ERN: Other Microeconomics: Asymmetric & Private Information (Topic) | 2021
Information Design Using Copulas
Abstract
We propose an equivalent formulation of a two player information design problem in terms of choosing a copula, as opposed to choosing a joint distribution of a signal and the state variable. We then propose a copula based signal ordering which is both necessary and sufficient for the more informative signal to generate higher dispersion of the distribution of posteriors. Applications involving Bayesian persuasion with a continuous state variable, a buyer s incentives to acquire information and a seller s incentives to provide information in a bilateral trade setting, and the role of insider information in European and American call option valuations are presented.