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Platform competition and willingness to pay in a vertical differentiated two-sided market

Author

Listed:
  • Francesco Angelini

    (Department of Statistical Science "Paolo Fortunati", University of Bologna)

  • Corrado Benassi

    (Dipartimento di Scienze Economiche, Alma Mater Studiorum Università di Bologna)

  • Massimiliano Castellani

    (Department of Statistical Science "Paolo Fortunati", University of Bologna)

Abstract

In this paper we generalize the model of single-homing users in two-sided markets by Gabszewicz and Wauthy [2014] to the case of any logconcave distribution of the willingness to pay (WTP). Our extended model allows us to discuss how distributional assumptions affect equilibrium outcomes, as well as to highlight the role of the assumption that both sides of the market are described by the same distribution of the WTP: while equilibrium does exist when this common distribution is logconcave, our results cast some doubts on existence when the two distributions differ.

Suggested Citation

  • Francesco Angelini & Corrado Benassi & Massimiliano Castellani, 2021. "Platform competition and willingness to pay in a vertical differentiated two-sided market," Economics Bulletin, AccessEcon, vol. 41(2), pages 772-780.
    • Handle: RePEc:ebl:ecbull:eb-21-00089
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    References listed on IDEAS

    as
    1. Luca Lambertini & Raimondello Orsini, 2005. "The Existence Of Equilibrium In A Differentiated Duopoly With Network Externalities," The Japanese Economic Review, Japanese Economic Association, vol. 56(1), pages 55-66, March.
    2. Benassi, Corrado & Castellani, Massimiliano & Mussoni, Maurizio, 2016. "Price equilibrium and willingness to pay in a vertically differentiated mixed duopoly," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 86-96.
    3. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    4. Ginger Zhe Jin & Marc Rysman, 2015. "Platform Pricing at Sports Card Conventions," Journal of Industrial Economics, Wiley Blackwell, vol. 63(4), pages 704-735, December.
    5. Gans, Joshua S., 2012. "Mobile application pricing," Information Economics and Policy, Elsevier, vol. 24(1), pages 52-59.
    6. Marc Rysman, 2007. "An Empirical Analysis Of Payment Card Usage," Journal of Industrial Economics, Wiley Blackwell, vol. 55(1), pages 1-36, March.
    7. Baake, Pio & Boom, Anette, 2001. "Vertical product differentiation, network externalities, and compatibility decisions," International Journal of Industrial Organization, Elsevier, vol. 19(1-2), pages 267-284, January.
    8. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
    9. Yurko, Anna V., 2011. "How does income inequality affect market outcomes in vertically differentiated markets?," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 493-503, July.
    10. Corrado Benassi & Alessandra Chirco & Caterina Colombo, 2006. "Vertical Differentiation And The Distribution Of Income," Bulletin of Economic Research, Wiley Blackwell, vol. 58(4), pages 345-367, October.
    11. Andrei Hagiu, 2009. "Two‐Sided Platforms: Product Variety and Pricing Structures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 18(4), pages 1011-1043, December.
    12. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    13. Luca Lambertini & Raimondello Orsini, 2002. "Vertically Differentiated Monopoly with a Positional Good," Australian Economic Papers, Wiley Blackwell, vol. 41(2), pages 151-163, June.
    14. Esteban, Joan M, 1986. "Income-Share Elasticity and the Size Distribution of Income," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(2), pages 439-444, June.
    15. Reisinger, Markus, 2012. "Platform competition for advertisers and users in media markets," International Journal of Industrial Organization, Elsevier, vol. 30(2), pages 243-252.
    16. Luca Lambertini, 2006. "The Economics of Vertically Differentiated Markets," Books, Edward Elgar Publishing, number 4224.
    17. Mark Armstrong Author-Email: mark.armstrong@ucl.ac.uk Author-Workplace-Name: University College of London, 2006. "Competition in Two-Sided Markets," RAND Journal of Economics, The RAND Corporation, vol. 37(3), pages 668-691, Autumn.
    18. Guillaume Roger, 2017. "Two-sided competition with vertical differentiation," Journal of Economics, Springer, vol. 120(3), pages 193-217, April.
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    More about this item

    Keywords

    Two-sided market; Network externalities; Vertical differentiation; Income distribution.;
    All these keywords.

    JEL classification:

    • D3 - Microeconomics - - Distribution
    • D4 - Microeconomics - - Market Structure, Pricing, and Design

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