“…2 Long, Shleifer, Summers, and Waldmann (1990), DeLong, Shleifer, Summers, and Waldmann (1991), Shleifer and Vishny (1997), and Bernardo and Welch (2001), among others, demonstrate that irrational traders may have long-term viability and can coexist with rational traders. Gervais and Odean (2001) find that initially over-confident traders tend to, over time, become more rational so that, cross-sectionally, at any given point in time a fraction of overconfident traders cohabitates with their rational colleagues.…”