IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/101966.html
   My bibliography  Save this paper

Reducing incentive constraints in bidimensional screening

Author

Listed:
  • Calagua, Braulio

Abstract

This paper studies screening problems with quasilinear preferences, where agents' private information is two-dimensional and the allocation instrument is one-dimensional. A pre-order in the set of types is defined comparing types by their marginal valuation for the instrument, which allows reducing the incentive compatibility constraints that must be checked. With this approach, the discretized problem becomes computationally tractable. As an application, it is numerically solved an example from Lewis and Sappington [Lewis, T. and Sappington, D. E., 1988. Regulating a monopolist with unknown demand and cost functions. The RAND Journal of Economics, 438-457].

Suggested Citation

  • Calagua, Braulio, 2018. "Reducing incentive constraints in bidimensional screening," MPRA Paper 101966, University Library of Munich, Germany, revised 2020.
  • Handle: RePEc:pra:mprapa:101966
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/101966/1/MPRA_paper_101966.pdf
    File Function: original version
    Download Restriction: no

    File URL: https://mpra.ub.uni-muenchen.de/108046/1/MPRA_paper_101966.pdf
    File Function: revised version
    Download Restriction: no

    File URL: https://mpra.ub.uni-muenchen.de/108046/8/MPRA_paper_108046.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Armstrong, Mark, 1999. "Optimal Regulation with Unknown Demand and Cost Functions," Journal of Economic Theory, Elsevier, vol. 84(2), pages 196-215, February.
    2. Pierre-André Chiappori & Robert McCann & Lars Nesheim, 2010. "Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(2), pages 317-354, February.
    3. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    4. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 1-21.
    5. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    6. Alexandre Belloni & Giuseppe Lopomo & Shouqiang Wang, 2010. "Multidimensional Mechanism Design: Finite-Dimensional Approximations and Efficient Computation," Operations Research, INFORMS, vol. 58(4-part-2), pages 1079-1089, August.
    7. 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.
    8. Kimmo Berg & Harri Ehtamo, 2009. "Learning in nonlinear pricing with unknown utility functions," Annals of Operations Research, Springer, vol. 172(1), pages 375-392, November.
    9. Barelli, Paulo & Basov, Suren & Bugarin, Mauricio & King, Ian, 2014. "On the optimality of exclusion in multi-dimensional screening," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 74-83.
    10. McAfee, R. Preston & McMillan, John, 1988. "Multidimensional incentive compatibility and mechanism design," Journal of Economic Theory, Elsevier, vol. 46(2), pages 335-354, December.
    11. Rochet, Jean-Charles, 2009. "Monopoly regulation without the Spence-Mirrlees assumption," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 693-700, September.
    12. Tarkiainen, Ritva & Tuomala, Matti, 1999. "Optimal Nonlinear Income Taxation with a Two-Dimensional Population; A Computational Approach," Computational Economics, Springer;Society for Computational Economics, vol. 13(1), pages 1-16, February.
    13. Basov, Suren, 2001. "Hamiltonian approach to multi-dimensional screening," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 77-94, September.
    14. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    15. Wilson, Robert, 1996. "Nonlinear pricing and mechanism design," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 5, pages 253-293, Elsevier.
    Full references (including those not matched with items on IDEAS)

    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. Kimmo Berg, 2013. "Complexity of solution structures in nonlinear pricing," Annals of Operations Research, Springer, vol. 206(1), pages 23-37, July.
    2. Pascal Courty & Li Hao, 2000. "Sequential Screening," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 697-717.
    3. 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.
    4. Feng, Hongli, 2007. "Green payments and dual policy goals," Journal of Environmental Economics and Management, Elsevier, vol. 54(3), pages 323-335, November.
    5. Schottmüller, Christoph, 2015. "Adverse selection without single crossing: Monotone solutions," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 127-164.
    6. Rick Antle & Peter Bogetoft, 2019. "Mix Stickiness Under Asymmetric Cost Information," Management Science, INFORMS, vol. 67(6), pages 2787-2812, June.
    7. 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.
    8. Armstrong, Mark & Sappington, David E.M., 2007. "Recent Developments in the Theory of Regulation," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 27, pages 1557-1700, Elsevier.
    9. Pass, Brendan, 2012. "Convexity and multi-dimensional screening for spaces with different dimensions," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2399-2418.
    10. Blackorby, Charles & Szalay, Dezso, 2008. "Regulating a Monopolist with unknown costs and unknown quality capacity," Economic Research Papers 269856, University of Warwick - Department of Economics.
    11. 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.
    12. 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.
    13. Prat, Andrea & Madarász, Kristóf, 2010. "Screening with an Approximate Type Space," CEPR Discussion Papers 7900, C.E.P.R. Discussion Papers.
    14. Sürücü, Oktay, 2016. "Welfare improving discrimination based on cognitive limitations," Research in Economics, Elsevier, vol. 70(4), pages 608-622.
    15. Condorelli, Daniele, 2013. "Market and non-market mechanisms for the optimal allocation of scarce resources," Games and Economic Behavior, Elsevier, vol. 82(C), pages 582-591.
    16. Che, Yeon-Koo & Gale, Ian, 2000. "The Optimal Mechanism for Selling to a Budget-Constrained Buyer," Journal of Economic Theory, Elsevier, vol. 92(2), pages 198-233, June.
    17. Job Boerma & Aleh Tsyvinski & Alexander P. Zimin, 2022. "Bunching and Taxing Multidimensional Skills," Papers 2204.13481, arXiv.org.
    18. F. Barigozzi & N. Burani, 2014. "Competition and Screening with Skilled and Motivated Workers," Working Papers wp953, Dipartimento Scienze Economiche, Universita' di Bologna.
    19. F. Barigozzi & N. Burani, 2013. "Bidimensional screening with intrinsically motivated workers," Working Papers wp866, Dipartimento Scienze Economiche, Universita' di Bologna.
    20. Eugenio J. Miravete, 2001. "Screening Through Bundling," Penn CARESS Working Papers 3b8e0b3847b08b90e8570987c, Penn Economics Department.

    More about this item

    Keywords

    two-dimensional screening; Spence-Mirrlees condition; incentive compatibility; regulation of a monopoly.;
    All these keywords.

    JEL classification:

    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation

    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:pra:mprapa:101966. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.