2010RePEc: Research Papers in EconomicsRequires access

Optimal contracting with private information on cost expectation and variability

Daniel Danau, Annalisa Vinellay

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Abstract

We study the screening problem that arises in a framework where, initially, the agent is privately informed about both the expected production cost and the cost variability and, at a later stage, he learns privately the cost realization. The specifi?c set of relevant incentive constraints, and so the characteristics of the optimal mechanism, depend ?finely upon the curvature of the principal's marginal surplus function as well as the relative importance of the two initial information problems. Pooling of production levels is optimally induced with respect to the cost variability when the principal's knowledge imperfection about the latter is sufficiently less important than that about the expected cost.

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We study the screening problem that arises in a framework where, initially, the agent is privately informed about both the expected production cost and the cost variability and, at a later stage, he learns privately the cost realization. The specifi?c set of relevant incentive constraints, and so the characteristics of the optimal mechanism, depend ?finely upon the curvature of the principal's marginal surplus function as well as the relative importance of the two initial information problems. Pooling of production levels is optimally induced with respect to the cost variability when the principal's knowledge imperfection about the latter is sufficiently less important than that about the expected cost.

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Available abstract

We study the screening problem that arises in a framework where, initially, the agent is privately informed about both the expected production cost and the cost variability and, at a later stage, he learns privately the cost realization. The specifi?c set of relevant incentive constraints, and so the characteristics of the optimal mechanism, depend ?finely upon the curvature of the principal's marginal surplus function as well as the relative importance of the two initial information problems. Pooling of production levels is optimally induced with respect to the cost variability when the principal's knowledge imperfection about the latter is sufficiently less important than that about the expected cost.

Key concepts: Incentive, Marginal cost, Private information retrieval, Principal (computer security), Economics, Function (biology), Microeconomics, Econometrics

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