Open Access
Simple contracts with adverse selection and moral hazard
Author(s) -
Gottlieb Daniel,
Moreira Humberto
Publication year - 2022
Publication title -
theoretical economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.404
H-Index - 32
eISSN - 1555-7561
pISSN - 1933-6837
DOI - 10.3982/te2992
Subject(s) - adverse selection , moral hazard , risk neutral , private information retrieval , stochastic game , mathematical economics , limited liability , microeconomics , monotonic function , contract theory , economics , actuarial science , mathematics , statistics , incentive , finance , mathematical analysis
We study a principal–agent model with moral hazard and adverse selection. Risk‐neutral agents with limited liability have arbitrary private information about the distribution of outputs and the cost of effort. We show that under a multiplicative separability condition, the optimal mechanism offers a single contract. This condition holds, for example, when output is binary. If the principal's payoff must also satisfy free disposal and the distribution of outputs has the monotone likelihood ratio property, the mechanism offers a single debt contract. Our results generalize if the output distribution is “close” to multiplicatively separable. Our model suggests that offering a single contract may be optimal in environments with adverse selection and moral hazard when agents are risk‐neutral and have limited liability.