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Nonparametric Analysis of Two-Sided Markets

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  • Senay Sokullu

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.

Suggested Citation

  • Senay Sokullu, 2012. "Nonparametric Analysis of Two-Sided Markets," Bristol Economics Discussion Papers 12/628, School of Economics, University of Bristol, UK.
    • Handle: RePEc:bri:uobdis:12/628
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    Cited by:

    1. Gabriel Garber & Márcio Issao Nakane, 2015. "The Break of Brand Exclusivity in Brazilian Credit Card Acquiring: effects and markup-cost decomposition in a price dispersion setting," Working Papers Series 390, Central Bank of Brazil, Research Department.
    2. Vanhems, Anne & Van Keilegom, Ingrid, 2019. "Estimation Of A Semiparametric Transformation Model In The Presence Of Endogeneity," Econometric Theory, Cambridge University Press, vol. 35(1), pages 73-110, February.
    3. Lapo Filistrucchi & Damien Geradin & Eric van Damme, 2012. "Identifying Two-Sided Markets," Working Papers - Economics wp2012_01.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    4. Centorrino Samuele & Feve Frederique & Florens Jean-Pierre, 2017. "Additive Nonparametric Instrumental Regressions: A Guide to Implementation," Journal of Econometric Methods, De Gruyter, vol. 6(1), pages 1-25, January.
    5. Senay SOKULLU & Sami STOULI, 2017. "Cross-Validation Selection of Regularisation Parameter(s) for Semiparametric Transformation Models," Annals of Economics and Statistics, GENES, issue 128, pages 67-108.
    6. Vanhems, Anne & Van Keilegom, Ingrid, 2013. "Semiparametric transformation model with endogeneity: a control function approach," LIDAM Discussion Papers ISBA 2013018, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    7. Vanhems, Anne & Van Keilegom, Ingrid, 2011. "Semiparametric transformation model with endogeneity: a control function approach," LIDAM Discussion Papers ISBA 2011011, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    8. 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).
    9. Alexei Alexandrov, 2015. "Anti-Competitive Interconnection: the effects of the elasticity of consumers' expectations and the shape of the network effects function," Journal of Industrial Economics, Wiley Blackwell, vol. 63(1), pages 74-99, March.
    10. Feve, Frederique & Florens, Jean-Pierre & Van Keilegom, Ingrid, 2012. "Estimation of conditional ranks and tests of exogeneity in nonparametric nonseparable models," LIDAM Discussion Papers ISBA 2012036, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    11. Ivaldi, Marc & Sokullu, Senay & Toru-Delibasi, Tuba, 2015. "Airport Prices in a Two-Sided Market Setting: Major US Airports," TSE Working Papers 15-587, Toulouse School of Economics (TSE).

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    More about this item

    Keywords

    Two-sided markets; Network externality; Nonparametric IV; Ill-posed inverse problems; Tikhonov Regularization;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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