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A Partial Characterization of the Solution of the Multidimensional Screening Problem with Nonlinear Preferences

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Suren Basov

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Abstract

In this paper I apply the Hamiltonian method to solve the relaxed multidimensional screening problem. I also illustrate by some examples that the Hamiltonian technique coupled with implementability criterion developed by Carlier [2002] sometimes allows us to arrive at a complete solution of a screening problem.

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File URL: http://www.economics.unimelb.edu.au/SITE/research/workingpapers/wp02/860.pdf
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Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 860.

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Length: 62 pages
Date of creation: 2002
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Handle: RePEc:mlb:wpaper:860

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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.:
  1. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January. [Downloadable!] (restricted)
  2. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March. [Downloadable!] (restricted)
  3. Armstrong, Mark, 1999. "Price Discrimination by a Many-Product Firm," Review of Economic Studies, Blackwell Publishing, vol. 66(1), pages 151-68, January. [Downloadable!] (restricted)
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  4. Adams, William James & Yellen, Janet L, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, MIT Press, vol. 90(3), pages 475-98, August. [Downloadable!] (restricted)
  5. Carlier, Guillaume, 2001. "A general existence result for the principal-agent problem with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 129-150, February. [Downloadable!] (restricted)
  6. Basov, Suren, 2001. "Hamiltonian approach to multi-dimensional screening," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 77-94, September. [Downloadable!] (restricted)
  7. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August. [Downloadable!] (restricted)
  8. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
  9. 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. [Downloadable!] (restricted)
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  1. Suren Basov, 2004. "Lie Groups of Partial Differential Equations and Their Application to the Multidimensional Screening Problems," Econometric Society 2004 Australasian Meetings 44, Econometric Society. [Downloadable!]
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