The Probability of Informed Trading (PIN) is a widely used indicator of information asymmetry risk in the trading of securities. Its estimation using maximum likelihood algorithms has been shown to be problematic, resulting in biased estimates, especially in the case of liquid and frequently...

In this note, we characterize the equilibria of the standard pivotal-voter participation game between two groups of voters of asymmetric sizes, as originally proposed by Palfrey and Rosenthal [1983. A strategic calculus of voting. Public Choice. 41, 7-53]