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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.
    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.
    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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    1. 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.
    2. Sergey Kokovin & Babu Nahata, 2017. "Method of Digraphs for Multi-dimensional Screening," Annals of Operations Research, Springer, vol. 253(1), pages 431-451, June.
    3. 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.
    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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