Nonmonotone Mechanism Design
I characterize the set of implementable allocation functions in the standard one dimensional mechanism design environment where the relationship between private information and payoffs is possibly non-monotone. The characterization is useful in two aspects. First it leads to a rather mild condition under which individual rationality follows directly from incentive compatibility. Second, it can be conveniently used to determine the implementability of allocation functions in certain novel applications. In particular I show that neither monotonicity of allocations, nor the monotone differences property on values is necessary for implementation. In an application, I study a buyer-seller relationship where the buyer’s value displays habit formation, which enters into his payoff through a commonly known parameter. Habit implies that the agent’s value is a nonmonotone function of his type and that monotone diferences condition can not be satisfied for all parameters. For a set of parameters, the seller-optimal mechanism is nonmonotone: the seller screens out low and high types.
|Date of creation:||2012|
|Date of revision:|
|Contact details of provider:|| Postal: Camino a Sta. Teresa 930, Mexico, D.F. 10700|
Phone: +525 628 4197
Fax: +525 628 4058
Web page: http://cie.itam.mx/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Jehiel, Philippe & Moldovanu, Benny, 2001.
"Efficient Design with Interdependent Valuations,"
Econometric Society, vol. 69(5), pages 1237-59, September.
- Jehiel, Phillipe & Moldovanu, Benny, 1998. "Efficient Design with Interdependent Valuations," Sonderforschungsbereich 504 Publications 98-22, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Jéhiel, Philippe & Moldovanu, Benny, 1999. "Efficient design with interdependent valuations," Papers 99-74, Sonderforschungsbreich 504.
- Jehiel, Phillipe & Moldovanu, Benny, 1999. "Efficient Design with Interdependent Valuations," Sonderforschungsbereich 504 Publications 99-74, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Philippe Jehiel & Benny Moldovanu, 1998. "Efficient Design with Interdependent Valuations," Discussion Papers 1244, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-61, March.
- Steven Matthews & John Moore, 1985.
"Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening,"
661, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Matthews, Steven & Moore, John, 1987. "Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening," Econometrica, Econometric Society, vol. 55(2), pages 441-67, March.
- Mookherjee, Dilip & Reichelstein, Stefan, 1992. "Dominant strategy implementation of Bayesian incentive compatible allocation rules," Journal of Economic Theory, Elsevier, vol. 56(2), pages 378-399, April.
- Vohra,Rakesh V., 2011. "Mechanism Design," Cambridge Books, Cambridge University Press, number 9781107004368, September.
- Sushil Bikhchandani & Shurojit Chatterji & Ron Lavi & Ahuva Mu'alem & Noam Nisan & Arunava Sen, 2006. "Weak Monotonicity Characterizes Deterministic Dominant-Strategy Implementation," Econometrica, Econometric Society, vol. 74(4), pages 1109-1132, 07.
- Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-19, July.
- Dirk Bergemann & Juuso Valimaki, 2002.
"Information Acquisition and Efficient Mechanism Design,"
Econometric Society, vol. 70(3), pages 1007-1033, May.
- Dirk Bergemann & Juuso Vaimaki, 2000. "Information Acquisition and Efficient Mechanism Design," Cowles Foundation Discussion Papers 1248, Cowles Foundation for Research in Economics, Yale University.
- Garcia, Diego, 2005. "Monotonicity in direct revelation mechanisms," Economics Letters, Elsevier, vol. 88(1), pages 21-26, July.
- Fernando Branco, 1996. "Multiple unit auctions of an indivisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 77-101.
- Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
- Vohra,Rakesh V., 2011. "Mechanism Design," Cambridge Books, Cambridge University Press, number 9780521179461, September.
When requesting a correction, please mention this item's handle: RePEc:cie:wpaper:1202. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Diego Dominguez)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.