Monotone Function Intervals: Theory and Applications
Kai Hao Yang, Alexander K. Zentefis
American Economic Review · 2024 · Volume 114 · Issue 8
Abstract
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.
Keywords
Optimization Techniques, Programming Models, Dynamic Analysis, Miscellaneous Mathematical Tools, Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior, Asymmetric and Private Information, Mechanism Design, Micro-Based Behavioral Economics: Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making, Asset Pricing, Trading Volume, Bond Interest Rates
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