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You're not alone in feeling alone: Believing you have fewer friends than your peers can contribute to unhappiness -- ScienceDaily

The researchers found a greater proportion of students (48 per cent) believed other students had made more close friends than they did. Thirty-one per cent believed the opposite. A second survey tracking 389 students across their first year found students who believed their peers had more friends at the beginning of the year reported lower levels of wellbeing. However, several months later, the same students who thought their peers had moderately more friends than they did at the beginning of the year reported making more friends compared to students who thought their peers had many more friends. "We think students are motivated to make more friends if they think their peers only have one or two more friends than they do," said Whillans. "But if they feel like the gap is too big, it's almost as if they give up and feel it isn't even worth trying."