Cheap Talk with Strategic Substitutability
Raghul Venkatesh ()
CRETA Online Discussion Paper Series from Centre for Research in Economic Theory and its Applications CRETA
In the classic Crawford-Sobel (CS) model of strategic communication between an informed Sender and uninformed Receiver, perfect information transmission is never achieved as an equilibrium outcome. I present a modified version of the CS cheap talk game with the following two innovations : (i) both players take actions, and (ii) actions are strategic substitutes. In contrast to the CS setup, the modified game can facilitate perfect information revelation. I characterize the conditions under which a full information revelation equilibrium exists. When these conditions are violated, only partial revelation equilibria exist. Under partial revelation, the Sender reveals information up to a threshold state and pools beyond this threshold, resulting in some loss of information. Welfare analysis suggests that partial revelation equilibria with a higher threshold pareto dominate those with lower thresholds. Crucially, a higher threshold equilibrium is also interim efficient – every Sender type at least weakly prefers this over a lower threshold equilibrium.
Keywords: Cheap talk; interdependent action games; full information revelation (search for similar items in EconPapers)
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