Abstract
This paper provides a general analysis of signaling under double-crossing 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 particular form of pooling: there is a threshold type below which types choose actions that are fully revealing and above which they choose actions that are clustered in possibly non-monotonic ways, with a gap separating these two sets of types. We also provide an algorithm to establish equilibrium existence by construction under mild conditions.
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