Screening with an Approximate Type Space
AbstractWe re-visit the single-agent mechanism design problem with quasi-linear preferences, but we assume that the principal knowingly operates on the basis of only an approximate type space rather than the (potentially complex) truth. We propose a two-step scheme, the profit-participation mechanism, whereby: (i) the principal .takes the model seriously and computes the optimal menu for the approximate type space; (ii) but she discounts the price of each allocation proportionally to the profit that the allocation would yield in the approximate model. We characterize the bound to the profit loss and show that it vanishes smoothly as the distance between the approximate type space and the true type space converges to zero. Instead, we show that it is not a valid approximation to simply act as if the model was correct.
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Date of creation: Jun 2010
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Other versions of this item:
- Kristóf Madarász & Andrea Prat, 2010. "Screening with an approximate type space," LSE Research Online Documents on Economics 35056, London School of Economics and Political Science, LSE Library.
- Madaràsz, Kristòf & Prat, Andrea, 2010. "Screening with an Approximate Type Space," CEPR Discussion Papers 7900, C.E.P.R. Discussion Papers.
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
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