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Two-sided platforms: dynamic pricing and multiple equilibria

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Abstract

The static model of two sided markets proposed by Rochet and Tirole analyses optimal pricing of a monopolistic platform at the equilibrium point. Their framework implicitly assumes that for each prices set by the platform, the equilibrium number of users on each side will be unique. However, under general conditions, the uniqueness of market equilibrium is not guaranteed. Optimal static prices do not ensure convergence to the preferred full market outcome, as platform may face failure-to-launch or failure-to-grow problems. Hence, to study problems around multiplicity of equilibria, a different framework is required. We propose a dynamic model of monopolistic platform and demonstrate the effects of different dynamic pricing strategies for equilibrium selection and convergence. The main conclusion from the study is that emerging platform can reach the preferred equilibrium by using tariffs with subsidies for early stage users. We give examples of dynamically adjusting tariffs that minimize subsidies. Finally, the dynamic setting reveals a trade-off between the platform profits and social welfare, related to the speed of user base growth.

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  • Przemyslaw Rys & Maciej Sobolewski, 2020. "Two-sided platforms: dynamic pricing and multiple equilibria," JRC Working Papers on Digital Economy 2020-14, Joint Research Centre.
    • Handle: RePEc:ipt:decwpa:202014
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    File URL: https://publications.jrc.ec.europa.eu/repository/handle/JRC123533
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    References listed on IDEAS

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    1. Mark Armstrong, 2006. "Competition in two‐sided markets," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 668-691, September.
    2. Jean‐Charles Rochet & Jean Tirole, 2006. "Two‐sided markets: a progress report," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 645-667, September.
    3. Jean-Charles Rochet & Jean Tirole, 2003. "Platform Competition in Two-Sided Markets," Journal of the European Economic Association, MIT Press, vol. 1(4), pages 990-1029, June.
    4. Caillaud, Bernard & Jullien, Bruno, 2003. "Chicken & Egg: Competition among Intermediation Service Providers," RAND Journal of Economics, The RAND Corporation, vol. 34(2), pages 309-328, Summer.
    5. Andrei Hagiu, 2006. "Pricing and Commitment by Two-Sided Platforms," RAND Journal of Economics, The RAND Corporation, vol. 37(3), pages 720-737, Autumn.
    6. Evans David S. & Schmalensee Richard, 2010. "Failure to Launch: Critical Mass in Platform Businesses," Review of Network Economics, De Gruyter, vol. 9(4), pages 1-28, December.
    7. Andrei Hagiu, 2006. "Pricing and commitment by two‐sided platforms," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 720-737, September.
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    More about this item

    Keywords

    two-sided markets; dynamic pricing; multiplicity of equilibria; dynamic system; online platforms;
    All these keywords.

    JEL classification:

    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly

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