<i>Simple</i> Mediation in a Cheap-Talk Game

In the Crawford–Sobel (uniform, quadratic utility) cheap-talk model, we consider a <i>simple</i> mediation scheme (a communication device) in which the informed agent reports one of the <i>N</i> possible elements of a partition to the mediator and then the mediator suggests o...

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Bibliographic Details
Main Authors: Chirantan Ganguly, Indrajit Ray
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Games
Subjects:
Online Access:https://www.mdpi.com/2073-4336/14/3/47
Description
Summary:In the Crawford–Sobel (uniform, quadratic utility) cheap-talk model, we consider a <i>simple</i> mediation scheme (a communication device) in which the informed agent reports one of the <i>N</i> possible elements of a partition to the mediator and then the mediator suggests one of the <i>N</i> actions to the uninformed decision-maker according to the probability distribution of the device. We show that no such <i>simple</i> mediated equilibrium can improve upon the unmediated <i>N</i>-partition Crawford–Sobel equilibrium when the preference divergence parameter (bias) is small.
ISSN:2073-4336