IDEAS home Printed from https://ideas.repec.org/p/mlb/wpaper/860.html
   My bibliography  Save this paper

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

Author

Listed:
  • Suren Basov

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.

Suggested Citation

  • Suren Basov, 2002. "A Partial Characterization of the Solution of the Multidimensional Screening Problem with Nonlinear Preferences," Department of Economics - Working Papers Series 860, The University of Melbourne.
    • Handle: RePEc:mlb:wpaper:860
    as

    Download full text from publisher

    File URL: http://www.economics.unimelb.edu.au/downloads/wpapers-02/860.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rochet, J. C., 1985. "The taxation principle and multi-time Hamilton-Jacobi equations," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 113-128, April.
    2. Zinde-Walsh, Victoria, 1995. "ESTIMATION AND INFERENCE IN ECONOMETRICSRussell Davidson and James G. MacKinnon Oxford University Press, 1993," Econometric Theory, Cambridge University Press, vol. 11(3), pages 631-635, June.
    3. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    4. Mark Armstrong, 1999. "Price Discrimination by a Many-Product Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 151-168.
    5. Basov, Suren, 2001. "Hamiltonian approach to multi-dimensional screening," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 77-94, September.
    6. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    7. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    8. 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.
    9. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    10. William James Adams & Janet L. Yellen, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(3), pages 475-498.
    11. Wilson, Robert, 1997. "Nonlinear Pricing," OUP Catalogue, Oxford University Press, number 9780195115826.
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Suren Basov, 2004. "Lie Groups of Partial Differential Equations and Their Application to theMultidimensional Screening Problems," Department of Economics - Working Papers Series 895, The University of Melbourne.
    2. Rick Antle & Peter Bogetoft, 2018. "Procurement with Asymmetric Information About Fixed and Variable Costs," Journal of Accounting Research, Wiley Blackwell, vol. 56(5), pages 1417-1452, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jakša Cvitanić & Julien Hugonnier, 2022. "Optimal fund menus," Mathematical Finance, Wiley Blackwell, vol. 32(2), pages 455-516, April.
    2. Aloisio Araujo & Sergei Vieira & Braulio Calagua, 2022. "A necessary optimality condition in two-dimensional screening," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 781-806, April.
    3. Naoki Kojima, 2014. "Mechanism design to the budget constrained buyer: a canonical mechanism approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 693-719, August.
    4. Araujo, A. & Moreira, H. & Vieira, S., 2015. "The marginal tariff approach without single-crossing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 166-184.
    5. Meng, Dawen & Tian, Guoqiang, 2013. "Multi-task incentive contract and performance measurement with multidimensional types," Games and Economic Behavior, Elsevier, vol. 77(1), pages 377-404.
    6. Manelli, Alejandro M. & Vincent, Daniel R., 2007. "Multidimensional mechanism design: Revenue maximization and the multiple-good monopoly," Journal of Economic Theory, Elsevier, vol. 137(1), pages 153-185, November.
    7. Pass, Brendan, 2012. "Convexity and multi-dimensional screening for spaces with different dimensions," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2399-2418.
    8. X. Ruiz del Portal, 2012. "Conditions for incentive compatibility in models with multidimensional allocation functions and one-dimensional types," Review of Economic Design, Springer;Society for Economic Design, vol. 16(4), pages 311-321, December.
    9. Mark Armstrong, 2016. "Nonlinear Pricing," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 583-614, October.
    10. Pascal Courty & Li Hao, 2000. "Sequential Screening," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 697-717.
    11. Noldeke, Georg & Samuelson, Larry, 2007. "Optimal bunching without optimal control," Journal of Economic Theory, Elsevier, vol. 134(1), pages 405-420, May.
    12. Suren Basov, 2004. "Lie Groups of Partial Differential Equations and Their Application to theMultidimensional Screening Problems," Department of Economics - Working Papers Series 895, The University of Melbourne.
    13. Basov, Suren, 2001. "Hamiltonian approach to multi-dimensional screening," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 77-94, September.
    14. Ulrich Horst & Santiago Moreno-Bromberg, 2010. "Efficiency and Equilibria in Games of Optimal Derivative Design," SFB 649 Discussion Papers SFB649DP2010-035, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    15. Figalli, Alessio & Kim, Young-Heon & McCann, Robert J., 2011. "When is multidimensional screening a convex program?," Journal of Economic Theory, Elsevier, vol. 146(2), pages 454-478, March.
    16. Kelvin Shuangjian Zhang, 2019. "Existence in multidimensional screening with general nonlinear preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(2), pages 463-485, March.
    17. Martimort, David & Stole, Lars A., 2022. "Participation constraints in discontinuous adverse selection models," Theoretical Economics, Econometric Society, vol. 17(3), July.
    18. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 34, pages 2221-2299, Elsevier.
    19. Henrik Jacobsen Kleven & Claus Thustrup Kreiner & Emmanuel Saez, 2007. "The Optimal Income Taxation of Couples as a Multi-Dimensional Screening Problem," Working Papers 2007-1, Princeton University. Economics Department..
    20. Araujo, Aloisio & Moreira, Humberto, 2010. "Adverse selection problems without the Spence-Mirrlees condition," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1113-1141, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mlb:wpaper:860. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Dandapani Lokanathan (email available below). General contact details of provider: https://edirc.repec.org/data/demelau.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.