Duality in Contracting
AbstractIn a linear contracting environment the Fenchel transform provides a complete duality between the contract and the information rent. Through an appropriate generalised convexity this can be extended to provide a complete duality in the supermodular quasilinear contracting environment that covers the majority of applications. Using this framework, we provide a complete characterization of the allocation correspondences that can be implemented by a principal in this environment. We also address the question of when an allocation can be implemented by a menu of simple contracts. Along the way, a supermodular envelope theorem is proved, somewhat different in nature to the Milgrom Segal result.
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Bibliographic InfoPaper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 1141.
Length: 42 pages
Date of creation: 2012
Date of revision:
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Postal: Department of Economics, The University of Melbourne, 5th Floor, Economics and Commerce Building, Victoria, 3010, Australia
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Web page: http://www.economics.unimelb.edu.au
More information through EDIRC
mechanism design; contract theory; duality; Fenchel transform; abstract convexity;
Find related papers by JEL classification:
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-07-23 (All new papers)
- NEP-CTA-2012-07-23 (Contract Theory & Applications)
- NEP-MIC-2012-07-23 (Microeconomics)
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