as “aspirational” is the authors’ conjecture — alternative explanations are possible: Sørensen and Hallinan (1976) suggested that roughly half of unreciprocated friendships develop into reciprocated ones and the other half disappear, pointing to unstable or still-forming relationships. Testing this hypothesis requires longitudinal data, which are not available here. Moreover, rank and network metrics are not independent, as both are derived from the same data.

Why We Don’t Notice

The current state of research on this aspect is summarized below.

What to Do?

The current state of research on this aspect is summarized below.

Frequently Asked Questions

How do I recognize a one-sided friendship?

In friendship networks, participants are typically asked to name their friends — the result is a directed network in which friendship nominations can run in only one direction.

Why do we believe friendships are mutual?

The analysis of these unreciprocated friendships reveals a remarkable pattern: in every network studied, a ranking of participants from low to high can be derived, in which nearly all unreciprocated friendships run from a lower-ranked person toward a higher-ranked one.

What do one-sided friendships reveal about status?

Reciprocated and unreciprocated friendships follow different statistical patterns and likely arise through different processes.

Should you end one-sided friendships?

Two clearly different classes of unreciprocated friendships emerge: many fall between people of similar rank — just like reciprocated friendships.