Monotone Function Intervals: Theory and Applications

Kai Hao Yang and Alexander K. Zentefis

American Economic Review, 2024, vol. 114, issue 8, 2239-70

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.

JEL-codes: C61 C65 D72 D82 D91 G12 (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (2)

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DOI: 10.1257/aer.20230330

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