← Search

Review of Economic Studies Vol. 59 No. 3 1992

Noisy Observation in Adverse Selection Models

B. Caillaud1; Roger Guesnerie2,3; Patrick Rey4

1 Centre Pour La Recherche Economique et ses Applications · 2 Delta Air Lines (United States) · 3 Delta Electronics (Taiwan) · 4 ENSAE Paris

Abstract

We consider a principal-agent contracting problem under incomplete information where some of the agent's actions are imperfectly observable. Contracts take the form of reward schedules based on the noisy observation of the agent's action. We first review situations where the principal can reach the same utility as in the absence of noise. Then we focus on the use of linear reward schedules, which allow universal implementation, i.e. implementation of a given mechanism for any unbiased noise of observation, and on quadratic reward schedules, which only require the knowledge of the variance of the noise. We exhibit sufficient conditions under which linear reward schedules implement a given mechanism. Finally, we characterize necessary conditions for a mechanism to be implementable under noisy observation by a linear schedule, and by quadratic schedules. We give the geometric intuition behind all results.

DOI
10.2307/2297866
Volume
59
Issue
3
Pages
595
Sources
bibtex:phds-export.bib openalex crossref

Cite