2023/02/06 by Kai Hao Yang, Yang, Kai Hao, Alexander Zentefis +1 · 1 citation
Economics, Econometrics and Finance · #Complex Systems and Time Series Analysis #Economic theories and models #FOS: Economics and business #Stochastic processes and financial applications #Theoretical Economics (econ.TH)
paper · pdf · doi:10.48550/arxiv.2302.03135
openalex publication_date 2023/02/06 · openalex created_date 2023/02/10 · openalex updated_date 2026/07/28
A monotone function interval is the set of monotone functions that lie pointwise between two fixed monotone functions. We characterize the set of extreme points of monotone function intervals and apply this to a number of economic settings. First, we leverage the main result to characterize the set of distributions of posterior quantiles that can be induced by a signal, with applications to political economy, Bayesian persuasion, and the psychology of judgment. Second, we combine our characterization with properties of convex optimization problems to unify and generalize seminal results in the literature on security design under adverse selection and moral hazard.