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Multidimensional screening under nonlinear costs: Limits of standard approach

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  • Kokovin, Sergey
  • Nahata, Babu
  • Zhelobodko, Evgeny

Abstract

We generalize the usual screening approach and conditions for efficiency-at-the-top and acyclic property from linear to fixed-plus-separable or concave costs and multidimensional commodities. But under non-concave costs, like capacity constraints, an example shows a cycle in the solution graph. The cycle makes the standard screening solution non-implementable and approach inadequate.

Suggested Citation

  • Kokovin, Sergey & Nahata, Babu & Zhelobodko, Evgeny, 2010. "Multidimensional screening under nonlinear costs: Limits of standard approach," Economics Letters, Elsevier, vol. 107(2), pages 263-265, May.
    • Handle: RePEc:eee:ecolet:v:107:y:2010:i:2:p:263-265
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    References listed on IDEAS

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    1. Andersson, Tommy, 2008. "Efficiency properties of non-linear pricing schedules without the single-crossing condition," Economics Letters, Elsevier, vol. 99(2), pages 364-366, May.
    2. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871525, September.
    3. Andersson, Tommy, 2005. "Profit maximizing nonlinear pricing," Economics Letters, Elsevier, vol. 88(1), pages 135-139, July.
    4. Guesnerie, Roger & Seade, Jesus, 1982. "Nonlinear pricing in a finite economy," Journal of Public Economics, Elsevier, vol. 17(2), pages 157-179, March.
    5. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083, September.
    6. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
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    Cited by:

    1. Sergey Kokovin & Babu Nahata, 2017. "Method of Digraphs for Multi-dimensional Screening," Annals of Operations Research, Springer, vol. 253(1), pages 431-451, June.
    2. Sergey Kokovin & Babu Nahata & Evgeny Zhelobodko, 2014. "Distortion in Screening and Spatial Preferences," HSE Working papers WP BRP 83/EC/2014, National Research University Higher School of Economics.
    3. Kokovin, S. & Nahata, B. & Zhelobodko, E., 2011. "All Solution Graphs in Multidimensional Screening," Journal of the New Economic Association, New Economic Association, issue 11, pages 10-38.
    4. Kokovin, Sergey & Nahata, Babu & Zhelobodko, Evgeny, 2013. "Dupuit conjecture for constrained screening: Overall distortion and type-partitioning," Economics Letters, Elsevier, vol. 118(3), pages 439-441.

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