IDEAS home Printed from https://ideas.repec.org/p/roc/rocher/571.html
   My bibliography  Save this paper

The Robustness of Exclusion in Multi-dimensional Screening

Author

Listed:
  • Paulo Barelli

    (University of Rochester)

  • Suren Basov

    (La Trobe University)

  • Mauricio Bugarin

    (Insper Institute)

  • Ian King

    (University of Melbourne)

Abstract

We extend Armstrong's result on exclusion in multi-dimensional screening models in two key ways, providing support for the view that this result is generic and applicable to many different markets. First, we relax the strong technical assumptions he imposed on preferences and consumer types. Second, we extend the result beyond the monopolistic market structure to generalized oligopoly settings with entry. We also analyze applications to several quite different settings: credit markets, the automobile industry, research grants, the regulation of a monopolist with unknown demand and cost functions, and involuntary unemployment in the labor market.

Suggested Citation

  • Paulo Barelli & Suren Basov & Mauricio Bugarin & Ian King, 2012. "The Robustness of Exclusion in Multi-dimensional Screening," RCER Working Papers 571, University of Rochester - Center for Economic Research (RCER).
  • Handle: RePEc:roc:rocher:571
    as

    Download full text from publisher

    File URL: http://rcer.econ.rochester.edu/RCERPAPERS/rcer_571.pdf
    File Function: full text
    Download Restriction: None
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. repec:adr:anecst:y:2003:i:69:p:06 is not listed on IDEAS
    2. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    3. Armstrong, Mark, 1999. "Optimal Regulation with Unknown Demand and Cost Functions," Journal of Economic Theory, Elsevier, vol. 84(2), pages 196-215, February.
    4. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728.
    5. Armstrong, Mark, 2006. "Price discrimination," MPRA Paper 4693, University Library of Munich, Germany.
    6. 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.
    7. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131.
    8. Smart, Michael, 2000. "Competitive Insurance Markets with Two Unobservables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 153-169, February.
    9. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    10. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 277-311.
    11. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    12. Basov Suren & Yin Xiangkang, 2010. "Optimal Screening by Risk-Averse Principals," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-25, March.
    13. 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.
    14. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742.
    15. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117.
    16. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    17. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    18. Paulo Klinger Monteiro & Frank Page & Benar fux Svaiter, 2001. "The one object optimal auction and the desirability of exclusion," GE, Growth, Math methods 0112002, University Library of Munich, Germany.
    19. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735.
    20. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124.
    21. S. Basov & P. Bardsley, 2004. "A Model of Grants Distribution: A Screening Approach," Econometric Society 2004 Australasian Meetings 252, Econometric Society.
    22. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    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. Monteiro, Paulo Klinger & Page, Frank H. & Svaiter, Benar fux, 2013. "Optimal auctions with multidimensional types and the desirability of exclusion," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 106-110.

    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. Barelli, Paulo & Basov, Suren & Bugarin, Mauricio & King, Ian King, 2010. "The Inclusiveness of Exclusion," Insper Working Papers wpe_211, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    2. 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.
    3. Prat, Andrea & Madarász, Kristóf, 2010. "Screening with an Approximate Type Space," CEPR Discussion Papers 7900, C.E.P.R. Discussion Papers.
    4. Scheuer, Florian, 2013. "Adverse selection in credit markets and regressive profit taxation," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1333-1360.
    5. 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.
    6. Dirk Bergemann & Ji Shen & Yun Xu & Edmund M. Yeh, 2012. "Multi-Dimensional Mechanism Design with Limited Information," Levine's Working Paper Archive 786969000000000559, David K. Levine.
    7. Kristóf Madarász & Andrea Prat, 2017. "Sellers with Misspecified Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 790-815.
    8. Christian Moser & Pedro Olea de Souza e Silva, 2019. "Optimal Paternalistic Savings Policies," Opportunity and Inclusive Growth Institute Working Papers 17, Federal Reserve Bank of Minneapolis.
    9. 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.
    10. Pass, Brendan, 2012. "Convexity and multi-dimensional screening for spaces with different dimensions," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2399-2418.
    11. Inderst, Roman & Peitz, Martin, 2012. "Informing consumers about their own preferences," International Journal of Industrial Organization, Elsevier, vol. 30(5), pages 417-428.
    12. Kimmo Berg & Harri Ehtamo, 2012. "Continuous learning methods in two-buyer pricing problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(3), pages 287-304, June.
    13. Kimmo Berg, 2013. "Complexity of solution structures in nonlinear pricing," Annals of Operations Research, Springer, vol. 206(1), pages 23-37, July.
    14. Noldeke,G. & Samuelson,L., 2004. "Decomposable principal-agent problems," Working papers 14, Wisconsin Madison - Social Systems.
    15. Kelvin Shuangjian Zhang, 2017. "Existence in Multidimensional Screening with General Nonlinear Preferences," Papers 1710.08549, arXiv.org, revised Dec 2018.
    16. Khaled Diaw & Jérôme Pouyet, 2005. "Information, competition and (In) complete discrimination," Working Papers hal-00243025, HAL.
    17. 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.
    18. 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.
    19. 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.
    20. Ahnert, Toni & Martinez-Miera, David, 2021. "Bank Runs, Bank Competition and Opacity," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242348, Verein für Socialpolitik / German Economic Association.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:roc:rocher:571. 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: Richard DiSalvo (email available below). General contact details of provider: .

    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.