“…First, in the case of risk-neutral traders with limited budgets, a longshot bias, when the prices are biased towards 1/2 (see, for instance, Srensen, 2009, 2010a) can arise even if their beliefs are well calibrated. The reason for this is that the market clearing condition typically requires that the price be located not at the median of the distribution of tradersÕ beliefs but at a percentile closer to 1/2 than the median (Ali, 1977;Manski, 2006). Extending this framework, Ottaviani and Srensen (2010b) examine a fully revealing rational expectations equilibrium, in which traders make correct inferences from prices, given common knowledge of the information structure and prior beliefs.…”