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Nonparametric Analysis of Two-Sided Markets

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  • Senay Sokullu

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Abstract

This paper considers an empirical semiparametric model for two-sided markets. Contrary to existing empirical literature on two-sided markets, we do not rely on linear network effects. Instead, network effects and probability distribution functions of net benefits of two sides are specified nonparametrically. The demand functions and the network effect functions of readers and advertisers are estimated by nonparametric IV estimation using a data set from German magazine industry. The ill-posed inverse problem faced during the estimation is solved by Tikhonov Regularization. We show that semiparametric specification is supported by the data and the network effects on readers' side are neither linear nor monotonic. With a numerical illustration we demonstrate that the mark-up of the magazine on readers' side is 27% higher with the nonlinearly specified network effects than in the case with linear network effects.

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Bibliographic Info

Paper provided by Department of Economics, University of Bristol, UK in its series Bristol Economics Discussion Papers with number 12/628.

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Length: 59 pages
Date of creation: Oct 2012
Date of revision:
Handle: RePEc:bri:uobdis:12/628

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Related research

Keywords: Two-sided markets; Network externality; Nonparametric IV; Ill-posed inverse problems; Tikhonov Regularization;

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References

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  1. Argentesi, Elena & Ivaldi, Marc, 2005. "Market Definition in the Printed Media Industry: Theory and Practice," CEPR Discussion Papers 5096, C.E.P.R. Discussion Papers.
  2. V. Chernozhukov & I. Fernández-Val & A. Galichon, 2009. "Improving point and interval estimators of monotone functions by rearrangement," Biometrika, Biometrika Trust, vol. 96(3), pages 559-575.
  3. D’Haultfoeuille, Xavier, 2011. "On The Completeness Condition In Nonparametric Instrumental Problems," Econometric Theory, Cambridge University Press, vol. 27(03), pages 460-471, June.
  4. Stefan Behringer & Lapo Filistrucchi, 2009. "Price Wars in Two-Sided Markets: The case of the UK Quality Newspapers," Working Papers 09-26, NET Institute, revised Dec 2009.
  5. Richard Blundell & Xiaohong Chen & Dennis Kristensen, 2003. "Nonparametric IV estimation of shape-invariant Engel curves," CeMMAP working papers CWP15/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  6. Whitney K. Newey & James L. Powell, 2003. "Instrumental Variable Estimation of Nonparametric Models," Econometrica, Econometric Society, vol. 71(5), pages 1565-1578, 09.
  7. Elena Argentesi & Lapo Filistrucchi, 2005. "Estimating market power in a two-sided market: the case of newspapers," Economics Working Papers ECO2005/07, European University Institute.
  8. Fève, Frédérique & Florens, Jean-Pierre, 2009. "The Practice of Non Parametric Estimation by Solving Inverse Problems: The Example of Transformation Models," TSE Working Papers 10-169, Toulouse School of Economics (TSE).
  9. Rochet, Jean-Charles & Tirole, Jean, 2003. "Platform Competition in Two-Sided Markets," IDEI Working Papers 152, Institut d'Économie Industrielle (IDEI), Toulouse.
  10. Senay Sokullu, 2012. "Nonparametric Estimation of Semiparametric Transformation Models," Bristol Economics Discussion Papers 12/625, Department of Economics, University of Bristol, UK.
  11. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
  12. Kaiser, Ulrich & Song, Minjae, 2009. "Do media consumers really dislike advertising? An empirical assessment of the role of advertising in print media markets," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 292-301, March.
  13. repec:hal:cesptp:halshs-00175910 is not listed on IDEAS
  14. Fève, Frédérique & Florens, Jean-Pierre, 2009. "The Practice of Non Parametric Estimation by Solving Inverse Problems: The Example of Transformation Models," IDEI Working Papers 615, Institut d'Économie Industrielle (IDEI), Toulouse.
  15. Victor Chernozhukov & Patrick Gagliardini & Olivier Scaillet, 2006. "Nonparametric Instrumental Variable Estimators of Structural Quantile Effects," Swiss Finance Institute Research Paper Series 08-03, Swiss Finance Institute, revised Aug 2009.
  16. Flachaire, Emmanuel, 2005. "Bootstrapping heteroskedastic regression models: wild bootstrap vs. pairs bootstrap," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 361-376, April.
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Cited by:
  1. Filistrucchi, L. & Geradin, D.A.A.G. & Damme, E.E.C. van, 2012. "Identifying Two-Sided Markets," Discussion Paper 2012-008, Tilburg University, Tilburg Law and Economic Center.
  2. Van Keilegom, Ingrid & Vanhems, Anne, 2011. "Semiparametric transformation model with endogeneity: a control function approach," TSE Working Papers 11-243, Toulouse School of Economics (TSE).

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