Monotone Function Intervals: Theory and Applications

• 成果类型: Article
• 署名作者: Yang, Kai Hao; Zentefis, Alexander K.
• 署名单位: Yale University
• 刊物名称: AMERICAN ECONOMIC REVIEW
• ISSN/ISSBN: 0002-8282
• DOI: 10.1257/aer.20230330
• 发表日期: 2024
• 关键词: EXTREME-POINTS; PROBABILITY-MEASURES; persuasion; liquidity; REPRESENTATION; INFORMATION; disclosure; CHOICE; POLICY

摘要

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. ( JEL C61, C65, D72, D82, D91, G12)