The class of double-crossing preferences, where signaling is cheaper for higher types than for lower types at low signaling levels and the opposite is true at high signaling levels, underlines the phenomenon of countersignaling. We show that under the D1 refinement, the equilibrium signaling...

This paper provides a general analysis of signaling under doublecrossing preferences with a continuum of types. There are natural economic environments where indifference curves of two types cross twice, so that the celebrated single-crossing property fails to hold. Equilibrium exhibits a...

We develop a general model, with the exponential bandit as a special case, in which high-ability agents are more likely to achieve early success but also learn faster that their project is not promising. These counteracting effects give rise to a signaling model in which the single-crossing...