The first-order approach when the cost of effort is money
AbstractWe provide sufficient conditions for the first-order approach in the principal-agent problem when the agent’s utility has the nonseparable form u(y−c(a)) where y is the contractual payoff and c(a) is the money cost of effort. We first consider a decision-maker facing prospects which cost c(a) and with distributions of returns y that depend on a. The decision problem is shown to be concave if the primitive of the cdf of returns is jointly convex in a and y, a condition we call Concavity of the Cumulative Quantile (CCQ) and which is satisfied by many common distributions. Next we apply CCQ to the distribution of outcomes (or their likelihood-ratio transforms) in the principal-agent problem and derive restrictions on the utility function that validate the first-order approach. We also discuss another condition, log-convexity of the distribution, and show that it allows binding limited liability constraints, which CCQ does not.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 49 (2013)
Issue (Month): 1 ()
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Principal-agent model; Contract; Moral hazard; Pecuniary effort; Nonseparable utility; Information system;
Other versions of this item:
- Marie-Cécile Fagart & Claude Fluet, 2012. "The First-Order Approach when the Cost of Effort is Money," Cahiers de recherche 1220, CIRPEE.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
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