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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 holds true in a large class of models and is 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 some oligopoly settings. We illustrate the results with several examples and applications.

Suggested Citation

  • Paulo Barelli & Suren Basov & Mauricio Bugarin & Ian King, 2012. "The Robustness of Exclusion in Multi-dimensional Screening," RCER Working Papers 576, University of Rochester - Center for Economic Research (RCER).
    • Handle: RePEc:roc:rocher:576
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    File URL: http://rcer.econ.rochester.edu/RCERPAPERS/rcer_576.pdf
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    References listed on IDEAS

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    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. Bertrand Villeneuve, 2003. "Concurrence et antisélection multidimensionnelle en assurance," Annals of Economics and Statistics, GENES, issue 69, pages 119-142.
    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. 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.
    8. 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.
    9. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 277-311.
    10. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    11. 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.
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    13. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    14. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    15. Paulo Klinger Monteiro & Frank Page & Benar fux Svaiter, 2001. "The one object optimal auction and the desirability of exclusion," GE, Growth, Math methods 0112002, EconWPA.
    16. S. Basov & P. Bardsley, 2004. "A Model of Grants Distribution: A Screening Approach," Econometric Society 2004 Australasian Meetings 252, Econometric Society.
    17. 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.
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    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.

    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

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