A Note on Convex Transformations and the First Order Approach
AbstractThe first order approach to solving the standard one-dimensional principal-agent model is conditional upon the relevant stochastic production function obeying two noteworthy restrictions: that the Likelihood Ratio be monotonically increasing in output, and that the distribution function be convex in effort. It is usually claimed that such conditions are very restrictive, as very few of the standard probability distributions satisfy both properties. The purpose of this note is to show that this lack of generality should not be seen as a problem, since some simple convexifying transformations are available that enable one to work with proper distributions with the required properties.
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Bibliographic InfoPaper provided by The Rimini Centre for Economic Analysis in its series Working Paper Series with number 06_11.
Date of creation: Jan 2011
Date of revision:
Principal agent problem; first order approach;
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- D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
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- Marco LiCalzi & Sandrine Spaeter, 2003. "Distributions for the first-order approach to principal-agent problems," Economic Theory, Springer, vol. 21(1), pages 167-173, 01.
- Patrice Loisel, 2013. "Can CDFC and MLRP Conditions Be Both Satisfied for a Given Distribution?," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 7(3), pages 135-145, November.
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