In the examples in the chapter, equilibrium strategies are monotonic in type. Find and informally…

In the examples in the chapter, equilibrium strategies are monotonic in type. Find and informally discuss examples in which such a monotonicity would not necessarily hold. (Hint: Consider the Chatterjee-Samuelson double auction with negatively correlated types. Find other examples. Discuss generally what goes wrong with the usual proof of monotonicity when types are correlated.)